{ "schema": 1, "scope": "A bounded test of the 34-group/34-asterism count coincidence; not a Vumarii decryption.", "source_paper": { "path": "archive/recon/reference-papers/bonnet-bidaud-praderie-whitfield-2009-dunhuang-chinese-sky.pdf", "sha256": "cd449d46586d1303e1225bf418554400037b71b765da27b3e1e9da4cd991c7e1", "public_source_url": "https://arxiv.org/pdf/0906.3034", "official_mirror_url": "https://idp.bl.uk/wp-content/uploads/2023/09/THE-DUNHUANG-CHINESE-SKY_-A-COMPREHENSIVE-STUDY-OF-THE-OLDEST-KNOWN-STAR-ATLAS.pdf", "table": "Table 5: Content of map 13 (North Circumpolar region)", "rendered_pdf_pages_checked": [ 25, 26, 27 ], "text_check_terms": [ "Table 5", "Tianchu", "Tianlao", "34", "142" ], "table_boundary": "The values are a scholarly transcription of the historical chart, not an author-selected Tengri 137 key. Table 5 lists its asterisms north-to-south and east-to-west." }, "vumarii_tokens": { "path": "archive/gaps/tr1-00-files/vumarii-2019-TRANSCRIPTION.txt", "sha256": "2c6eb4492a3975c034e9fb4ba75ae676acad0fc979b76e7a0463bd77170ad6b3", "all_group_count": 34, "body_group_count": 32, "signature_group_count": 2, "body_slot_count": 154, "signature_slot_count": 17, "red_containing_group_positions_1_based": [ 4, 8, 22, 33 ], "boundary": "The 34-group count is available only when the two visible signature groups (TENGRI137 and 666AB731) are counted with the seven-line body. The signed image does not state that signatures are asterism tokens." }, "asterisms": [ { "index": 1, "name": "Tianchu", "on_map_star_count": 6 }, { "index": 2, "name": "Wudizuo", "on_map_star_count": 5 }, { "index": 3, "name": "Chuanshe", "on_map_star_count": 7 }, { "index": 4, "name": "Tianzhu", "on_map_star_count": 5 }, { "index": 5, "name": "Liujia", "on_map_star_count": 5 }, { "index": 6, "name": "Huagai", "on_map_star_count": 7 }, { "index": 7, "name": "Gouchen", "on_map_star_count": 6 }, { "index": 8, "name": "NI 1", "on_map_star_count": 1 }, { "index": 9, "name": "Tianhuang", "on_map_star_count": 4 }, { "index": 10, "name": "Ziwei", "on_map_star_count": 15 }, { "index": 11, "name": "Zhuxiashi", "on_map_star_count": 1 }, { "index": 12, "name": "N\u00fcshi", "on_map_star_count": 1 }, { "index": 13, "name": "Tianpei", "on_map_star_count": 6 }, { "index": 14, "name": "Shangshu", "on_map_star_count": 5 }, { "index": 15, "name": "Beiji", "on_map_star_count": 4 }, { "index": 16, "name": "Sifu", "on_map_star_count": 4 }, { "index": 17, "name": "Neijie", "on_map_star_count": 6 }, { "index": 18, "name": "Bagu", "on_map_star_count": 8 }, { "index": 19, "name": "Tianchuang", "on_map_star_count": 4 }, { "index": 20, "name": "Taiyi", "on_map_star_count": 1 }, { "index": 21, "name": "Tianyi", "on_map_star_count": 1 }, { "index": 22, "name": "Tai", "on_map_star_count": 1 }, { "index": 23, "name": "Tian", "on_map_star_count": 1 }, { "index": 24, "name": "Sangong (2)", "on_map_star_count": 3 }, { "index": 25, "name": "Tianqiang", "on_map_star_count": 3 }, { "index": 26, "name": "Beidou", "on_map_star_count": 7 }, { "index": 27, "name": "Tianli", "on_map_star_count": 4 }, { "index": 28, "name": "Wenchang", "on_map_star_count": 5 }, { "index": 29, "name": "Xuange", "on_map_star_count": 1 }, { "index": 30, "name": "Sangong (1)", "on_map_star_count": 3 }, { "index": 31, "name": "Xiang", "on_map_star_count": 1 }, { "index": 32, "name": "Taiyangshou", "on_map_star_count": 1 }, { "index": 33, "name": "Shi", "on_map_star_count": 4 }, { "index": 34, "name": "Tianlao", "on_map_star_count": 6 } ], "asterism_data_boundary": "Tianpei is recorded with six stars so the values match the table's stated 142-star total; its printed cell says '5 or 6'. Huagai and Beiji have additional annotation outside the basic on-map values. None reaches the Vumarii values at their tested positions.", "groups": [ { "line": 1, "group_in_line": 1, "raw_glyph_classes": [ "C00", "C01", "C02" ], "slot_count": 3, "contains_red_ink": false, "is_signature_group": false }, { "line": 1, "group_in_line": 2, "raw_glyph_classes": [ "C04", "C05", "C00", "C06" ], "slot_count": 4, "contains_red_ink": false, "is_signature_group": false }, { "line": 1, "group_in_line": 3, "raw_glyph_classes": [ "C07", "C08" ], "slot_count": 2, "contains_red_ink": false, "is_signature_group": false }, { "line": 1, "group_in_line": 4, "raw_glyph_classes": [ "*C01", "*C04", "*C09", "*C08", "*C10", "*C02", "*C02" ], "slot_count": 7, "contains_red_ink": true, "is_signature_group": false }, { "line": 2, "group_in_line": 1, "raw_glyph_classes": [ "C07", "C06" ], "slot_count": 2, "contains_red_ink": false, "is_signature_group": false }, { "line": 2, "group_in_line": 2, "raw_glyph_classes": [ "C11", "C12", "C10", "C13", "C06" ], "slot_count": 5, "contains_red_ink": false, "is_signature_group": false }, { "line": 2, "group_in_line": 3, "raw_glyph_classes": [ "C00", "C08" ], "slot_count": 2, "contains_red_ink": false, "is_signature_group": false }, { "line": 2, "group_in_line": 4, "raw_glyph_classes": [ "*C00", "*C12", "*C14", "*C15", "*C10", "*C02" ], "slot_count": 6, "contains_red_ink": true, "is_signature_group": false }, { "line": 3, "group_in_line": 1, "raw_glyph_classes": [ "C02", "C15", "C16", "C08" ], "slot_count": 4, "contains_red_ink": false, "is_signature_group": false }, { "line": 3, "group_in_line": 2, "raw_glyph_classes": [ "C15", "C12", "C14", "C12", "C14", "C14", "C12" ], "slot_count": 7, "contains_red_ink": false, "is_signature_group": false }, { "line": 3, "group_in_line": 3, "raw_glyph_classes": [ "C14", "C17", "C06", "C13" ], "slot_count": 4, "contains_red_ink": false, "is_signature_group": false }, { "line": 3, "group_in_line": 4, "raw_glyph_classes": [ "C18", "C06", "C07", "C08", "C14", "C12" ], "slot_count": 6, "contains_red_ink": false, "is_signature_group": false }, { "line": 4, "group_in_line": 1, "raw_glyph_classes": [ "C07", "C12" ], "slot_count": 2, "contains_red_ink": false, "is_signature_group": false }, { "line": 4, "group_in_line": 2, "raw_glyph_classes": [ "C19", "C04", "C02", "C14", "C14", "C08" ], "slot_count": 6, "contains_red_ink": false, "is_signature_group": false }, { "line": 4, "group_in_line": 3, "raw_glyph_classes": [ "C05", "C08", "C14", "C15" ], "slot_count": 4, "contains_red_ink": false, "is_signature_group": false }, { "line": 4, "group_in_line": 4, "raw_glyph_classes": [ "C20", "C05", "C08", "C14", "C08" ], "slot_count": 5, "contains_red_ink": false, "is_signature_group": false }, { "line": 5, "group_in_line": 1, "raw_glyph_classes": [ "C11", "C08", "C04", "C21", "C04" ], "slot_count": 5, "contains_red_ink": false, "is_signature_group": false }, { "line": 5, "group_in_line": 2, "raw_glyph_classes": [ "C08", "C22", "C02", "C05", "C00", "C06" ], "slot_count": 6, "contains_red_ink": false, "is_signature_group": false }, { "line": 5, "group_in_line": 3, "raw_glyph_classes": [ "C07", "C08", "C04", "C21" ], "slot_count": 4, "contains_red_ink": false, "is_signature_group": false }, { "line": 5, "group_in_line": 4, "raw_glyph_classes": [ "C11", "C17", "C08", "C20", "C08", "C00" ], "slot_count": 6, "contains_red_ink": false, "is_signature_group": false }, { "line": 5, "group_in_line": 5, "raw_glyph_classes": [ "C08", "C14", "C07", "C08", "C09", "C08", "C20" ], "slot_count": 7, "contains_red_ink": false, "is_signature_group": false }, { "line": 6, "group_in_line": 1, "raw_glyph_classes": [ "*C00", "*C12", "*C14", "*C15", "*C10", "*C02" ], "slot_count": 6, "contains_red_ink": true, "is_signature_group": false }, { "line": 6, "group_in_line": 2, "raw_glyph_classes": [ "C02", "C00", "C20", "C17", "C02", "C14" ], "slot_count": 6, "contains_red_ink": false, "is_signature_group": false }, { "line": 6, "group_in_line": 3, "raw_glyph_classes": [ "C09", "C12", "C13" ], "slot_count": 3, "contains_red_ink": false, "is_signature_group": false }, { "line": 6, "group_in_line": 4, "raw_glyph_classes": [ "C15", "C12", "C14", "C12", "C14", "C14", "C12" ], "slot_count": 7, "contains_red_ink": false, "is_signature_group": false }, { "line": 6, "group_in_line": 5, "raw_glyph_classes": [ "C00", "C05", "C17", "C06", "C20" ], "slot_count": 5, "contains_red_ink": false, "is_signature_group": false }, { "line": 6, "group_in_line": 6, "raw_glyph_classes": [ "C20", "C08", "C13", "C02", "C18", "C00" ], "slot_count": 6, "contains_red_ink": false, "is_signature_group": false }, { "line": 6, "group_in_line": 7, "raw_glyph_classes": [ "C12", "C00", "C09", "C12", "C20" ], "slot_count": 5, "contains_red_ink": false, "is_signature_group": false }, { "line": 7, "group_in_line": 1, "raw_glyph_classes": [ "C07", "C12" ], "slot_count": 2, "contains_red_ink": false, "is_signature_group": false }, { "line": 7, "group_in_line": 2, "raw_glyph_classes": [ "C11", "C17", "C12", "C07" ], "slot_count": 4, "contains_red_ink": false, "is_signature_group": false }, { "line": 7, "group_in_line": 3, "raw_glyph_classes": [ "C16", "C12", "C21", "C08", "C10", "C04" ], "slot_count": 6, "contains_red_ink": false, "is_signature_group": false }, { "line": 7, "group_in_line": 4, "raw_glyph_classes": [ "C17", "C12", "C07", "C06", "C23", "C12", "C10" ], "slot_count": 7, "contains_red_ink": false, "is_signature_group": false }, { "line": 8, "group_in_line": 1, "raw_glyph_classes": [ "*C00", "*C12", "*C14", "*C15", "*C10", "*C02", "C24", "C25", "C26" ], "slot_count": 9, "contains_red_ink": true, "is_signature_group": true }, { "line": 9, "group_in_line": 1, "raw_glyph_classes": [ "C27", "C27", "C27", "C08", "C22", "C26", "C25", "C24" ], "slot_count": 8, "contains_red_ink": false, "is_signature_group": true } ], "length_test": { "hypothesis": "Map each of 34 full-image whitespace-separated Vumarii groups to Table-5 asterisms and compare glyph-slot length with the asterism's published on-map star count.", "generous_order_allowance": "canonical Table-5 order and its full reverse only", "directions": [ { "direction": "canonical_north_to_south_east_to_west", "exact_length_matches": 5, "total_absolute_difference": 99, "pearson_correlation": -0.06273563325667006, "star_counts": [ 6, 5, 7, 5, 5, 7, 6, 1, 4, 15, 1, 1, 6, 5, 4, 4, 6, 8, 4, 1, 1, 1, 1, 3, 3, 7, 4, 5, 1, 3, 1, 1, 4, 6 ] }, { "direction": "reverse", "exact_length_matches": 5, "total_absolute_difference": 85, "pearson_correlation": 0.20108421396480045, "star_counts": [ 6, 4, 1, 1, 3, 1, 5, 4, 7, 3, 3, 1, 1, 1, 1, 4, 8, 6, 4, 4, 5, 6, 1, 1, 15, 4, 1, 6, 7, 5, 5, 7, 5, 6 ] } ] }, "controls": { "seed": 137666731, "control_count": 100000, "selection_rule": "Each control receives the same best-of-canonical-or-reverse direction allowance as the observed list.", "exact_length_matches": { "observed_best": 5, "control_mean": 4.71214, "at_least_observed": 53145, "empirical_p_value": 0.5314546854531454 }, "absolute_pearson_correlation": { "observed_best": 0.20108421396480045, "control_mean": 0.19908439678722842, "at_least_observed": 46147, "empirical_p_value": 0.46147538524614756 }, "minimum_total_absolute_difference": { "observed_best": 85, "control_mean": 87.77362, "at_most_observed": 38574, "empirical_p_value": 0.3857461425385746 } }, "conclusion": "The full image's 34 groups match Map 13's 34 asterisms only as a count, and only by including the two signature groups. The direct token-length/star-count mapping is ordinary under the stated controls and yields no traversal or plaintext.", "limits": [ "The image does not source-select either a text reading order or this token-length operation; the test is deliberately generous rather than a claimed intended method.", "The audit does not test arbitrary asterism-name alphabets, star paths, geometric routes, or ciphers because no author artifact specifies them.", "A negative count/length test does not prove that the Dunhuang reference has no intended role in Vumarii." ] }