{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2004:F4X6YXXN6SU3KPSFCTZALW6ATQ","short_pith_number":"pith:F4X6YXXN","schema_version":"1.0","canonical_sha256":"2f2fec5eedf4a9b53e4514f205dbc09c00db9a60ceb80749086aa753b6ec911e","source":{"kind":"arxiv","id":"math/0406190","version":1},"attestation_state":"computed","paper":{"title":"Problems on invariants of knots and 3-manifolds","license":"","headline":"","cross_cats":["math.AT","math.QA"],"primary_cat":"math.GT","authors_text":"A. Haviv, A. Kricker, A. Stoimenow, B. Sanderson, C. Lescop, C. Rourke, C.-Y. Park, D. Bar-Natan, D. Thurston, E. Ferrand, E. Guadagnini, F. Deloup, G. Masbaum, G. Massuyeau, H. Habiro, H. Murakami, H. R. Morton, J. E. Andersen, J. Murakami, J. Przytycki, J. Roberts, J. S. Carter, L. Pilo, L. Rozansky, M. Boileau, M. Goussarov, M.-J. Jeong, M. Kidwell, M. Okamoto, M. Polyak, N. Askitas, N. Dunfield, N. Okuda, N. Sato, O. Viro, R. Benedetti, R. Bott, R. Fenn, R. Kashaev, S. Baseilhac, S. Bigelow, S. Garoufalidis, S. K. Hansen, S. Morita, S. Willerton, T. Harikae, T. Kerler, T. Kohno, T. Ohtsuki, T. Stanford, T. Takata, T. T. Q. Le, V. Jones, V. Turaev, X.-S. Lin, Y. Kawahigashi, Y. Nakanishi, Y. Ohyama, Y. Shinohara, Y. Yokota","submitted_at":"2004-06-09T15:35:57Z","abstract_excerpt":"This is a list of open problems on invariants of knots and 3-manifolds with expositions of their history, background, significance, or importance. This list was made by editing open problems given in problem sessions in the workshop and seminars on `Invariants of Knots and 3-Manifolds' held at Kyoto in 2001."},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"math/0406190","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"math.GT","submitted_at":"2004-06-09T15:35:57Z","cross_cats_sorted":["math.AT","math.QA"],"title_canon_sha256":"5b14cfafe71c29cf9f29d978a184837955d3dca5be4d845d80ce4c68396fa901","abstract_canon_sha256":"b7a68967264fcbe4ef231cc0b7bec252d4697f3c14de7fd26eebc48a253f93f8"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T14:38:42.342592Z","signature_b64":"no8HJht9qCP5RLW7p/BQoJL8TB+31PD/TZ95yzCXYC5kxcZVu665JOSqZXtnjqLKjZeFEr/EyLXxG30vxXQzBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2f2fec5eedf4a9b53e4514f205dbc09c00db9a60ceb80749086aa753b6ec911e","last_reissued_at":"2026-07-04T14:38:42.342158Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T14:38:42.342158Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Problems on invariants of knots and 3-manifolds","license":"","headline":"","cross_cats":["math.AT","math.QA"],"primary_cat":"math.GT","authors_text":"A. Haviv, A. Kricker, A. Stoimenow, B. Sanderson, C. Lescop, C. Rourke, C.-Y. Park, D. Bar-Natan, D. Thurston, E. Ferrand, E. Guadagnini, F. Deloup, G. Masbaum, G. Massuyeau, H. Habiro, H. Murakami, H. R. Morton, J. E. Andersen, J. Murakami, J. Przytycki, J. Roberts, J. S. Carter, L. Pilo, L. Rozansky, M. Boileau, M. Goussarov, M.-J. Jeong, M. Kidwell, M. Okamoto, M. Polyak, N. Askitas, N. Dunfield, N. Okuda, N. Sato, O. Viro, R. Benedetti, R. Bott, R. Fenn, R. Kashaev, S. Baseilhac, S. Bigelow, S. Garoufalidis, S. K. Hansen, S. Morita, S. Willerton, T. Harikae, T. Kerler, T. Kohno, T. Ohtsuki, T. Stanford, T. Takata, T. T. Q. Le, V. Jones, V. Turaev, X.-S. Lin, Y. Kawahigashi, Y. Nakanishi, Y. Ohyama, Y. Shinohara, Y. Yokota","submitted_at":"2004-06-09T15:35:57Z","abstract_excerpt":"This is a list of open problems on invariants of knots and 3-manifolds with expositions of their history, background, significance, or importance. This list was made by editing open problems given in problem sessions in the workshop and seminars on `Invariants of Knots and 3-Manifolds' held at Kyoto in 2001."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/0406190","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/math/0406190/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"aliases":[{"alias_kind":"arxiv","alias_value":"math/0406190","created_at":"2026-07-04T14:38:42.342211+00:00"},{"alias_kind":"arxiv_version","alias_value":"math/0406190v1","created_at":"2026-07-04T14:38:42.342211+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math/0406190","created_at":"2026-07-04T14:38:42.342211+00:00"},{"alias_kind":"pith_short_12","alias_value":"F4X6YXXN6SU3","created_at":"2026-07-04T14:38:42.342211+00:00"},{"alias_kind":"pith_short_16","alias_value":"F4X6YXXN6SU3KPSF","created_at":"2026-07-04T14:38:42.342211+00:00"},{"alias_kind":"pith_short_8","alias_value":"F4X6YXXN","created_at":"2026-07-04T14:38:42.342211+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/F4X6YXXN6SU3KPSFCTZALW6ATQ","json":"https://pith.science/pith/F4X6YXXN6SU3KPSFCTZALW6ATQ.json","graph_json":"https://pith.science/api/pith-number/F4X6YXXN6SU3KPSFCTZALW6ATQ/graph.json","events_json":"https://pith.science/api/pith-number/F4X6YXXN6SU3KPSFCTZALW6ATQ/events.json","paper":"https://pith.science/paper/F4X6YXXN"},"agent_actions":{"view_html":"https://pith.science/pith/F4X6YXXN6SU3KPSFCTZALW6ATQ","download_json":"https://pith.science/pith/F4X6YXXN6SU3KPSFCTZALW6ATQ.json","view_paper":"https://pith.science/paper/F4X6YXXN","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=math/0406190&json=true","fetch_graph":"https://pith.science/api/pith-number/F4X6YXXN6SU3KPSFCTZALW6ATQ/graph.json","fetch_events":"https://pith.science/api/pith-number/F4X6YXXN6SU3KPSFCTZALW6ATQ/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/F4X6YXXN6SU3KPSFCTZALW6ATQ/action/timestamp_anchor","attest_storage":"https://pith.science/pith/F4X6YXXN6SU3KPSFCTZALW6ATQ/action/storage_attestation","attest_author":"https://pith.science/pith/F4X6YXXN6SU3KPSFCTZALW6ATQ/action/author_attestation","sign_citation":"https://pith.science/pith/F4X6YXXN6SU3KPSFCTZALW6ATQ/action/citation_signature","submit_replication":"https://pith.science/pith/F4X6YXXN6SU3KPSFCTZALW6ATQ/action/replication_record"}},"created_at":"2026-07-04T14:38:42.342211+00:00","updated_at":"2026-07-04T14:38:42.342211+00:00"}