{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:M5T6VVUEGHRGSUOZ7QG2GUXXUT","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"740d1c7841ff69d59abedfe92ade7e2fc33d141b02fa9661ab7500062674f734","cross_cats_sorted":["math.QA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2017-03-20T11:38:57Z","title_canon_sha256":"41cdd6e9da40e0a6d1eb1db4153e00463ee81dce319ab2ae0484f347f98e9809"},"schema_version":"1.0","source":{"id":"1703.06691","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1703.06691","created_at":"2026-05-17T23:51:00Z"},{"alias_kind":"arxiv_version","alias_value":"1703.06691v2","created_at":"2026-05-17T23:51:00Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1703.06691","created_at":"2026-05-17T23:51:00Z"},{"alias_kind":"pith_short_12","alias_value":"M5T6VVUEGHRG","created_at":"2026-05-18T12:31:28Z"},{"alias_kind":"pith_short_16","alias_value":"M5T6VVUEGHRGSUOZ","created_at":"2026-05-18T12:31:28Z"},{"alias_kind":"pith_short_8","alias_value":"M5T6VVUE","created_at":"2026-05-18T12:31:28Z"}],"graph_snapshots":[{"event_id":"sha256:e8870f9ba2843483e23fdd7897db46128c09b2d39d29df794171d503464ab0a9","target":"graph","created_at":"2026-05-17T23:51:00Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"We prove that the bigraded colored Khovanov-Rozansky type A link and tangle invariants are functorial with respect to link and tangle cobordisms.","authors_text":"Daniel Tubbenhauer, Michael Ehrig, Paul Wedrich","cross_cats":["math.QA"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2017-03-20T11:38:57Z","title":"Functoriality of colored link homologies"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1703.06691","kind":"arxiv","version":2},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:a9552f959c94152bec0d536d4b1aecafeb3b1dc1f952ff61a6f2bfd7e314b476","target":"record","created_at":"2026-05-17T23:51:00Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"740d1c7841ff69d59abedfe92ade7e2fc33d141b02fa9661ab7500062674f734","cross_cats_sorted":["math.QA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2017-03-20T11:38:57Z","title_canon_sha256":"41cdd6e9da40e0a6d1eb1db4153e00463ee81dce319ab2ae0484f347f98e9809"},"schema_version":"1.0","source":{"id":"1703.06691","kind":"arxiv","version":2}},"canonical_sha256":"6767ead68431e26951d9fc0da352f7a4e43122f276b8abe1126ae00bb23ae24b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6767ead68431e26951d9fc0da352f7a4e43122f276b8abe1126ae00bb23ae24b","first_computed_at":"2026-05-17T23:51:00.365502Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:51:00.365502Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"S3K+vSvvfLiAoQsyasoOMc+Sh5nDTWF93gvhvnjLd28JXz22+ASa8WIPTirl5ocugguej4gUKuPN33VSsieZDg==","signature_status":"signed_v1","signed_at":"2026-05-17T23:51:00.365967Z","signed_message":"canonical_sha256_bytes"},"source_id":"1703.06691","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a9552f959c94152bec0d536d4b1aecafeb3b1dc1f952ff61a6f2bfd7e314b476","sha256:e8870f9ba2843483e23fdd7897db46128c09b2d39d29df794171d503464ab0a9"],"state_sha256":"6ab913700151c1623f32e381e611d439e089986f2c84eb1d6d87abcf238a6980"}