{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2008:2CAKDYQ2YYIHWYW7TXGJ4IOQOO","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":"0a92203bac535530ea23032a2677f66617979a56276a5df88a9060ca01570a05","cross_cats_sorted":["math.QA"],"license":"","primary_cat":"math.GT","submitted_at":"2008-01-25T20:08:03Z","title_canon_sha256":"ba186d65c0173811262853ee5f2586c8a4c3db1c50e6fde9c43f3d88cdbcdd60"},"schema_version":"1.0","source":{"id":"0801.4018","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0801.4018","created_at":"2026-07-04T15:09:21Z"},{"alias_kind":"arxiv_version","alias_value":"0801.4018v4","created_at":"2026-07-04T15:09:21Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0801.4018","created_at":"2026-07-04T15:09:21Z"},{"alias_kind":"pith_short_12","alias_value":"2CAKDYQ2YYIH","created_at":"2026-07-04T15:09:21Z"},{"alias_kind":"pith_short_16","alias_value":"2CAKDYQ2YYIHWYW7","created_at":"2026-07-04T15:09:21Z"},{"alias_kind":"pith_short_8","alias_value":"2CAKDYQ2","created_at":"2026-07-04T15:09:21Z"}],"graph_snapshots":[{"event_id":"sha256:dde25f151c15f97aab0d018484710f38210261f3481723ec8e40c18122e7e044","target":"graph","created_at":"2026-07-04T15:09:21Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/0801.4018/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We investigate the Khovanov-Rozansky invariant of a certain tangle and its compositions. Surprisingly the complexes we encounter reduce to ones that are very simple. Furthermore, we discuss a \"local\" algorithm for computing Khovanov-Rozansky homology and compare our results with those for the \"foam\" version of sl_3-homology.","authors_text":"Daniel Krasner","cross_cats":["math.QA"],"headline":"","license":"","primary_cat":"math.GT","submitted_at":"2008-01-25T20:08:03Z","title":"A computation in Khovanov-Rozansky Homology"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0801.4018","kind":"arxiv","version":4},"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:c4d823e2a32dadb9fde3ac5df643e4df4450da887ec335c843e9051d6252d9fc","target":"record","created_at":"2026-07-04T15:09:21Z","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":"0a92203bac535530ea23032a2677f66617979a56276a5df88a9060ca01570a05","cross_cats_sorted":["math.QA"],"license":"","primary_cat":"math.GT","submitted_at":"2008-01-25T20:08:03Z","title_canon_sha256":"ba186d65c0173811262853ee5f2586c8a4c3db1c50e6fde9c43f3d88cdbcdd60"},"schema_version":"1.0","source":{"id":"0801.4018","kind":"arxiv","version":4}},"canonical_sha256":"d080a1e21ac6107b62df9dcc9e21d07393bc214bea8cb75626fc2ed7a2285d63","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d080a1e21ac6107b62df9dcc9e21d07393bc214bea8cb75626fc2ed7a2285d63","first_computed_at":"2026-07-04T15:09:21.001557Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T15:09:21.001557Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"uDe/94X/fevRqLOyX1S7ZI9Hlsw/+lDXtgt3Wh6OpRVW08r7P02C2hp1eJvGjdm+7ymGx6/ds2tYttin/9z+Dg==","signature_status":"signed_v1","signed_at":"2026-07-04T15:09:21.001976Z","signed_message":"canonical_sha256_bytes"},"source_id":"0801.4018","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c4d823e2a32dadb9fde3ac5df643e4df4450da887ec335c843e9051d6252d9fc","sha256:dde25f151c15f97aab0d018484710f38210261f3481723ec8e40c18122e7e044"],"state_sha256":"34c867e5b5afe7807c45bf8c61ff637fabe4c02e5942c98a614733bff38e4b08"}