{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:322XGP7V3KKGKRCMNLHYDAZ4YN","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":"1681a9fe6713d99a207786d9f2747d82e393cedab6e69bfe5aad7b512e7c65ec","cross_cats_sorted":["math-ph","math.GT","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2026-05-25T09:57:30Z","title_canon_sha256":"783679376ff794a1c0333415f68439e4ab4b08c7ec01797a1eef627907c5a5dd"},"schema_version":"1.0","source":{"id":"2605.25650","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2605.25650","created_at":"2026-05-26T02:04:48Z"},{"alias_kind":"arxiv_version","alias_value":"2605.25650v1","created_at":"2026-05-26T02:04:48Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2605.25650","created_at":"2026-05-26T02:04:48Z"},{"alias_kind":"pith_short_12","alias_value":"322XGP7V3KKG","created_at":"2026-05-26T02:04:48Z"},{"alias_kind":"pith_short_16","alias_value":"322XGP7V3KKGKRCM","created_at":"2026-05-26T02:04:48Z"},{"alias_kind":"pith_short_8","alias_value":"322XGP7V","created_at":"2026-05-26T02:04:48Z"}],"graph_snapshots":[{"event_id":"sha256:297a1045331dc0433f4dd5684bbc2d6d07474fe8c1237104b72679fedac47286","target":"graph","created_at":"2026-05-26T02:04:48Z","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/2605.25650/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Recently, for a limited class for bipartite links, the complicated Khovanov-Rozansky matrix factorization technique was reduced to an analogue of elementary Kauffman-Khovanov cycle calculus for an arbitrary $N$. In this note, we demonstrate the consistency of such reduction with the computation of the bipartite Khovanov polynomials for $N=2$. Namely, we explain how the Kauffman-Khovanov $2^2$-hypercube is shrinked to the bipartite 3-hypercube.","authors_text":"A. Anokhina, A. Morozov, E. Lanina","cross_cats":["math-ph","math.GT","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2026-05-25T09:57:30Z","title":"Khovanov complexes for bipartite links"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2605.25650","kind":"arxiv","version":1},"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:c04e6bdd17f3b1d63b563f8475e9378f5361468cb762a91990d2fed7d3dc6398","target":"record","created_at":"2026-05-26T02:04:48Z","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":"1681a9fe6713d99a207786d9f2747d82e393cedab6e69bfe5aad7b512e7c65ec","cross_cats_sorted":["math-ph","math.GT","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2026-05-25T09:57:30Z","title_canon_sha256":"783679376ff794a1c0333415f68439e4ab4b08c7ec01797a1eef627907c5a5dd"},"schema_version":"1.0","source":{"id":"2605.25650","kind":"arxiv","version":1}},"canonical_sha256":"deb5733ff5da9465444c6acf81833cc349fcf57e02efbb20e836f3cc867ab08d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"deb5733ff5da9465444c6acf81833cc349fcf57e02efbb20e836f3cc867ab08d","first_computed_at":"2026-05-26T02:04:48.213880Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-26T02:04:48.213880Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"SvMffQVRDcE5sbuvavqxeINK8wv6l5/aWdfFPe/c7tpi0Myo9b1/B0bRDzCxPtOL4dWMdaS+yfLSuFnj4sxLBA==","signature_status":"signed_v1","signed_at":"2026-05-26T02:04:48.214817Z","signed_message":"canonical_sha256_bytes"},"source_id":"2605.25650","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c04e6bdd17f3b1d63b563f8475e9378f5361468cb762a91990d2fed7d3dc6398","sha256:297a1045331dc0433f4dd5684bbc2d6d07474fe8c1237104b72679fedac47286"],"state_sha256":"173eb2b9691eeb388433ebcb264d60aac0e593ccdbb703660ba056941b288d1a"}