{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:UAGFFSASP5KTCWWZFG72YR5CUT","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":"0d424fcb3818fa6821f43d54f13586b52958b8cd7294e83248bc7a3d95618887","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2018-11-19T07:56:16Z","title_canon_sha256":"08e8d04af96baebafd3d9322b424e5906143a04e89a572fe89fb1b4db7720d59"},"schema_version":"1.0","source":{"id":"1811.07538","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1811.07538","created_at":"2026-05-17T23:56:36Z"},{"alias_kind":"arxiv_version","alias_value":"1811.07538v3","created_at":"2026-05-17T23:56:36Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1811.07538","created_at":"2026-05-17T23:56:36Z"},{"alias_kind":"pith_short_12","alias_value":"UAGFFSASP5KT","created_at":"2026-05-18T12:32:56Z"},{"alias_kind":"pith_short_16","alias_value":"UAGFFSASP5KTCWWZ","created_at":"2026-05-18T12:32:56Z"},{"alias_kind":"pith_short_8","alias_value":"UAGFFSAS","created_at":"2026-05-18T12:32:56Z"}],"graph_snapshots":[{"event_id":"sha256:84bb1faba470d000d7d59b320f2cddaa06a8100286d265131844ec1de7adc4dd","target":"graph","created_at":"2026-05-17T23:56:36Z","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":"Construction of representations of braid group generators from $N$-state vertex models provide an elegant route to study knot and link invariants. Using such a braid group representation, an algebraic formula for the link invariants was put forth when the same spin $(N-1)/2$ are placed on all the component knots. In this paper, we generalise the procedure to deduce representations of braiding generators from bi-partite vertex models. Such a representation allows the study of multi-colored link invariants where the component knots carry different spins. We propose a multi-colored link invariant","authors_text":"P. Ramadevi, Romesh K. Kaul, Saswati Dhara, Vivek Kumar Singh","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2018-11-19T07:56:16Z","title":"Bi-partite vertex model and multi-colored link invariants"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1811.07538","kind":"arxiv","version":3},"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":"sha256:57d7db96855865d59bdb916625479d93a77294b39c90aee9306b3629a05277fb","target":"record","created_at":"2026-05-17T23:56:36Z","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":"0d424fcb3818fa6821f43d54f13586b52958b8cd7294e83248bc7a3d95618887","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2018-11-19T07:56:16Z","title_canon_sha256":"08e8d04af96baebafd3d9322b424e5906143a04e89a572fe89fb1b4db7720d59"},"schema_version":"1.0","source":{"id":"1811.07538","kind":"arxiv","version":3}},"canonical_sha256":"a00c52c8127f55315ad929bfac47a2a4dbe91d6b66d7738c062ced001b797023","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a00c52c8127f55315ad929bfac47a2a4dbe91d6b66d7738c062ced001b797023","first_computed_at":"2026-05-17T23:56:36.317853Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:56:36.317853Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"/WRYQXqAcoeEcf4kIa7WeME6gp7F//ohcKzxRDrriX6EI6Z6aUamsWT+o+HS6VYFDAJXh2K5rwQcOFXIWySHAw==","signature_status":"signed_v1","signed_at":"2026-05-17T23:56:36.318555Z","signed_message":"canonical_sha256_bytes"},"source_id":"1811.07538","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:57d7db96855865d59bdb916625479d93a77294b39c90aee9306b3629a05277fb","sha256:84bb1faba470d000d7d59b320f2cddaa06a8100286d265131844ec1de7adc4dd"],"state_sha256":"728f08919713535da5b02e7c5da9960d8a792609af03335178a015bcb4bea85f"}