{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:KLE2YGPGTBC6TFT6HO22UZWD34","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":"093796f3d9aa3a4fad3ec2f53c25b9e3c6914f6916a18957e976d1139f0d834d","cross_cats_sorted":["cs.MS","hep-th","math-ph","math.MP","quant-ph"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.GT","submitted_at":"2026-07-26T09:09:41Z","title_canon_sha256":"357c00ce62558ace827b7801a001512b1dd9bf270f5322edf925fb12fa625037"},"schema_version":"1.0","source":{"id":"2607.23551","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2607.23551","created_at":"2026-07-28T01:22:58Z"},{"alias_kind":"arxiv_version","alias_value":"2607.23551v1","created_at":"2026-07-28T01:22:58Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2607.23551","created_at":"2026-07-28T01:22:58Z"},{"alias_kind":"pith_short_12","alias_value":"KLE2YGPGTBC6","created_at":"2026-07-28T01:22:58Z"},{"alias_kind":"pith_short_16","alias_value":"KLE2YGPGTBC6TFT6","created_at":"2026-07-28T01:22:58Z"},{"alias_kind":"pith_short_8","alias_value":"KLE2YGPG","created_at":"2026-07-28T01:22:58Z"}],"graph_snapshots":[{"event_id":"sha256:8786243beab0cfc92d98615060c332fbb527b661ec16cb42e94639233b7b2c01","target":"graph","created_at":"2026-07-28T01:22:58Z","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/2607.23551/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We present an interactive web platform that unifies the construction Feynman ribbon diagrams (FRDs), the evaluation of higher-rank Chern--Simons knot invariants, and the identification of FRD-like knots at higher crossing numbers. These tree-structured diagrams naturally represent arborescent knots, which we refer to throughout as FRD-like knots. Within a single visual environment, users can construct an FRD as a tensor network, evaluate its associated Chern--Simons invariants, and use the resulting invariant data to distinguish and identify the corresponding knot. To our knowledge, this is th","authors_text":"Amena Al Rawi, Hisham Sati, Vivek Kumar Singh","cross_cats":["cs.MS","hep-th","math-ph","math.MP","quant-ph"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.GT","submitted_at":"2026-07-26T09:09:41Z","title":"A TQFT-based Platform for Efficient Computation of Knot Invariants"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2607.23551","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":"sha256:2dcf981cf65bbf273b14d814cccc9c86c12a5b974aabf6148c0a8e8a89732b74","target":"record","created_at":"2026-07-28T01:22:58Z","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":"093796f3d9aa3a4fad3ec2f53c25b9e3c6914f6916a18957e976d1139f0d834d","cross_cats_sorted":["cs.MS","hep-th","math-ph","math.MP","quant-ph"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.GT","submitted_at":"2026-07-26T09:09:41Z","title_canon_sha256":"357c00ce62558ace827b7801a001512b1dd9bf270f5322edf925fb12fa625037"},"schema_version":"1.0","source":{"id":"2607.23551","kind":"arxiv","version":1}},"canonical_sha256":"52c9ac19e69845e9967e3bb5aa66c3df14df862d4bcde5e3f37c28683edebf98","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"52c9ac19e69845e9967e3bb5aa66c3df14df862d4bcde5e3f37c28683edebf98","first_computed_at":"2026-07-28T01:22:58.896645Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-28T01:22:58.896645Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"8wMvb/9vi/Sci2iNZHY6Ha5x2GCav7Ylwrx+Z4zAR2wR3YxOHupGBvGePFWE/SWulmdtbeHBUcEbjrLAY1dgDQ==","signature_status":"signed_v1","signed_at":"2026-07-28T01:22:58.897506Z","signed_message":"canonical_sha256_bytes"},"source_id":"2607.23551","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2dcf981cf65bbf273b14d814cccc9c86c12a5b974aabf6148c0a8e8a89732b74","sha256:8786243beab0cfc92d98615060c332fbb527b661ec16cb42e94639233b7b2c01"],"state_sha256":"329976ccf59a62a9343e71af357af36c63d19196655cd124a0f24ee12ae2174b"}