{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2000:5KW73GJSVJCDC6QPPTUIYX3ZQR","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":"52a0c7f70982ec48117a56d22e175cfe0a34c44efa055b29f3530f5a5e1b882d","cross_cats_sorted":["math.GT"],"license":"","primary_cat":"hep-th","submitted_at":"2000-04-27T17:07:38Z","title_canon_sha256":"668f7c63ea7a3ed8f68c629ff7cddcbb330a48ae71d2d1c0dba485e34ea71875"},"schema_version":"1.0","source":{"id":"hep-th/0004196","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/0004196","created_at":"2026-07-04T16:20:45Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/0004196v3","created_at":"2026-07-04T16:20:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/0004196","created_at":"2026-07-04T16:20:45Z"},{"alias_kind":"pith_short_12","alias_value":"5KW73GJSVJCD","created_at":"2026-07-04T16:20:45Z"},{"alias_kind":"pith_short_16","alias_value":"5KW73GJSVJCDC6QP","created_at":"2026-07-04T16:20:45Z"},{"alias_kind":"pith_short_8","alias_value":"5KW73GJS","created_at":"2026-07-04T16:20:45Z"}],"graph_snapshots":[{"event_id":"sha256:7bc9b3e940b775d6aba602700e44b635c6ac7b17a6c357342f78a5e55d2e00de","target":"graph","created_at":"2026-07-04T16:20:45Z","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/hep-th/0004196/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We make a precision test of a recently proposed conjecture relating Chern-Simons gauge theory to topological string theory on the resolution of the conifold. First, we develop a systematic procedure to extract string amplitudes from vacuum expectation values (vevs) of Wilson loops in Chern-Simons gauge theory, and then we evaluate these vevs in arbitrary irreducible representations of SU(N) for torus knots. We find complete agreement with the predictions derived from the target space interpretation of the string amplitudes. We also show that the structure of the free energy of topological open","authors_text":"J.M.F. Labastida, M. Marino","cross_cats":["math.GT"],"headline":"","license":"","primary_cat":"hep-th","submitted_at":"2000-04-27T17:07:38Z","title":"Polynomial invariants for torus knots and topological strings"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/0004196","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":"sha256:559ed9bf8826c9d27f3322124c5ab085341a0d7b19433490cf3a1c99415a7ac1","target":"record","created_at":"2026-07-04T16:20:45Z","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":"52a0c7f70982ec48117a56d22e175cfe0a34c44efa055b29f3530f5a5e1b882d","cross_cats_sorted":["math.GT"],"license":"","primary_cat":"hep-th","submitted_at":"2000-04-27T17:07:38Z","title_canon_sha256":"668f7c63ea7a3ed8f68c629ff7cddcbb330a48ae71d2d1c0dba485e34ea71875"},"schema_version":"1.0","source":{"id":"hep-th/0004196","kind":"arxiv","version":3}},"canonical_sha256":"eaadfd9932aa44317a0f7ce88c5f79844ab898b32d4f56737b647ebebcd84bc5","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"eaadfd9932aa44317a0f7ce88c5f79844ab898b32d4f56737b647ebebcd84bc5","first_computed_at":"2026-07-04T16:20:45.171551Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T16:20:45.171551Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"M6+udLm1oRtk8fL8T1ui4zGTcjU2pXiq7vKYGIfyyFnkN03qYiFVWiU9DB3+dHPxGu5fg9NuMxgIZEn9/u3cCA==","signature_status":"signed_v1","signed_at":"2026-07-04T16:20:45.172013Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-th/0004196","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:559ed9bf8826c9d27f3322124c5ab085341a0d7b19433490cf3a1c99415a7ac1","sha256:7bc9b3e940b775d6aba602700e44b635c6ac7b17a6c357342f78a5e55d2e00de"],"state_sha256":"386873a1b6a0e97f8abd884e0154125d06b7aee0888f0e476ce62bb8fdac5d35"}