{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:JZD6ZDABHSMHTFARAVCF6AA72P","short_pith_number":"pith:JZD6ZDAB","canonical_record":{"source":{"id":"1401.5095","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2014-01-20T21:27:11Z","cross_cats_sorted":["math.GT"],"title_canon_sha256":"533c1ac5254c0f152873d08b087156b0d5d4e414d8c7bd4997329b2931bd28b2","abstract_canon_sha256":"aab3d5a9355f1ff54031f6ed66562038afb235f7e98db5412d43c0fc5cbc69a0"},"schema_version":"1.0"},"canonical_sha256":"4e47ec8c013c9879941105445f001fd3ed586615c8d12a017f4d442fe622a424","source":{"kind":"arxiv","id":"1401.5095","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1401.5095","created_at":"2026-05-18T01:45:18Z"},{"alias_kind":"arxiv_version","alias_value":"1401.5095v3","created_at":"2026-05-18T01:45:18Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1401.5095","created_at":"2026-05-18T01:45:18Z"},{"alias_kind":"pith_short_12","alias_value":"JZD6ZDABHSMH","created_at":"2026-05-18T12:28:35Z"},{"alias_kind":"pith_short_16","alias_value":"JZD6ZDABHSMHTFAR","created_at":"2026-05-18T12:28:35Z"},{"alias_kind":"pith_short_8","alias_value":"JZD6ZDAB","created_at":"2026-05-18T12:28:35Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:JZD6ZDABHSMHTFARAVCF6AA72P","target":"record","payload":{"canonical_record":{"source":{"id":"1401.5095","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2014-01-20T21:27:11Z","cross_cats_sorted":["math.GT"],"title_canon_sha256":"533c1ac5254c0f152873d08b087156b0d5d4e414d8c7bd4997329b2931bd28b2","abstract_canon_sha256":"aab3d5a9355f1ff54031f6ed66562038afb235f7e98db5412d43c0fc5cbc69a0"},"schema_version":"1.0"},"canonical_sha256":"4e47ec8c013c9879941105445f001fd3ed586615c8d12a017f4d442fe622a424","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:45:18.676431Z","signature_b64":"pWH/MKcOWVQoQGgmp2IO5AgO/DESst2706CgfK4gC3PGyuZRyyfKX6nzusHqMTIatYWma3kzRB+LzePHKMt5Bg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4e47ec8c013c9879941105445f001fd3ed586615c8d12a017f4d442fe622a424","last_reissued_at":"2026-05-18T01:45:18.675770Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:45:18.675770Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1401.5095","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:45:18Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"wqIgHNfmJMP1fxUnVxDTCf47QS2yU8zYQeY8ustXk7iFFC8Sm8EBi2+HvZcP47j8Y+p3y844goMPTeiNGjLOCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T14:51:11.528970Z"},"content_sha256":"302dcac9d2849db72f371a6a00a0b3e316a9010e355c72355dbf0a69b12a0b3f","schema_version":"1.0","event_id":"sha256:302dcac9d2849db72f371a6a00a0b3e316a9010e355c72355dbf0a69b12a0b3f"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:JZD6ZDABHSMHTFARAVCF6AA72P","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Knot Invariants from Topological Recursion on Augmentation Varieties","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.GT"],"primary_cat":"hep-th","authors_text":"Albrecht Klemm, Hans Jockers, Jie Gu, Masoud Soroush","submitted_at":"2014-01-20T21:27:11Z","abstract_excerpt":"Using the duality between Wilson loop expectation values of SU(N) Chern-Simons theory on $S^3$ and topological open-string amplitudes on the local mirror of the resolved conifold, we study knots on $S^3$ and their invariants encoded in colored HOMFLY polynomials by means of topological recursion. In the context of the local mirror Calabi-Yau threefold of the resolved conifold, we generalize the topological recursion of the remodelled B-model in order to study branes beyond the class of toric Harvey-Lawson special Lagrangians -- as required for analyzing non-trivial knots on $S^3$. The basic in"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1401.5095","kind":"arxiv","version":3},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:45:18Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"QGNPop6u/0cjOUYERw8RyXm0Tnz6lVTFqqTS271jOH6O4oPjYumdaAdF9gmsgKSt2tit3gN/H1OvJlK4J5qECw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T14:51:11.529328Z"},"content_sha256":"7dd5b91f0611cc3ada0b74b992d0233e2ce54b939904e44e06108f5832d5d3fb","schema_version":"1.0","event_id":"sha256:7dd5b91f0611cc3ada0b74b992d0233e2ce54b939904e44e06108f5832d5d3fb"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/JZD6ZDABHSMHTFARAVCF6AA72P/bundle.json","state_url":"https://pith.science/pith/JZD6ZDABHSMHTFARAVCF6AA72P/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/JZD6ZDABHSMHTFARAVCF6AA72P/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-05-28T14:51:11Z","links":{"resolver":"https://pith.science/pith/JZD6ZDABHSMHTFARAVCF6AA72P","bundle":"https://pith.science/pith/JZD6ZDABHSMHTFARAVCF6AA72P/bundle.json","state":"https://pith.science/pith/JZD6ZDABHSMHTFARAVCF6AA72P/state.json","well_known_bundle":"https://pith.science/.well-known/pith/JZD6ZDABHSMHTFARAVCF6AA72P/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:JZD6ZDABHSMHTFARAVCF6AA72P","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":"aab3d5a9355f1ff54031f6ed66562038afb235f7e98db5412d43c0fc5cbc69a0","cross_cats_sorted":["math.GT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2014-01-20T21:27:11Z","title_canon_sha256":"533c1ac5254c0f152873d08b087156b0d5d4e414d8c7bd4997329b2931bd28b2"},"schema_version":"1.0","source":{"id":"1401.5095","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1401.5095","created_at":"2026-05-18T01:45:18Z"},{"alias_kind":"arxiv_version","alias_value":"1401.5095v3","created_at":"2026-05-18T01:45:18Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1401.5095","created_at":"2026-05-18T01:45:18Z"},{"alias_kind":"pith_short_12","alias_value":"JZD6ZDABHSMH","created_at":"2026-05-18T12:28:35Z"},{"alias_kind":"pith_short_16","alias_value":"JZD6ZDABHSMHTFAR","created_at":"2026-05-18T12:28:35Z"},{"alias_kind":"pith_short_8","alias_value":"JZD6ZDAB","created_at":"2026-05-18T12:28:35Z"}],"graph_snapshots":[{"event_id":"sha256:7dd5b91f0611cc3ada0b74b992d0233e2ce54b939904e44e06108f5832d5d3fb","target":"graph","created_at":"2026-05-18T01:45:18Z","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":"Using the duality between Wilson loop expectation values of SU(N) Chern-Simons theory on $S^3$ and topological open-string amplitudes on the local mirror of the resolved conifold, we study knots on $S^3$ and their invariants encoded in colored HOMFLY polynomials by means of topological recursion. In the context of the local mirror Calabi-Yau threefold of the resolved conifold, we generalize the topological recursion of the remodelled B-model in order to study branes beyond the class of toric Harvey-Lawson special Lagrangians -- as required for analyzing non-trivial knots on $S^3$. The basic in","authors_text":"Albrecht Klemm, Hans Jockers, Jie Gu, Masoud Soroush","cross_cats":["math.GT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2014-01-20T21:27:11Z","title":"Knot Invariants from Topological Recursion on Augmentation Varieties"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1401.5095","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":"sha256:302dcac9d2849db72f371a6a00a0b3e316a9010e355c72355dbf0a69b12a0b3f","target":"record","created_at":"2026-05-18T01:45:18Z","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":"aab3d5a9355f1ff54031f6ed66562038afb235f7e98db5412d43c0fc5cbc69a0","cross_cats_sorted":["math.GT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2014-01-20T21:27:11Z","title_canon_sha256":"533c1ac5254c0f152873d08b087156b0d5d4e414d8c7bd4997329b2931bd28b2"},"schema_version":"1.0","source":{"id":"1401.5095","kind":"arxiv","version":3}},"canonical_sha256":"4e47ec8c013c9879941105445f001fd3ed586615c8d12a017f4d442fe622a424","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4e47ec8c013c9879941105445f001fd3ed586615c8d12a017f4d442fe622a424","first_computed_at":"2026-05-18T01:45:18.675770Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:45:18.675770Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"pWH/MKcOWVQoQGgmp2IO5AgO/DESst2706CgfK4gC3PGyuZRyyfKX6nzusHqMTIatYWma3kzRB+LzePHKMt5Bg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:45:18.676431Z","signed_message":"canonical_sha256_bytes"},"source_id":"1401.5095","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:302dcac9d2849db72f371a6a00a0b3e316a9010e355c72355dbf0a69b12a0b3f","sha256:7dd5b91f0611cc3ada0b74b992d0233e2ce54b939904e44e06108f5832d5d3fb"],"state_sha256":"4afff733f2953757fd8f3276f65c22a5ba05290358810cfef4144bc32f3d4299"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"0gp/b5O32rU0tRJPgjUcLhmGABDNcjAa1wwNsd4XbCUD0alOCN8jz0nwLbw7LmqIb4V+kIlnx/VsDh6KYq3qAQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-28T14:51:11.531261Z","bundle_sha256":"a9980f7b8ba6576e5a76ff82a29493fd062e213d7f32124dda6c58aa307f4234"}}