{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:DLY5QWTTLCI73PRKQL4YU2U6JI","short_pith_number":"pith:DLY5QWTT","canonical_record":{"source":{"id":"1307.7909","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2013-07-30T11:14:39Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"e9005b8a298459e3bbc760ef0997be719e113b459bc5a163564a409d04831de0","abstract_canon_sha256":"97a1b0510dbe047128df03e67b85c0b078149df003c4ce3c344a28c26b879baa"},"schema_version":"1.0"},"canonical_sha256":"1af1d85a735891fdbe2a82f98a6a9e4a3e1a38bcb7af3300f55fa8e825963b9a","source":{"kind":"arxiv","id":"1307.7909","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1307.7909","created_at":"2026-05-18T02:38:17Z"},{"alias_kind":"arxiv_version","alias_value":"1307.7909v2","created_at":"2026-05-18T02:38:17Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1307.7909","created_at":"2026-05-18T02:38:17Z"},{"alias_kind":"pith_short_12","alias_value":"DLY5QWTTLCI7","created_at":"2026-05-18T12:27:43Z"},{"alias_kind":"pith_short_16","alias_value":"DLY5QWTTLCI73PRK","created_at":"2026-05-18T12:27:43Z"},{"alias_kind":"pith_short_8","alias_value":"DLY5QWTT","created_at":"2026-05-18T12:27:43Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:DLY5QWTTLCI73PRKQL4YU2U6JI","target":"record","payload":{"canonical_record":{"source":{"id":"1307.7909","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2013-07-30T11:14:39Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"e9005b8a298459e3bbc760ef0997be719e113b459bc5a163564a409d04831de0","abstract_canon_sha256":"97a1b0510dbe047128df03e67b85c0b078149df003c4ce3c344a28c26b879baa"},"schema_version":"1.0"},"canonical_sha256":"1af1d85a735891fdbe2a82f98a6a9e4a3e1a38bcb7af3300f55fa8e825963b9a","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:38:17.141282Z","signature_b64":"X9giaGjPJwy0GSpr0K6QbYZ4TNJgY0/OOTU+E2RddvNPktH4fxMSIbV3DeakmZOdJGTa4HsoRHhHHFLmIy2MCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1af1d85a735891fdbe2a82f98a6a9e4a3e1a38bcb7af3300f55fa8e825963b9a","last_reissued_at":"2026-05-18T02:38:17.140653Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:38:17.140653Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1307.7909","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:38:17Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"bQb0L81dPaC0+276ZWudbrZageGjiAdOv3aIVPdSBaVP0ZI8vbzkfIto4ELRbqvlohrYvzFEEkNV01FffLfLCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-07T17:53:21.930532Z"},"content_sha256":"210a4f77e66d9a3499974f05ce40d0e7f5ad4d621668ec80f84c858fbcd52cd2","schema_version":"1.0","event_id":"sha256:210a4f77e66d9a3499974f05ce40d0e7f5ad4d621668ec80f84c858fbcd52cd2"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:DLY5QWTTLCI73PRKQL4YU2U6JI","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On the Virasoro constraints for torus knots","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"hep-th","authors_text":"O. Dubinkin","submitted_at":"2013-07-30T11:14:39Z","abstract_excerpt":"We construct Virasoro algebra of differential operators for the Jones-Rosso matrix model. These operators generate various relations between Wilson loops. Then we discuss the con- structed operators and corresponding relations in the stability limit. A series of examples is given."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1307.7909","kind":"arxiv","version":2},"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":"2026-05-18T02:38:17Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"WkM7k/OPFaTFI8rHkRJo0TWGUGwvqYxpePhBIMtelQoiKDGZVpcY6/6Io2y46hJ+b/KQG0AYk38vTLQ13KJsDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-07T17:53:21.931214Z"},"content_sha256":"c364df146af296a9733bd0723de211ba2a625d40ae279273ef09e03889ed213e","schema_version":"1.0","event_id":"sha256:c364df146af296a9733bd0723de211ba2a625d40ae279273ef09e03889ed213e"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/DLY5QWTTLCI73PRKQL4YU2U6JI/bundle.json","state_url":"https://pith.science/pith/DLY5QWTTLCI73PRKQL4YU2U6JI/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/DLY5QWTTLCI73PRKQL4YU2U6JI/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":"2026-06-07T17:53:21Z","links":{"resolver":"https://pith.science/pith/DLY5QWTTLCI73PRKQL4YU2U6JI","bundle":"https://pith.science/pith/DLY5QWTTLCI73PRKQL4YU2U6JI/bundle.json","state":"https://pith.science/pith/DLY5QWTTLCI73PRKQL4YU2U6JI/state.json","well_known_bundle":"https://pith.science/.well-known/pith/DLY5QWTTLCI73PRKQL4YU2U6JI/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:DLY5QWTTLCI73PRKQL4YU2U6JI","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":"97a1b0510dbe047128df03e67b85c0b078149df003c4ce3c344a28c26b879baa","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2013-07-30T11:14:39Z","title_canon_sha256":"e9005b8a298459e3bbc760ef0997be719e113b459bc5a163564a409d04831de0"},"schema_version":"1.0","source":{"id":"1307.7909","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1307.7909","created_at":"2026-05-18T02:38:17Z"},{"alias_kind":"arxiv_version","alias_value":"1307.7909v2","created_at":"2026-05-18T02:38:17Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1307.7909","created_at":"2026-05-18T02:38:17Z"},{"alias_kind":"pith_short_12","alias_value":"DLY5QWTTLCI7","created_at":"2026-05-18T12:27:43Z"},{"alias_kind":"pith_short_16","alias_value":"DLY5QWTTLCI73PRK","created_at":"2026-05-18T12:27:43Z"},{"alias_kind":"pith_short_8","alias_value":"DLY5QWTT","created_at":"2026-05-18T12:27:43Z"}],"graph_snapshots":[{"event_id":"sha256:c364df146af296a9733bd0723de211ba2a625d40ae279273ef09e03889ed213e","target":"graph","created_at":"2026-05-18T02:38:17Z","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":"We construct Virasoro algebra of differential operators for the Jones-Rosso matrix model. These operators generate various relations between Wilson loops. Then we discuss the con- structed operators and corresponding relations in the stability limit. A series of examples is given.","authors_text":"O. Dubinkin","cross_cats":["math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2013-07-30T11:14:39Z","title":"On the Virasoro constraints for torus knots"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1307.7909","kind":"arxiv","version":2},"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":"sha256:210a4f77e66d9a3499974f05ce40d0e7f5ad4d621668ec80f84c858fbcd52cd2","target":"record","created_at":"2026-05-18T02:38:17Z","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":"97a1b0510dbe047128df03e67b85c0b078149df003c4ce3c344a28c26b879baa","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2013-07-30T11:14:39Z","title_canon_sha256":"e9005b8a298459e3bbc760ef0997be719e113b459bc5a163564a409d04831de0"},"schema_version":"1.0","source":{"id":"1307.7909","kind":"arxiv","version":2}},"canonical_sha256":"1af1d85a735891fdbe2a82f98a6a9e4a3e1a38bcb7af3300f55fa8e825963b9a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1af1d85a735891fdbe2a82f98a6a9e4a3e1a38bcb7af3300f55fa8e825963b9a","first_computed_at":"2026-05-18T02:38:17.140653Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:38:17.140653Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"X9giaGjPJwy0GSpr0K6QbYZ4TNJgY0/OOTU+E2RddvNPktH4fxMSIbV3DeakmZOdJGTa4HsoRHhHHFLmIy2MCw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:38:17.141282Z","signed_message":"canonical_sha256_bytes"},"source_id":"1307.7909","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:210a4f77e66d9a3499974f05ce40d0e7f5ad4d621668ec80f84c858fbcd52cd2","sha256:c364df146af296a9733bd0723de211ba2a625d40ae279273ef09e03889ed213e"],"state_sha256":"b54977f78097d0471cb9a9e06afc7920bf5ed9771e8eb56593bdbaa785ebf62c"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"M8fFZbP6o2n0H8SOFLguioJzlenMqD70/cTQYopFVmw//FVfEuluDTRRzTqHuS24dlXm0go2hlqmLwiC/7QTCQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-07T17:53:21.935021Z","bundle_sha256":"fde7baef2a49f822fc4880f7dbb6c9403fb7b44ec830fbde66256f30b4de8de0"}}