{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:GQURO53Y3QA2JHJMBECJGHGPMC","short_pith_number":"pith:GQURO53Y","canonical_record":{"source":{"id":"1706.00761","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2017-06-02T17:16:19Z","cross_cats_sorted":[],"title_canon_sha256":"a9cec60b294833f1cfaa5a6d2e1bb106b39d4915a223ab9d06de7d074b8c8dfc","abstract_canon_sha256":"9650e78378409a9fb36d573cd6cf395b2d7692f8f5f0287dfdb48dca7bc6b664"},"schema_version":"1.0"},"canonical_sha256":"3429177778dc01a49d2c0904931ccf60802440d519bc6b1a48aebe0d802a8c84","source":{"kind":"arxiv","id":"1706.00761","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1706.00761","created_at":"2026-05-18T00:35:13Z"},{"alias_kind":"arxiv_version","alias_value":"1706.00761v1","created_at":"2026-05-18T00:35:13Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1706.00761","created_at":"2026-05-18T00:35:13Z"},{"alias_kind":"pith_short_12","alias_value":"GQURO53Y3QA2","created_at":"2026-05-18T12:31:18Z"},{"alias_kind":"pith_short_16","alias_value":"GQURO53Y3QA2JHJM","created_at":"2026-05-18T12:31:18Z"},{"alias_kind":"pith_short_8","alias_value":"GQURO53Y","created_at":"2026-05-18T12:31:18Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:GQURO53Y3QA2JHJMBECJGHGPMC","target":"record","payload":{"canonical_record":{"source":{"id":"1706.00761","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2017-06-02T17:16:19Z","cross_cats_sorted":[],"title_canon_sha256":"a9cec60b294833f1cfaa5a6d2e1bb106b39d4915a223ab9d06de7d074b8c8dfc","abstract_canon_sha256":"9650e78378409a9fb36d573cd6cf395b2d7692f8f5f0287dfdb48dca7bc6b664"},"schema_version":"1.0"},"canonical_sha256":"3429177778dc01a49d2c0904931ccf60802440d519bc6b1a48aebe0d802a8c84","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:35:13.672911Z","signature_b64":"Qa1Vjek3DfyeV+20Ilk4j6/whkpJE+5IssM1QFt0hLEN+TfQBYFkuuxDberBcbw/Ih/AlP0mndckLutEubtmDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3429177778dc01a49d2c0904931ccf60802440d519bc6b1a48aebe0d802a8c84","last_reissued_at":"2026-05-18T00:35:13.672358Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:35:13.672358Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1706.00761","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:35:13Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ngtT8CgKRBtsweh6q7u6Z/RQ1zWZOqFZJAEMjl6pjo1MK3MZu0AT8/RP5XafhFbiWYGDNkWPRayGjFmz44UjBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T02:42:01.925447Z"},"content_sha256":"d7ddebb44d9d9fa3097a6b435c4bda434ad97d2739bc5d9ff9b39274d6d71604","schema_version":"1.0","event_id":"sha256:d7ddebb44d9d9fa3097a6b435c4bda434ad97d2739bc5d9ff9b39274d6d71604"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:GQURO53Y3QA2JHJMBECJGHGPMC","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Gaussian distribution of LMOV numbers","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"A. Mironov, A. Morozov, An. Morozov, A. Sleptsov","submitted_at":"2017-06-02T17:16:19Z","abstract_excerpt":"Recent advances in knot polynomial calculus allowed us to obtain a huge variety of LMOV integers counting degeneracy of the BPS spectrum of topological theories on the resolved conifold and appearing in the genus expansion of the plethystic logarithm of the Ooguri-Vafa partition functions. Already the very first look at this data reveals that the LMOV numbers are randomly distributed in genus (!) and are very well parameterized by just three parameters depending on the representation, an integer and the knot. We present an accurate formulation and evidence in support of this new puzzling obser"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1706.00761","kind":"arxiv","version":1},"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":"2026-05-18T00:35:13Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"R83e0KevQtEbWTRqTf2PXHMzQsO7/2gl5djLlnRoSlmDfZjQq87RL5tcGDgNuc4UXUXLNEXnTB6wE5xJ7DS8DQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T02:42:01.925887Z"},"content_sha256":"4df0c25d5f02a4bdda957164a943e23787b9cf8fb5803f59a1f8d60ddf1cb7e8","schema_version":"1.0","event_id":"sha256:4df0c25d5f02a4bdda957164a943e23787b9cf8fb5803f59a1f8d60ddf1cb7e8"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/GQURO53Y3QA2JHJMBECJGHGPMC/bundle.json","state_url":"https://pith.science/pith/GQURO53Y3QA2JHJMBECJGHGPMC/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/GQURO53Y3QA2JHJMBECJGHGPMC/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":"2026-05-27T02:42:01Z","links":{"resolver":"https://pith.science/pith/GQURO53Y3QA2JHJMBECJGHGPMC","bundle":"https://pith.science/pith/GQURO53Y3QA2JHJMBECJGHGPMC/bundle.json","state":"https://pith.science/pith/GQURO53Y3QA2JHJMBECJGHGPMC/state.json","well_known_bundle":"https://pith.science/.well-known/pith/GQURO53Y3QA2JHJMBECJGHGPMC/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:GQURO53Y3QA2JHJMBECJGHGPMC","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":"9650e78378409a9fb36d573cd6cf395b2d7692f8f5f0287dfdb48dca7bc6b664","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2017-06-02T17:16:19Z","title_canon_sha256":"a9cec60b294833f1cfaa5a6d2e1bb106b39d4915a223ab9d06de7d074b8c8dfc"},"schema_version":"1.0","source":{"id":"1706.00761","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1706.00761","created_at":"2026-05-18T00:35:13Z"},{"alias_kind":"arxiv_version","alias_value":"1706.00761v1","created_at":"2026-05-18T00:35:13Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1706.00761","created_at":"2026-05-18T00:35:13Z"},{"alias_kind":"pith_short_12","alias_value":"GQURO53Y3QA2","created_at":"2026-05-18T12:31:18Z"},{"alias_kind":"pith_short_16","alias_value":"GQURO53Y3QA2JHJM","created_at":"2026-05-18T12:31:18Z"},{"alias_kind":"pith_short_8","alias_value":"GQURO53Y","created_at":"2026-05-18T12:31:18Z"}],"graph_snapshots":[{"event_id":"sha256:4df0c25d5f02a4bdda957164a943e23787b9cf8fb5803f59a1f8d60ddf1cb7e8","target":"graph","created_at":"2026-05-18T00:35:13Z","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":"Recent advances in knot polynomial calculus allowed us to obtain a huge variety of LMOV integers counting degeneracy of the BPS spectrum of topological theories on the resolved conifold and appearing in the genus expansion of the plethystic logarithm of the Ooguri-Vafa partition functions. Already the very first look at this data reveals that the LMOV numbers are randomly distributed in genus (!) and are very well parameterized by just three parameters depending on the representation, an integer and the knot. We present an accurate formulation and evidence in support of this new puzzling obser","authors_text":"A. Mironov, A. Morozov, An. Morozov, A. Sleptsov","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2017-06-02T17:16:19Z","title":"Gaussian distribution of LMOV numbers"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1706.00761","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:d7ddebb44d9d9fa3097a6b435c4bda434ad97d2739bc5d9ff9b39274d6d71604","target":"record","created_at":"2026-05-18T00:35:13Z","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":"9650e78378409a9fb36d573cd6cf395b2d7692f8f5f0287dfdb48dca7bc6b664","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2017-06-02T17:16:19Z","title_canon_sha256":"a9cec60b294833f1cfaa5a6d2e1bb106b39d4915a223ab9d06de7d074b8c8dfc"},"schema_version":"1.0","source":{"id":"1706.00761","kind":"arxiv","version":1}},"canonical_sha256":"3429177778dc01a49d2c0904931ccf60802440d519bc6b1a48aebe0d802a8c84","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3429177778dc01a49d2c0904931ccf60802440d519bc6b1a48aebe0d802a8c84","first_computed_at":"2026-05-18T00:35:13.672358Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:35:13.672358Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Qa1Vjek3DfyeV+20Ilk4j6/whkpJE+5IssM1QFt0hLEN+TfQBYFkuuxDberBcbw/Ih/AlP0mndckLutEubtmDA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:35:13.672911Z","signed_message":"canonical_sha256_bytes"},"source_id":"1706.00761","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d7ddebb44d9d9fa3097a6b435c4bda434ad97d2739bc5d9ff9b39274d6d71604","sha256:4df0c25d5f02a4bdda957164a943e23787b9cf8fb5803f59a1f8d60ddf1cb7e8"],"state_sha256":"2220d3e2c1baf15d8587b7f22b49f2f85bf99d30a7bbf3435e75b898d5544a0f"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"WCn0mrNds1a+h3NJOSLsZJDgOxY1By4/J225qxwhtKto2hPP0KXbHspKvcgAA1xhcK2g8hAP9VHTMiDkN9jrDw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-27T02:42:01.929706Z","bundle_sha256":"f6c2fb2b70ce1d2fb2e974e9d206d6a7817287664eb2196760d359dd230ddf15"}}