{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:XE3FQVVRO3AFXJOD276VU3MSXO","short_pith_number":"pith:XE3FQVVR","canonical_record":{"source":{"id":"1411.7108","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2014-11-26T04:40:36Z","cross_cats_sorted":[],"title_canon_sha256":"248316d2b517e022bef4d069af718ecd0231b153d9bcf437a04491ff402d96b6","abstract_canon_sha256":"06ed312b4d08000369b5d74efbaf150728a597749ae2fd76a19e19593e517125"},"schema_version":"1.0"},"canonical_sha256":"b9365856b176c05ba5c3d7fd5a6d92bb9c969149e5a503db4a6e3e9d4846f841","source":{"kind":"arxiv","id":"1411.7108","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1411.7108","created_at":"2026-05-18T02:29:45Z"},{"alias_kind":"arxiv_version","alias_value":"1411.7108v2","created_at":"2026-05-18T02:29:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1411.7108","created_at":"2026-05-18T02:29:45Z"},{"alias_kind":"pith_short_12","alias_value":"XE3FQVVRO3AF","created_at":"2026-05-18T12:28:57Z"},{"alias_kind":"pith_short_16","alias_value":"XE3FQVVRO3AFXJOD","created_at":"2026-05-18T12:28:57Z"},{"alias_kind":"pith_short_8","alias_value":"XE3FQVVR","created_at":"2026-05-18T12:28:57Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:XE3FQVVRO3AFXJOD276VU3MSXO","target":"record","payload":{"canonical_record":{"source":{"id":"1411.7108","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2014-11-26T04:40:36Z","cross_cats_sorted":[],"title_canon_sha256":"248316d2b517e022bef4d069af718ecd0231b153d9bcf437a04491ff402d96b6","abstract_canon_sha256":"06ed312b4d08000369b5d74efbaf150728a597749ae2fd76a19e19593e517125"},"schema_version":"1.0"},"canonical_sha256":"b9365856b176c05ba5c3d7fd5a6d92bb9c969149e5a503db4a6e3e9d4846f841","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:29:45.226285Z","signature_b64":"d3qJEQs6DQud3TJUHW8+UVxrBsovAbkKlmY1PRauJGVARj2Yp3rLUnY3g5026xTexXifhKgTmGKEw7ErJWIPAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b9365856b176c05ba5c3d7fd5a6d92bb9c969149e5a503db4a6e3e9d4846f841","last_reissued_at":"2026-05-18T02:29:45.225878Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:29:45.225878Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1411.7108","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":"2026-05-18T02:29:45Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"SkfNy8xPnY2dRdSEL1Y0XB8CkNZE2IZDbZCFQI4u3giBdCpZOiZebTxaEmpeaBIQaE7ddyjYqPyVHL4v7PruDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-19T13:29:37.519684Z"},"content_sha256":"18c7b389b4efaf3dafdcc7f4306a60f908e2d71960ef07dec05d2eb454a3f6ac","schema_version":"1.0","event_id":"sha256:18c7b389b4efaf3dafdcc7f4306a60f908e2d71960ef07dec05d2eb454a3f6ac"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:XE3FQVVRO3AFXJOD276VU3MSXO","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Some Details On The Gopakumar-Vafa and Ooguri-Vafa Formulas","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Edward Witten, Mykola Dedushenko","submitted_at":"2014-11-26T04:40:36Z","abstract_excerpt":"The Gopakumar-Vafa (GV) formula expresses certain couplings that arise in Type IIA compactification to four dimensions on a Calabi-Yau manifold in terms of a counting of BPS states in M-theory. The couplings in question have applications to topological strings and supersymmetric black holes. In this paper, we reconsider the GV formula, taking a close look at the Schwinger-like computation that was suggested in the original GV work. The goal is to understand the background that must be used in this computation, the role played by the extended supersymmetry of this background, and how the comput"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1411.7108","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":"2026-05-18T02:29:45Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"HH1yCFEWHO2OgL2yG4crVvvUZj4+jjLTADPkgEnk1l57fZt/OPs/A9XUd584g/Am0NrwjBLYTITQ1QCBYY5hCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-19T13:29:37.520033Z"},"content_sha256":"609a7e6ea23bba65448813a5cf680d696a245c445add200d71676ac028c87f7c","schema_version":"1.0","event_id":"sha256:609a7e6ea23bba65448813a5cf680d696a245c445add200d71676ac028c87f7c"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/XE3FQVVRO3AFXJOD276VU3MSXO/bundle.json","state_url":"https://pith.science/pith/XE3FQVVRO3AFXJOD276VU3MSXO/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/XE3FQVVRO3AFXJOD276VU3MSXO/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":"2026-05-19T13:29:37Z","links":{"resolver":"https://pith.science/pith/XE3FQVVRO3AFXJOD276VU3MSXO","bundle":"https://pith.science/pith/XE3FQVVRO3AFXJOD276VU3MSXO/bundle.json","state":"https://pith.science/pith/XE3FQVVRO3AFXJOD276VU3MSXO/state.json","well_known_bundle":"https://pith.science/.well-known/pith/XE3FQVVRO3AFXJOD276VU3MSXO/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:XE3FQVVRO3AFXJOD276VU3MSXO","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":"06ed312b4d08000369b5d74efbaf150728a597749ae2fd76a19e19593e517125","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2014-11-26T04:40:36Z","title_canon_sha256":"248316d2b517e022bef4d069af718ecd0231b153d9bcf437a04491ff402d96b6"},"schema_version":"1.0","source":{"id":"1411.7108","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1411.7108","created_at":"2026-05-18T02:29:45Z"},{"alias_kind":"arxiv_version","alias_value":"1411.7108v2","created_at":"2026-05-18T02:29:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1411.7108","created_at":"2026-05-18T02:29:45Z"},{"alias_kind":"pith_short_12","alias_value":"XE3FQVVRO3AF","created_at":"2026-05-18T12:28:57Z"},{"alias_kind":"pith_short_16","alias_value":"XE3FQVVRO3AFXJOD","created_at":"2026-05-18T12:28:57Z"},{"alias_kind":"pith_short_8","alias_value":"XE3FQVVR","created_at":"2026-05-18T12:28:57Z"}],"graph_snapshots":[{"event_id":"sha256:609a7e6ea23bba65448813a5cf680d696a245c445add200d71676ac028c87f7c","target":"graph","created_at":"2026-05-18T02:29:45Z","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"},"paper":{"abstract_excerpt":"The Gopakumar-Vafa (GV) formula expresses certain couplings that arise in Type IIA compactification to four dimensions on a Calabi-Yau manifold in terms of a counting of BPS states in M-theory. The couplings in question have applications to topological strings and supersymmetric black holes. In this paper, we reconsider the GV formula, taking a close look at the Schwinger-like computation that was suggested in the original GV work. The goal is to understand the background that must be used in this computation, the role played by the extended supersymmetry of this background, and how the comput","authors_text":"Edward Witten, Mykola Dedushenko","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2014-11-26T04:40:36Z","title":"Some Details On The Gopakumar-Vafa and Ooguri-Vafa Formulas"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1411.7108","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":"sha256:18c7b389b4efaf3dafdcc7f4306a60f908e2d71960ef07dec05d2eb454a3f6ac","target":"record","created_at":"2026-05-18T02:29:45Z","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":"06ed312b4d08000369b5d74efbaf150728a597749ae2fd76a19e19593e517125","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2014-11-26T04:40:36Z","title_canon_sha256":"248316d2b517e022bef4d069af718ecd0231b153d9bcf437a04491ff402d96b6"},"schema_version":"1.0","source":{"id":"1411.7108","kind":"arxiv","version":2}},"canonical_sha256":"b9365856b176c05ba5c3d7fd5a6d92bb9c969149e5a503db4a6e3e9d4846f841","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b9365856b176c05ba5c3d7fd5a6d92bb9c969149e5a503db4a6e3e9d4846f841","first_computed_at":"2026-05-18T02:29:45.225878Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:29:45.225878Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"d3qJEQs6DQud3TJUHW8+UVxrBsovAbkKlmY1PRauJGVARj2Yp3rLUnY3g5026xTexXifhKgTmGKEw7ErJWIPAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:29:45.226285Z","signed_message":"canonical_sha256_bytes"},"source_id":"1411.7108","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:18c7b389b4efaf3dafdcc7f4306a60f908e2d71960ef07dec05d2eb454a3f6ac","sha256:609a7e6ea23bba65448813a5cf680d696a245c445add200d71676ac028c87f7c"],"state_sha256":"54e01931f11c8b336f9b8b9c7f443434a0fe638e576888c0cde98fd7864fe95a"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"hdmBBF2ctenVeldrXhPyAru16wG3ST/pNHrT7E7anL2B0b/52mopecEQwnXcVwsqqxJf9iDQuFWcigGbMfB3DA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-19T13:29:37.521790Z","bundle_sha256":"bc77396daf5815a966ae9f72da9f2a6bb4b784122d27a0e979087528cbe658b4"}}