{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:T23ZI3PJCRV4JFYW5C4L46NGBM","short_pith_number":"pith:T23ZI3PJ","canonical_record":{"source":{"id":"1211.4021","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2012-11-16T20:53:50Z","cross_cats_sorted":["hep-th","math.AG","math.MP"],"title_canon_sha256":"d0362dad8ec6a2377dacca6df061daab73d1608716128ad4f6300cc694633fe9","abstract_canon_sha256":"1be9303c56eb9d4e7693b7b2cba22efebda58e149c8612929fa15a5724e2bc78"},"schema_version":"1.0"},"canonical_sha256":"9eb7946de9146bc49716e8b8be79a60b279b88ef1e00c86170362c1e520e4f2b","source":{"kind":"arxiv","id":"1211.4021","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1211.4021","created_at":"2026-05-18T02:32:06Z"},{"alias_kind":"arxiv_version","alias_value":"1211.4021v1","created_at":"2026-05-18T02:32:06Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1211.4021","created_at":"2026-05-18T02:32:06Z"},{"alias_kind":"pith_short_12","alias_value":"T23ZI3PJCRV4","created_at":"2026-05-18T12:27:23Z"},{"alias_kind":"pith_short_16","alias_value":"T23ZI3PJCRV4JFYW","created_at":"2026-05-18T12:27:23Z"},{"alias_kind":"pith_short_8","alias_value":"T23ZI3PJ","created_at":"2026-05-18T12:27:23Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:T23ZI3PJCRV4JFYW5C4L46NGBM","target":"record","payload":{"canonical_record":{"source":{"id":"1211.4021","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2012-11-16T20:53:50Z","cross_cats_sorted":["hep-th","math.AG","math.MP"],"title_canon_sha256":"d0362dad8ec6a2377dacca6df061daab73d1608716128ad4f6300cc694633fe9","abstract_canon_sha256":"1be9303c56eb9d4e7693b7b2cba22efebda58e149c8612929fa15a5724e2bc78"},"schema_version":"1.0"},"canonical_sha256":"9eb7946de9146bc49716e8b8be79a60b279b88ef1e00c86170362c1e520e4f2b","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:32:06.361552Z","signature_b64":"kTFTaUFtDpXjrfRs2x80zrpcV5xWvPIbZs39EFfC1Bm2SUbkwKWwSvXoCiv7LtBvST3ZhJXM9BC7O1+vAQtrAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"9eb7946de9146bc49716e8b8be79a60b279b88ef1e00c86170362c1e520e4f2b","last_reissued_at":"2026-05-18T02:32:06.361168Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:32:06.361168Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1211.4021","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":"2026-05-18T02:32:06Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"dWceGJ9lCs1ror/2Fl+nTAZCvwHCkyvznTt6v7NZa7ea/XUG6j+kSQnzcolnN8GiJWUwQA41sCxYMhqeu6S3CA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-26T15:47:07.768353Z"},"content_sha256":"a36d16074b5e1d25e3ccc8ea614c7085c86fd4191c6725a8d30958758093ecf1","schema_version":"1.0","event_id":"sha256:a36d16074b5e1d25e3ccc8ea614c7085c86fd4191c6725a8d30958758093ecf1"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:T23ZI3PJCRV4JFYW5C4L46NGBM","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Identification of the Givental formula with the spectral curve topological recursion procedure","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th","math.AG","math.MP"],"primary_cat":"math-ph","authors_text":"L. Spitz, N. Orantin, P. Dunin-Barkowski, S. Shadrin","submitted_at":"2012-11-16T20:53:50Z","abstract_excerpt":"We identify the Givental formula for the ancestor formal Gromov-Witten potential with a version of the topological recursion procedure for a collection of isolated local germs of the spectral curve. As an application we prove a conjecture of Norbury and Scott on the reconstruction of the stationary sector of the Gromov-Witten potential of $\\CP1$ via a particular spectral curve."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1211.4021","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":"2026-05-18T02:32:06Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ZCAAIqcH91L3II2rf4mlbyyZKhOZnp6p0zs8QPzcxZHpBpTZFXv9opY5rPxL38RyxG3WfaHvsba7OqLGXyg5AA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-26T15:47:07.768710Z"},"content_sha256":"5075ebbbed7780b0d848e3f749b74fb7df3c13f400fd466666a050bb04d1bf49","schema_version":"1.0","event_id":"sha256:5075ebbbed7780b0d848e3f749b74fb7df3c13f400fd466666a050bb04d1bf49"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/T23ZI3PJCRV4JFYW5C4L46NGBM/bundle.json","state_url":"https://pith.science/pith/T23ZI3PJCRV4JFYW5C4L46NGBM/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/T23ZI3PJCRV4JFYW5C4L46NGBM/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":"2026-06-26T15:47:07Z","links":{"resolver":"https://pith.science/pith/T23ZI3PJCRV4JFYW5C4L46NGBM","bundle":"https://pith.science/pith/T23ZI3PJCRV4JFYW5C4L46NGBM/bundle.json","state":"https://pith.science/pith/T23ZI3PJCRV4JFYW5C4L46NGBM/state.json","well_known_bundle":"https://pith.science/.well-known/pith/T23ZI3PJCRV4JFYW5C4L46NGBM/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:T23ZI3PJCRV4JFYW5C4L46NGBM","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":"1be9303c56eb9d4e7693b7b2cba22efebda58e149c8612929fa15a5724e2bc78","cross_cats_sorted":["hep-th","math.AG","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2012-11-16T20:53:50Z","title_canon_sha256":"d0362dad8ec6a2377dacca6df061daab73d1608716128ad4f6300cc694633fe9"},"schema_version":"1.0","source":{"id":"1211.4021","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1211.4021","created_at":"2026-05-18T02:32:06Z"},{"alias_kind":"arxiv_version","alias_value":"1211.4021v1","created_at":"2026-05-18T02:32:06Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1211.4021","created_at":"2026-05-18T02:32:06Z"},{"alias_kind":"pith_short_12","alias_value":"T23ZI3PJCRV4","created_at":"2026-05-18T12:27:23Z"},{"alias_kind":"pith_short_16","alias_value":"T23ZI3PJCRV4JFYW","created_at":"2026-05-18T12:27:23Z"},{"alias_kind":"pith_short_8","alias_value":"T23ZI3PJ","created_at":"2026-05-18T12:27:23Z"}],"graph_snapshots":[{"event_id":"sha256:5075ebbbed7780b0d848e3f749b74fb7df3c13f400fd466666a050bb04d1bf49","target":"graph","created_at":"2026-05-18T02:32:06Z","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 identify the Givental formula for the ancestor formal Gromov-Witten potential with a version of the topological recursion procedure for a collection of isolated local germs of the spectral curve. As an application we prove a conjecture of Norbury and Scott on the reconstruction of the stationary sector of the Gromov-Witten potential of $\\CP1$ via a particular spectral curve.","authors_text":"L. Spitz, N. Orantin, P. Dunin-Barkowski, S. Shadrin","cross_cats":["hep-th","math.AG","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2012-11-16T20:53:50Z","title":"Identification of the Givental formula with the spectral curve topological recursion procedure"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1211.4021","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:a36d16074b5e1d25e3ccc8ea614c7085c86fd4191c6725a8d30958758093ecf1","target":"record","created_at":"2026-05-18T02:32:06Z","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":"1be9303c56eb9d4e7693b7b2cba22efebda58e149c8612929fa15a5724e2bc78","cross_cats_sorted":["hep-th","math.AG","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2012-11-16T20:53:50Z","title_canon_sha256":"d0362dad8ec6a2377dacca6df061daab73d1608716128ad4f6300cc694633fe9"},"schema_version":"1.0","source":{"id":"1211.4021","kind":"arxiv","version":1}},"canonical_sha256":"9eb7946de9146bc49716e8b8be79a60b279b88ef1e00c86170362c1e520e4f2b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9eb7946de9146bc49716e8b8be79a60b279b88ef1e00c86170362c1e520e4f2b","first_computed_at":"2026-05-18T02:32:06.361168Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:32:06.361168Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"kTFTaUFtDpXjrfRs2x80zrpcV5xWvPIbZs39EFfC1Bm2SUbkwKWwSvXoCiv7LtBvST3ZhJXM9BC7O1+vAQtrAA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:32:06.361552Z","signed_message":"canonical_sha256_bytes"},"source_id":"1211.4021","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a36d16074b5e1d25e3ccc8ea614c7085c86fd4191c6725a8d30958758093ecf1","sha256:5075ebbbed7780b0d848e3f749b74fb7df3c13f400fd466666a050bb04d1bf49"],"state_sha256":"81aa20ea432cac6027bd370d66874aded6f88a3b64fd9f15ee68a75154895422"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"iiv4ylDzPAbmqTnR/8HdZCm2yDDL6Sjt9AhbcETFm9jaAvjv9lPGCJniTao9PgkpqK22hkyJdHIYdjPXrgyUAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-26T15:47:07.770683Z","bundle_sha256":"44e2a3ad0e230a602eed1d496bc3c5d66c2b64235f64acb19adfe17ab8b67364"}}