{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:L4PLBUKPPQWVI4N5MPT6DPO3PX","short_pith_number":"pith:L4PLBUKP","schema_version":"1.0","canonical_sha256":"5f1eb0d14f7c2d5471bd63e7e1bddb7dd5abac1e17690b2f27ad52413e156ecd","source":{"kind":"arxiv","id":"1407.4821","version":2},"attestation_state":"computed","paper":{"title":"Resurgent Transseries and the Holomorphic Anomaly: Nonperturbative Closed Strings in Local CP2","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.AG","math.MP"],"primary_cat":"hep-th","authors_text":"Jose D. Edelstein, Marcel Vonk, Ricardo Couso-Santamar\\'ia, Ricardo Schiappa","submitted_at":"2014-07-17T20:15:41Z","abstract_excerpt":"The holomorphic anomaly equations describe B-model closed topological strings in Calabi-Yau geometries. Having been used to construct perturbative expansions, it was recently shown that they can also be extended past perturbation theory by making use of resurgent transseries. These yield formal nonperturbative solutions, showing integrability of the holomorphic anomaly equations at the nonperturbative level. This paper takes such constructions one step further by working out in great detail the specific example of topological strings in the mirror of the local CP2 toric Calabi-Yau background, "},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1407.4821","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2014-07-17T20:15:41Z","cross_cats_sorted":["math-ph","math.AG","math.MP"],"title_canon_sha256":"0b6bb9afc541ca61aa25733fd80ed31a37a046aac6a55b416f3920db6936285a","abstract_canon_sha256":"bd43d040e99a828243950a20cce9d56cc59d07fdc5ae96fedb3fd079ca693233"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:55:08.481053Z","signature_b64":"v84WWVMLB4vSf9IdPKRFQHVEM1h0ch+7AMioyxr5HldVRKPdT6Qgm6YXV/2nkeMDzd/DB1ocd4fLDzVCoWQDDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5f1eb0d14f7c2d5471bd63e7e1bddb7dd5abac1e17690b2f27ad52413e156ecd","last_reissued_at":"2026-05-18T01:55:08.480589Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:55:08.480589Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Resurgent Transseries and the Holomorphic Anomaly: Nonperturbative Closed Strings in Local CP2","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.AG","math.MP"],"primary_cat":"hep-th","authors_text":"Jose D. Edelstein, Marcel Vonk, Ricardo Couso-Santamar\\'ia, Ricardo Schiappa","submitted_at":"2014-07-17T20:15:41Z","abstract_excerpt":"The holomorphic anomaly equations describe B-model closed topological strings in Calabi-Yau geometries. Having been used to construct perturbative expansions, it was recently shown that they can also be extended past perturbation theory by making use of resurgent transseries. These yield formal nonperturbative solutions, showing integrability of the holomorphic anomaly equations at the nonperturbative level. This paper takes such constructions one step further by working out in great detail the specific example of topological strings in the mirror of the local CP2 toric Calabi-Yau background, "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1407.4821","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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1407.4821","created_at":"2026-05-18T01:55:08.480665+00:00"},{"alias_kind":"arxiv_version","alias_value":"1407.4821v2","created_at":"2026-05-18T01:55:08.480665+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1407.4821","created_at":"2026-05-18T01:55:08.480665+00:00"},{"alias_kind":"pith_short_12","alias_value":"L4PLBUKPPQWV","created_at":"2026-05-18T12:28:35.611951+00:00"},{"alias_kind":"pith_short_16","alias_value":"L4PLBUKPPQWVI4N5","created_at":"2026-05-18T12:28:35.611951+00:00"},{"alias_kind":"pith_short_8","alias_value":"L4PLBUKP","created_at":"2026-05-18T12:28:35.611951+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":6,"internal_anchor_count":5,"sample":[{"citing_arxiv_id":"2301.05214","citing_title":"All the D-Branes of Resurgence","ref_index":118,"is_internal_anchor":true},{"citing_arxiv_id":"2309.12046","citing_title":"Non-Perturbative Real Topological Strings","ref_index":28,"is_internal_anchor":true},{"citing_arxiv_id":"2406.17852","citing_title":"Non-perturbative topological strings from resurgence","ref_index":9,"is_internal_anchor":true},{"citing_arxiv_id":"2512.17599","citing_title":"Les Houches Lectures on Exact WKB Analysis and Painlev\\'e Equations","ref_index":41,"is_internal_anchor":true},{"citing_arxiv_id":"2604.19731","citing_title":"The non-perturbative topological string: from resurgence to wall-crossing of DT invariants","ref_index":12,"is_internal_anchor":true},{"citing_arxiv_id":"2604.19731","citing_title":"The non-perturbative topological string: from resurgence to wall-crossing of DT invariants","ref_index":12,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/L4PLBUKPPQWVI4N5MPT6DPO3PX","json":"https://pith.science/pith/L4PLBUKPPQWVI4N5MPT6DPO3PX.json","graph_json":"https://pith.science/api/pith-number/L4PLBUKPPQWVI4N5MPT6DPO3PX/graph.json","events_json":"https://pith.science/api/pith-number/L4PLBUKPPQWVI4N5MPT6DPO3PX/events.json","paper":"https://pith.science/paper/L4PLBUKP"},"agent_actions":{"view_html":"https://pith.science/pith/L4PLBUKPPQWVI4N5MPT6DPO3PX","download_json":"https://pith.science/pith/L4PLBUKPPQWVI4N5MPT6DPO3PX.json","view_paper":"https://pith.science/paper/L4PLBUKP","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1407.4821&json=true","fetch_graph":"https://pith.science/api/pith-number/L4PLBUKPPQWVI4N5MPT6DPO3PX/graph.json","fetch_events":"https://pith.science/api/pith-number/L4PLBUKPPQWVI4N5MPT6DPO3PX/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/L4PLBUKPPQWVI4N5MPT6DPO3PX/action/timestamp_anchor","attest_storage":"https://pith.science/pith/L4PLBUKPPQWVI4N5MPT6DPO3PX/action/storage_attestation","attest_author":"https://pith.science/pith/L4PLBUKPPQWVI4N5MPT6DPO3PX/action/author_attestation","sign_citation":"https://pith.science/pith/L4PLBUKPPQWVI4N5MPT6DPO3PX/action/citation_signature","submit_replication":"https://pith.science/pith/L4PLBUKPPQWVI4N5MPT6DPO3PX/action/replication_record"}},"created_at":"2026-05-18T01:55:08.480665+00:00","updated_at":"2026-05-18T01:55:08.480665+00:00"}