{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2008:CGGQRGV7O4WMZ56NMNVHOCDSNW","short_pith_number":"pith:CGGQRGV7","schema_version":"1.0","canonical_sha256":"118d089abf772cccf7cd636a7708726d8707564bb9acb00e9ee1b64f95fd676c","source":{"kind":"arxiv","id":"0810.4174","version":3},"attestation_state":"computed","paper":{"title":"Correlators and Descendants of Subcritical Stein Manifolds","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.SG","authors_text":"Jian He","submitted_at":"2008-10-22T22:41:09Z","abstract_excerpt":"We determine contact homology algebra of a subcritical Stein-fillable contact manifold whose first Chern class vanishes. We also compute the genus-0 one point correlators and gravitational descendants of compactly supported closed forms of their subcritical Stein fillings. This is a step towards determining the full potential function of the filling as defined in \\cite{EliashbergGiventalHofer}. These invariants also give a canonical presentation of the cylindrical contact homology. With respect to this presentation, we determine the degree-2 differential in the Bourgeois--Oancea exact sequence"},"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":"0810.4174","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SG","submitted_at":"2008-10-22T22:41:09Z","cross_cats_sorted":[],"title_canon_sha256":"cbaed4a11b5a0bf1e662c3b204451e64a32cff9554373cf1bfe0a897de1f9b1e","abstract_canon_sha256":"0106745af9e63cd94b9954ff22e3a99001a22913f07d2d652a197d6d7d0d4d2c"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:50:11.247916Z","signature_b64":"PKoVvu2JGS/4phFK/EFuukcuoJye/gc6EraRbvRueOsOg6gUBqiM+fQP+rpxSMr8qXX6EZXkbWPTFSQRP7DTAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"118d089abf772cccf7cd636a7708726d8707564bb9acb00e9ee1b64f95fd676c","last_reissued_at":"2026-05-18T03:50:11.247143Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:50:11.247143Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Correlators and Descendants of Subcritical Stein Manifolds","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.SG","authors_text":"Jian He","submitted_at":"2008-10-22T22:41:09Z","abstract_excerpt":"We determine contact homology algebra of a subcritical Stein-fillable contact manifold whose first Chern class vanishes. We also compute the genus-0 one point correlators and gravitational descendants of compactly supported closed forms of their subcritical Stein fillings. This is a step towards determining the full potential function of the filling as defined in \\cite{EliashbergGiventalHofer}. These invariants also give a canonical presentation of the cylindrical contact homology. With respect to this presentation, we determine the degree-2 differential in the Bourgeois--Oancea exact sequence"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0810.4174","kind":"arxiv","version":3},"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":"0810.4174","created_at":"2026-05-18T03:50:11.247265+00:00"},{"alias_kind":"arxiv_version","alias_value":"0810.4174v3","created_at":"2026-05-18T03:50:11.247265+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0810.4174","created_at":"2026-05-18T03:50:11.247265+00:00"},{"alias_kind":"pith_short_12","alias_value":"CGGQRGV7O4WM","created_at":"2026-05-18T12:25:57.157939+00:00"},{"alias_kind":"pith_short_16","alias_value":"CGGQRGV7O4WMZ56N","created_at":"2026-05-18T12:25:57.157939+00:00"},{"alias_kind":"pith_short_8","alias_value":"CGGQRGV7","created_at":"2026-05-18T12:25:57.157939+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/CGGQRGV7O4WMZ56NMNVHOCDSNW","json":"https://pith.science/pith/CGGQRGV7O4WMZ56NMNVHOCDSNW.json","graph_json":"https://pith.science/api/pith-number/CGGQRGV7O4WMZ56NMNVHOCDSNW/graph.json","events_json":"https://pith.science/api/pith-number/CGGQRGV7O4WMZ56NMNVHOCDSNW/events.json","paper":"https://pith.science/paper/CGGQRGV7"},"agent_actions":{"view_html":"https://pith.science/pith/CGGQRGV7O4WMZ56NMNVHOCDSNW","download_json":"https://pith.science/pith/CGGQRGV7O4WMZ56NMNVHOCDSNW.json","view_paper":"https://pith.science/paper/CGGQRGV7","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=0810.4174&json=true","fetch_graph":"https://pith.science/api/pith-number/CGGQRGV7O4WMZ56NMNVHOCDSNW/graph.json","fetch_events":"https://pith.science/api/pith-number/CGGQRGV7O4WMZ56NMNVHOCDSNW/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/CGGQRGV7O4WMZ56NMNVHOCDSNW/action/timestamp_anchor","attest_storage":"https://pith.science/pith/CGGQRGV7O4WMZ56NMNVHOCDSNW/action/storage_attestation","attest_author":"https://pith.science/pith/CGGQRGV7O4WMZ56NMNVHOCDSNW/action/author_attestation","sign_citation":"https://pith.science/pith/CGGQRGV7O4WMZ56NMNVHOCDSNW/action/citation_signature","submit_replication":"https://pith.science/pith/CGGQRGV7O4WMZ56NMNVHOCDSNW/action/replication_record"}},"created_at":"2026-05-18T03:50:11.247265+00:00","updated_at":"2026-05-18T03:50:11.247265+00:00"}