{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2009:47NNYC7GU7G6ODJ7VMNCIDA5KG","short_pith_number":"pith:47NNYC7G","schema_version":"1.0","canonical_sha256":"e7dadc0be6a7cde70d3fab1a240c1d51ab3f8066bac9107750dcfa80d49b3a9a","source":{"kind":"arxiv","id":"0909.4899","version":3},"attestation_state":"computed","paper":{"title":"Deformations and transversality of pseudo-holomorphic discs","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.SG"],"primary_cat":"math.CV","authors_text":"A. Sukhov, A. Tumanov","submitted_at":"2009-09-26T22:11:46Z","abstract_excerpt":"We prove analogs of Thom's transversality theorem and Whitney's theorem on immersions for pseudo-holomorphic discs. We also prove that pseudo-holomorphic discs form a manifold."},"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":"0909.4899","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2009-09-26T22:11:46Z","cross_cats_sorted":["math.SG"],"title_canon_sha256":"a220b9f267de3901cd8ff930050bf867a5aef803d8549149f3148ee7fb810a6d","abstract_canon_sha256":"d3ff92c4d459d51f2868a8fa4bfafc25b314ceb954926674effd9aadcc6fcdb8"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:26:43.787567Z","signature_b64":"+TvOCd6mm9jePm61dUA2avn5PMk0KlOn2hF21Ta9E8oTccWW1By/lYnuyQ3OW3HxAkf/hZm6pn46k2bCstVQAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e7dadc0be6a7cde70d3fab1a240c1d51ab3f8066bac9107750dcfa80d49b3a9a","last_reissued_at":"2026-05-18T04:26:43.786970Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:26:43.786970Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Deformations and transversality of pseudo-holomorphic discs","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.SG"],"primary_cat":"math.CV","authors_text":"A. Sukhov, A. Tumanov","submitted_at":"2009-09-26T22:11:46Z","abstract_excerpt":"We prove analogs of Thom's transversality theorem and Whitney's theorem on immersions for pseudo-holomorphic discs. We also prove that pseudo-holomorphic discs form a manifold."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0909.4899","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":"0909.4899","created_at":"2026-05-18T04:26:43.787043+00:00"},{"alias_kind":"arxiv_version","alias_value":"0909.4899v3","created_at":"2026-05-18T04:26:43.787043+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0909.4899","created_at":"2026-05-18T04:26:43.787043+00:00"},{"alias_kind":"pith_short_12","alias_value":"47NNYC7GU7G6","created_at":"2026-05-18T12:25:58.018023+00:00"},{"alias_kind":"pith_short_16","alias_value":"47NNYC7GU7G6ODJ7","created_at":"2026-05-18T12:25:58.018023+00:00"},{"alias_kind":"pith_short_8","alias_value":"47NNYC7G","created_at":"2026-05-18T12:25:58.018023+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/47NNYC7GU7G6ODJ7VMNCIDA5KG","json":"https://pith.science/pith/47NNYC7GU7G6ODJ7VMNCIDA5KG.json","graph_json":"https://pith.science/api/pith-number/47NNYC7GU7G6ODJ7VMNCIDA5KG/graph.json","events_json":"https://pith.science/api/pith-number/47NNYC7GU7G6ODJ7VMNCIDA5KG/events.json","paper":"https://pith.science/paper/47NNYC7G"},"agent_actions":{"view_html":"https://pith.science/pith/47NNYC7GU7G6ODJ7VMNCIDA5KG","download_json":"https://pith.science/pith/47NNYC7GU7G6ODJ7VMNCIDA5KG.json","view_paper":"https://pith.science/paper/47NNYC7G","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=0909.4899&json=true","fetch_graph":"https://pith.science/api/pith-number/47NNYC7GU7G6ODJ7VMNCIDA5KG/graph.json","fetch_events":"https://pith.science/api/pith-number/47NNYC7GU7G6ODJ7VMNCIDA5KG/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/47NNYC7GU7G6ODJ7VMNCIDA5KG/action/timestamp_anchor","attest_storage":"https://pith.science/pith/47NNYC7GU7G6ODJ7VMNCIDA5KG/action/storage_attestation","attest_author":"https://pith.science/pith/47NNYC7GU7G6ODJ7VMNCIDA5KG/action/author_attestation","sign_citation":"https://pith.science/pith/47NNYC7GU7G6ODJ7VMNCIDA5KG/action/citation_signature","submit_replication":"https://pith.science/pith/47NNYC7GU7G6ODJ7VMNCIDA5KG/action/replication_record"}},"created_at":"2026-05-18T04:26:43.787043+00:00","updated_at":"2026-05-18T04:26:43.787043+00:00"}