{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2004:GTDGFOOIW4HUBJNAKNLURBSVW3","short_pith_number":"pith:GTDGFOOI","canonical_record":{"source":{"id":"math/0406421","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"math.CV","submitted_at":"2004-06-22T04:08:17Z","cross_cats_sorted":["math.GT"],"title_canon_sha256":"2ff45fd7b882189d6523a95fc0175d03222e42013f00e937981ce648f0157101","abstract_canon_sha256":"beeb5ed682ca964827600a36ce4f49c273f9d0c52154a0322c5c3911c2b01c56"},"schema_version":"1.0"},"canonical_sha256":"34c662b9c8b70f40a5a05357488655b6f4220f8afd06de917a109a8273ac7541","source":{"kind":"arxiv","id":"math/0406421","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"math/0406421","created_at":"2026-05-18T04:33:18Z"},{"alias_kind":"arxiv_version","alias_value":"math/0406421v2","created_at":"2026-05-18T04:33:18Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math/0406421","created_at":"2026-05-18T04:33:18Z"},{"alias_kind":"pith_short_12","alias_value":"GTDGFOOIW4HU","created_at":"2026-05-18T12:25:52Z"},{"alias_kind":"pith_short_16","alias_value":"GTDGFOOIW4HUBJNA","created_at":"2026-05-18T12:25:52Z"},{"alias_kind":"pith_short_8","alias_value":"GTDGFOOI","created_at":"2026-05-18T12:25:52Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2004:GTDGFOOIW4HUBJNAKNLURBSVW3","target":"record","payload":{"canonical_record":{"source":{"id":"math/0406421","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"math.CV","submitted_at":"2004-06-22T04:08:17Z","cross_cats_sorted":["math.GT"],"title_canon_sha256":"2ff45fd7b882189d6523a95fc0175d03222e42013f00e937981ce648f0157101","abstract_canon_sha256":"beeb5ed682ca964827600a36ce4f49c273f9d0c52154a0322c5c3911c2b01c56"},"schema_version":"1.0"},"canonical_sha256":"34c662b9c8b70f40a5a05357488655b6f4220f8afd06de917a109a8273ac7541","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:33:18.451165Z","signature_b64":"65pwp13NO17SxnHB4zbZCR6aCU9y8mnKeKaNlkgCi5wzrMsozwV6kBGWk78IjRbRkQ3nF6QksoKYzwoAwoXRDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"34c662b9c8b70f40a5a05357488655b6f4220f8afd06de917a109a8273ac7541","last_reissued_at":"2026-05-18T04:33:18.450680Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:33:18.450680Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"math/0406421","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":"2026-05-18T04:33:18Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"E6xv7QJGkCLCCa0wJQM+gzmEwuApFzLagBW43MuKgHnLcW1WCraz4xyqSrXuySCLxOtIslXO3knuTzloov1fAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T08:42:31.305091Z"},"content_sha256":"51ab94fd5d02a17b0896e3de16f11ad517afba38c2a85ac0ce2dceb85defa33b","schema_version":"1.0","event_id":"sha256:51ab94fd5d02a17b0896e3de16f11ad517afba38c2a85ac0ce2dceb85defa33b"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2004:GTDGFOOIW4HUBJNAKNLURBSVW3","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On non-integrable complex distributions: an approach by transversality with real domains","license":"","headline":"","cross_cats":["math.GT"],"primary_cat":"math.CV","authors_text":"Bruno Scardua, Toshikazu Ito","submitted_at":"2004-06-22T04:08:17Z","abstract_excerpt":"We study the classification of singularities of holomorphic foliations and non-integrable one-forms under the hypothesis of transversality with real hypersurfaces."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/0406421","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":"2026-05-18T04:33:18Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"iV9jd4/71eQGTNG6x8eN5AhG5UBSA3cZTl0GAG2mBaP/jb1wIRRyLdpxOkRDDNFYlvEDq1elVcK9Fb4jCQGgCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T08:42:31.305646Z"},"content_sha256":"3ad181e52c9207bbad00e0333da48916cb7bc10f1650949e80993c72d8e8c30f","schema_version":"1.0","event_id":"sha256:3ad181e52c9207bbad00e0333da48916cb7bc10f1650949e80993c72d8e8c30f"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/GTDGFOOIW4HUBJNAKNLURBSVW3/bundle.json","state_url":"https://pith.science/pith/GTDGFOOIW4HUBJNAKNLURBSVW3/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/GTDGFOOIW4HUBJNAKNLURBSVW3/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":"2026-06-03T08:42:31Z","links":{"resolver":"https://pith.science/pith/GTDGFOOIW4HUBJNAKNLURBSVW3","bundle":"https://pith.science/pith/GTDGFOOIW4HUBJNAKNLURBSVW3/bundle.json","state":"https://pith.science/pith/GTDGFOOIW4HUBJNAKNLURBSVW3/state.json","well_known_bundle":"https://pith.science/.well-known/pith/GTDGFOOIW4HUBJNAKNLURBSVW3/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2004:GTDGFOOIW4HUBJNAKNLURBSVW3","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":"beeb5ed682ca964827600a36ce4f49c273f9d0c52154a0322c5c3911c2b01c56","cross_cats_sorted":["math.GT"],"license":"","primary_cat":"math.CV","submitted_at":"2004-06-22T04:08:17Z","title_canon_sha256":"2ff45fd7b882189d6523a95fc0175d03222e42013f00e937981ce648f0157101"},"schema_version":"1.0","source":{"id":"math/0406421","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"math/0406421","created_at":"2026-05-18T04:33:18Z"},{"alias_kind":"arxiv_version","alias_value":"math/0406421v2","created_at":"2026-05-18T04:33:18Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math/0406421","created_at":"2026-05-18T04:33:18Z"},{"alias_kind":"pith_short_12","alias_value":"GTDGFOOIW4HU","created_at":"2026-05-18T12:25:52Z"},{"alias_kind":"pith_short_16","alias_value":"GTDGFOOIW4HUBJNA","created_at":"2026-05-18T12:25:52Z"},{"alias_kind":"pith_short_8","alias_value":"GTDGFOOI","created_at":"2026-05-18T12:25:52Z"}],"graph_snapshots":[{"event_id":"sha256:3ad181e52c9207bbad00e0333da48916cb7bc10f1650949e80993c72d8e8c30f","target":"graph","created_at":"2026-05-18T04:33:18Z","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 study the classification of singularities of holomorphic foliations and non-integrable one-forms under the hypothesis of transversality with real hypersurfaces.","authors_text":"Bruno Scardua, Toshikazu Ito","cross_cats":["math.GT"],"headline":"","license":"","primary_cat":"math.CV","submitted_at":"2004-06-22T04:08:17Z","title":"On non-integrable complex distributions: an approach by transversality with real domains"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/0406421","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":"sha256:51ab94fd5d02a17b0896e3de16f11ad517afba38c2a85ac0ce2dceb85defa33b","target":"record","created_at":"2026-05-18T04:33:18Z","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":"beeb5ed682ca964827600a36ce4f49c273f9d0c52154a0322c5c3911c2b01c56","cross_cats_sorted":["math.GT"],"license":"","primary_cat":"math.CV","submitted_at":"2004-06-22T04:08:17Z","title_canon_sha256":"2ff45fd7b882189d6523a95fc0175d03222e42013f00e937981ce648f0157101"},"schema_version":"1.0","source":{"id":"math/0406421","kind":"arxiv","version":2}},"canonical_sha256":"34c662b9c8b70f40a5a05357488655b6f4220f8afd06de917a109a8273ac7541","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"34c662b9c8b70f40a5a05357488655b6f4220f8afd06de917a109a8273ac7541","first_computed_at":"2026-05-18T04:33:18.450680Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:33:18.450680Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"65pwp13NO17SxnHB4zbZCR6aCU9y8mnKeKaNlkgCi5wzrMsozwV6kBGWk78IjRbRkQ3nF6QksoKYzwoAwoXRDw==","signature_status":"signed_v1","signed_at":"2026-05-18T04:33:18.451165Z","signed_message":"canonical_sha256_bytes"},"source_id":"math/0406421","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:51ab94fd5d02a17b0896e3de16f11ad517afba38c2a85ac0ce2dceb85defa33b","sha256:3ad181e52c9207bbad00e0333da48916cb7bc10f1650949e80993c72d8e8c30f"],"state_sha256":"4d3243269a819f0cdab6fb9ecdf247ee4ed5322550b6cd47d1a0b01ffe2abaeb"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"lLa4YXlZtSwTmRuK0akComONnGKy01cQIYnISMlb5JzvAwyLjO8tU40Ebm38iMzWmHfThen6sveId8AWmRfYAw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-03T08:42:31.308285Z","bundle_sha256":"69f97f61ea194ec1d728272ed4e2a429c3701dac6f58263171f1a31056167fe5"}}