{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:62ANR5APRHUCSXZ6ZF5HN2FE4V","short_pith_number":"pith:62ANR5AP","canonical_record":{"source":{"id":"1303.6156","kind":"arxiv","version":7},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2013-03-25T15:09:07Z","cross_cats_sorted":[],"title_canon_sha256":"82e136b8ba04c662bf55e84da631f670f9ea201e85c6c3e6d9463c7e86ee07b8","abstract_canon_sha256":"66792f78a7641b59a7134c12f18de9bbfcdda68b72f7c9ab4f21efb9ff575e6f"},"schema_version":"1.0"},"canonical_sha256":"f680d8f40f89e8295f3ec97a76e8a4e5592fdc7567495638ec5a6f2c0564a3d4","source":{"kind":"arxiv","id":"1303.6156","version":7},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1303.6156","created_at":"2026-05-18T02:45:05Z"},{"alias_kind":"arxiv_version","alias_value":"1303.6156v7","created_at":"2026-05-18T02:45:05Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1303.6156","created_at":"2026-05-18T02:45:05Z"},{"alias_kind":"pith_short_12","alias_value":"62ANR5APRHUC","created_at":"2026-05-18T12:27:34Z"},{"alias_kind":"pith_short_16","alias_value":"62ANR5APRHUCSXZ6","created_at":"2026-05-18T12:27:34Z"},{"alias_kind":"pith_short_8","alias_value":"62ANR5AP","created_at":"2026-05-18T12:27:34Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:62ANR5APRHUCSXZ6ZF5HN2FE4V","target":"record","payload":{"canonical_record":{"source":{"id":"1303.6156","kind":"arxiv","version":7},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2013-03-25T15:09:07Z","cross_cats_sorted":[],"title_canon_sha256":"82e136b8ba04c662bf55e84da631f670f9ea201e85c6c3e6d9463c7e86ee07b8","abstract_canon_sha256":"66792f78a7641b59a7134c12f18de9bbfcdda68b72f7c9ab4f21efb9ff575e6f"},"schema_version":"1.0"},"canonical_sha256":"f680d8f40f89e8295f3ec97a76e8a4e5592fdc7567495638ec5a6f2c0564a3d4","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:45:05.047340Z","signature_b64":"6Wb07S0EaHXCQu0G8/kMlqcIJ9bpDoRf3n/oJJUZrcP/KripeWgeWmjljBwlVC8a/uUZGfZtCwArPQ+yIU3KBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f680d8f40f89e8295f3ec97a76e8a4e5592fdc7567495638ec5a6f2c0564a3d4","last_reissued_at":"2026-05-18T02:45:05.046874Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:45:05.046874Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1303.6156","source_version":7,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:45:05Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"il/JN4jeufkMz00MrtvFaH/QaAVnrtiPnbRaZbdwv/NC7EKeqlklKq0T1Mn/nyZm+vb0MoyWzsfe9SECxUTUDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-11T06:02:09.005433Z"},"content_sha256":"ab4607d8aa6af930adfd6602b23fa8068f1d9856693254234ec23c0b18c54891","schema_version":"1.0","event_id":"sha256:ab4607d8aa6af930adfd6602b23fa8068f1d9856693254234ec23c0b18c54891"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:62ANR5APRHUCSXZ6ZF5HN2FE4V","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On the existence of tangential holomorphic vector fields vanishing at an infinite type point","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CV","authors_text":"Ninh Van Thu","submitted_at":"2013-03-25T15:09:07Z","abstract_excerpt":"The purpose of this article is to investigate the holomorphic vector fields tangent to a real hypersurface in $\\mathbb C^2$ vanishing at an infinite type point."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1303.6156","kind":"arxiv","version":7},"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":"2026-05-18T02:45:05Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"+0BcL0fB/MhSji8jlgnVLvvzAvbvCormobzMRh273zFbtOr+0XfJT24Z+0ZJ4u9X5Rf3i0SRLBIjW2dVIF9rCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-11T06:02:09.006153Z"},"content_sha256":"fd188364fb7e8efe8d473a0d1c094e5ac0c362362d8e0b5eea32fc21411f4341","schema_version":"1.0","event_id":"sha256:fd188364fb7e8efe8d473a0d1c094e5ac0c362362d8e0b5eea32fc21411f4341"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/62ANR5APRHUCSXZ6ZF5HN2FE4V/bundle.json","state_url":"https://pith.science/pith/62ANR5APRHUCSXZ6ZF5HN2FE4V/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/62ANR5APRHUCSXZ6ZF5HN2FE4V/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":"2026-06-11T06:02:09Z","links":{"resolver":"https://pith.science/pith/62ANR5APRHUCSXZ6ZF5HN2FE4V","bundle":"https://pith.science/pith/62ANR5APRHUCSXZ6ZF5HN2FE4V/bundle.json","state":"https://pith.science/pith/62ANR5APRHUCSXZ6ZF5HN2FE4V/state.json","well_known_bundle":"https://pith.science/.well-known/pith/62ANR5APRHUCSXZ6ZF5HN2FE4V/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:62ANR5APRHUCSXZ6ZF5HN2FE4V","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":"66792f78a7641b59a7134c12f18de9bbfcdda68b72f7c9ab4f21efb9ff575e6f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2013-03-25T15:09:07Z","title_canon_sha256":"82e136b8ba04c662bf55e84da631f670f9ea201e85c6c3e6d9463c7e86ee07b8"},"schema_version":"1.0","source":{"id":"1303.6156","kind":"arxiv","version":7}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1303.6156","created_at":"2026-05-18T02:45:05Z"},{"alias_kind":"arxiv_version","alias_value":"1303.6156v7","created_at":"2026-05-18T02:45:05Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1303.6156","created_at":"2026-05-18T02:45:05Z"},{"alias_kind":"pith_short_12","alias_value":"62ANR5APRHUC","created_at":"2026-05-18T12:27:34Z"},{"alias_kind":"pith_short_16","alias_value":"62ANR5APRHUCSXZ6","created_at":"2026-05-18T12:27:34Z"},{"alias_kind":"pith_short_8","alias_value":"62ANR5AP","created_at":"2026-05-18T12:27:34Z"}],"graph_snapshots":[{"event_id":"sha256:fd188364fb7e8efe8d473a0d1c094e5ac0c362362d8e0b5eea32fc21411f4341","target":"graph","created_at":"2026-05-18T02:45:05Z","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":"The purpose of this article is to investigate the holomorphic vector fields tangent to a real hypersurface in $\\mathbb C^2$ vanishing at an infinite type point.","authors_text":"Ninh Van Thu","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2013-03-25T15:09:07Z","title":"On the existence of tangential holomorphic vector fields vanishing at an infinite type point"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1303.6156","kind":"arxiv","version":7},"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:ab4607d8aa6af930adfd6602b23fa8068f1d9856693254234ec23c0b18c54891","target":"record","created_at":"2026-05-18T02:45:05Z","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":"66792f78a7641b59a7134c12f18de9bbfcdda68b72f7c9ab4f21efb9ff575e6f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2013-03-25T15:09:07Z","title_canon_sha256":"82e136b8ba04c662bf55e84da631f670f9ea201e85c6c3e6d9463c7e86ee07b8"},"schema_version":"1.0","source":{"id":"1303.6156","kind":"arxiv","version":7}},"canonical_sha256":"f680d8f40f89e8295f3ec97a76e8a4e5592fdc7567495638ec5a6f2c0564a3d4","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f680d8f40f89e8295f3ec97a76e8a4e5592fdc7567495638ec5a6f2c0564a3d4","first_computed_at":"2026-05-18T02:45:05.046874Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:45:05.046874Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"6Wb07S0EaHXCQu0G8/kMlqcIJ9bpDoRf3n/oJJUZrcP/KripeWgeWmjljBwlVC8a/uUZGfZtCwArPQ+yIU3KBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:45:05.047340Z","signed_message":"canonical_sha256_bytes"},"source_id":"1303.6156","source_kind":"arxiv","source_version":7}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ab4607d8aa6af930adfd6602b23fa8068f1d9856693254234ec23c0b18c54891","sha256:fd188364fb7e8efe8d473a0d1c094e5ac0c362362d8e0b5eea32fc21411f4341"],"state_sha256":"e0841f00a3666ffe163a08a679761088caca6cb1f78921214dd9d5e340dd73c8"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"vpHZ3pg6diK+OmhHiLoKdzNR0Vs9xBTKBqWQnvgNkilfJ323tGPoYHnIKDu8qBYpH+LyfusT/ixhnQsL1H/qBw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-11T06:02:09.010646Z","bundle_sha256":"654d6de33a2234f22cc7a7709298b7d50dfc8894bcac299bdc6c3f6e6ee8f9a6"}}