{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2009:64IH2Z67B5WWOUH7DEC24U5H26","short_pith_number":"pith:64IH2Z67","canonical_record":{"source":{"id":"0911.2562","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2009-11-13T08:30:25Z","cross_cats_sorted":["math.AG"],"title_canon_sha256":"2695272dd4ac1db28e6e610b17124c8f9c3187b8f7797b5e775bf042f86bbbab","abstract_canon_sha256":"33f70664acbd40e0c94d874a1f2a40aca06f95aebd528d8e755062e93f3b9c00"},"schema_version":"1.0"},"canonical_sha256":"f7107d67df0f6d6750ff1905ae53a7d782d219486ad5d785c0136f68741df1fa","source":{"kind":"arxiv","id":"0911.2562","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0911.2562","created_at":"2026-05-18T02:32:39Z"},{"alias_kind":"arxiv_version","alias_value":"0911.2562v1","created_at":"2026-05-18T02:32:39Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0911.2562","created_at":"2026-05-18T02:32:39Z"},{"alias_kind":"pith_short_12","alias_value":"64IH2Z67B5WW","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_16","alias_value":"64IH2Z67B5WWOUH7","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_8","alias_value":"64IH2Z67","created_at":"2026-05-18T12:25:58Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2009:64IH2Z67B5WWOUH7DEC24U5H26","target":"record","payload":{"canonical_record":{"source":{"id":"0911.2562","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2009-11-13T08:30:25Z","cross_cats_sorted":["math.AG"],"title_canon_sha256":"2695272dd4ac1db28e6e610b17124c8f9c3187b8f7797b5e775bf042f86bbbab","abstract_canon_sha256":"33f70664acbd40e0c94d874a1f2a40aca06f95aebd528d8e755062e93f3b9c00"},"schema_version":"1.0"},"canonical_sha256":"f7107d67df0f6d6750ff1905ae53a7d782d219486ad5d785c0136f68741df1fa","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:32:39.402637Z","signature_b64":"QtzRY7MJcXN+iDgON5SfQpv2QlMMKylyhpGKd4FNGPUWO2HuLaRkTfllj6coIeiv7Ts+9AdT3BhVGjkIGq/KBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f7107d67df0f6d6750ff1905ae53a7d782d219486ad5d785c0136f68741df1fa","last_reissued_at":"2026-05-18T02:32:39.402055Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:32:39.402055Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"0911.2562","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:32:39Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"+IWwXC05BI6fuVGtlampWriUxkxovoZtmnJ/sd1ejFb0dLg4Q/8/hLrINpvZCFibFlia9m1RRHLnEgIfmh0sCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-25T07:34:54.299106Z"},"content_sha256":"2544ff54ee2ffaa22e6dfa5cdce3f4b9839fefd67ec72d593bb9bb9d5763fa1a","schema_version":"1.0","event_id":"sha256:2544ff54ee2ffaa22e6dfa5cdce3f4b9839fefd67ec72d593bb9bb9d5763fa1a"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2009:64IH2Z67B5WWOUH7DEC24U5H26","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"An Extension of the Cartan-Nochka Second Main Theorem for Hypersurfaces","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AG"],"primary_cat":"math.CV","authors_text":"Do Duc Thai (ENS Hanoi), Gerd Dethloff (Universite de Brest), Tran Van Tan","submitted_at":"2009-11-13T08:30:25Z","abstract_excerpt":"In 1983, Nochka proved a conjecture of Cartan on defects of holomorphic curves in CP^n relative to a possibly degenerate set of hyperplanes. In this paper, we generalize the Nochka's theorem to the case of curves in a complex projective variety intersecting hypersurfaces in subgeneral position."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0911.2562","kind":"arxiv","version":1},"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":"2026-05-18T02:32:39Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"+HmhyzIn7UQs3ivqE6Bqj14Hw9mcQfYVwV91h8csSt/HmBUPS01nQ4ybcMl+y7i+OPj8fKOdhzC1l8btGcDpCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-25T07:34:54.299628Z"},"content_sha256":"48afe5b87acdd79e82cee8c0fb4e3c7c0356be18143d7eb22567abf79f4b2143","schema_version":"1.0","event_id":"sha256:48afe5b87acdd79e82cee8c0fb4e3c7c0356be18143d7eb22567abf79f4b2143"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/64IH2Z67B5WWOUH7DEC24U5H26/bundle.json","state_url":"https://pith.science/pith/64IH2Z67B5WWOUH7DEC24U5H26/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/64IH2Z67B5WWOUH7DEC24U5H26/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":"2026-06-25T07:34:54Z","links":{"resolver":"https://pith.science/pith/64IH2Z67B5WWOUH7DEC24U5H26","bundle":"https://pith.science/pith/64IH2Z67B5WWOUH7DEC24U5H26/bundle.json","state":"https://pith.science/pith/64IH2Z67B5WWOUH7DEC24U5H26/state.json","well_known_bundle":"https://pith.science/.well-known/pith/64IH2Z67B5WWOUH7DEC24U5H26/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2009:64IH2Z67B5WWOUH7DEC24U5H26","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":"33f70664acbd40e0c94d874a1f2a40aca06f95aebd528d8e755062e93f3b9c00","cross_cats_sorted":["math.AG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2009-11-13T08:30:25Z","title_canon_sha256":"2695272dd4ac1db28e6e610b17124c8f9c3187b8f7797b5e775bf042f86bbbab"},"schema_version":"1.0","source":{"id":"0911.2562","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0911.2562","created_at":"2026-05-18T02:32:39Z"},{"alias_kind":"arxiv_version","alias_value":"0911.2562v1","created_at":"2026-05-18T02:32:39Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0911.2562","created_at":"2026-05-18T02:32:39Z"},{"alias_kind":"pith_short_12","alias_value":"64IH2Z67B5WW","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_16","alias_value":"64IH2Z67B5WWOUH7","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_8","alias_value":"64IH2Z67","created_at":"2026-05-18T12:25:58Z"}],"graph_snapshots":[{"event_id":"sha256:48afe5b87acdd79e82cee8c0fb4e3c7c0356be18143d7eb22567abf79f4b2143","target":"graph","created_at":"2026-05-18T02:32:39Z","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":"In 1983, Nochka proved a conjecture of Cartan on defects of holomorphic curves in CP^n relative to a possibly degenerate set of hyperplanes. In this paper, we generalize the Nochka's theorem to the case of curves in a complex projective variety intersecting hypersurfaces in subgeneral position.","authors_text":"Do Duc Thai (ENS Hanoi), Gerd Dethloff (Universite de Brest), Tran Van Tan","cross_cats":["math.AG"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2009-11-13T08:30:25Z","title":"An Extension of the Cartan-Nochka Second Main Theorem for Hypersurfaces"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0911.2562","kind":"arxiv","version":1},"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":"sha256:2544ff54ee2ffaa22e6dfa5cdce3f4b9839fefd67ec72d593bb9bb9d5763fa1a","target":"record","created_at":"2026-05-18T02:32:39Z","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":"33f70664acbd40e0c94d874a1f2a40aca06f95aebd528d8e755062e93f3b9c00","cross_cats_sorted":["math.AG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2009-11-13T08:30:25Z","title_canon_sha256":"2695272dd4ac1db28e6e610b17124c8f9c3187b8f7797b5e775bf042f86bbbab"},"schema_version":"1.0","source":{"id":"0911.2562","kind":"arxiv","version":1}},"canonical_sha256":"f7107d67df0f6d6750ff1905ae53a7d782d219486ad5d785c0136f68741df1fa","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f7107d67df0f6d6750ff1905ae53a7d782d219486ad5d785c0136f68741df1fa","first_computed_at":"2026-05-18T02:32:39.402055Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:32:39.402055Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"QtzRY7MJcXN+iDgON5SfQpv2QlMMKylyhpGKd4FNGPUWO2HuLaRkTfllj6coIeiv7Ts+9AdT3BhVGjkIGq/KBA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:32:39.402637Z","signed_message":"canonical_sha256_bytes"},"source_id":"0911.2562","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2544ff54ee2ffaa22e6dfa5cdce3f4b9839fefd67ec72d593bb9bb9d5763fa1a","sha256:48afe5b87acdd79e82cee8c0fb4e3c7c0356be18143d7eb22567abf79f4b2143"],"state_sha256":"de3edbed278113138b1ca71a4f0dd94bdefedf0ecc9890d6b619f5ab3220e3db"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"SWVAhwZgMU08ZAsnAP3iR1+dUOaEvA0nTGQoNHQBnY2mWZmVjqkEtspiFZyV36tAR2JZHjLbHsAglDpiRmVfBg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-25T07:34:54.302303Z","bundle_sha256":"c0a3726a9b919c8fe414819d8889fcb74f30d673c5b562513838fe66bc56da11"}}