{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:G72I4BKTQFBD3TVN4LMVIRJTSS","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":"e03eaaa9d380860d2fbe852f273daf607a567a7fd7300b7ee5b0b483fe1972d5","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2015-01-19T23:28:43Z","title_canon_sha256":"5e97ad2f9fba09cf2d749336246663b907b01ef18d26adb411bc5322a69aa347"},"schema_version":"1.0","source":{"id":"1501.04673","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1501.04673","created_at":"2026-05-18T01:59:57Z"},{"alias_kind":"arxiv_version","alias_value":"1501.04673v2","created_at":"2026-05-18T01:59:57Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1501.04673","created_at":"2026-05-18T01:59:57Z"},{"alias_kind":"pith_short_12","alias_value":"G72I4BKTQFBD","created_at":"2026-05-18T12:29:22Z"},{"alias_kind":"pith_short_16","alias_value":"G72I4BKTQFBD3TVN","created_at":"2026-05-18T12:29:22Z"},{"alias_kind":"pith_short_8","alias_value":"G72I4BKT","created_at":"2026-05-18T12:29:22Z"}],"graph_snapshots":[{"event_id":"sha256:190120071f81aa3a62b1cb617e03c5651e35a84471e493b4125ac38c81d2314d","target":"graph","created_at":"2026-05-18T01:59:57Z","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 give a geometric approach to the proof of the $\\lambda$-lemma. In particular, we point out the role pseudoconvexity plays in the proof.","authors_text":"Eric Bedford, Tanya Firsova","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2015-01-19T23:28:43Z","title":"Geometric proof of the $\\lambda$-lemma"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1501.04673","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":"sha256:23823b5db760c1ee3379f3c30202a51346044439bd54d4df99c0bebca41025e4","target":"record","created_at":"2026-05-18T01:59:57Z","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":"e03eaaa9d380860d2fbe852f273daf607a567a7fd7300b7ee5b0b483fe1972d5","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2015-01-19T23:28:43Z","title_canon_sha256":"5e97ad2f9fba09cf2d749336246663b907b01ef18d26adb411bc5322a69aa347"},"schema_version":"1.0","source":{"id":"1501.04673","kind":"arxiv","version":2}},"canonical_sha256":"37f48e055381423dceade2d954453394b52d4c6b31762a0e7929bf91873f4bab","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"37f48e055381423dceade2d954453394b52d4c6b31762a0e7929bf91873f4bab","first_computed_at":"2026-05-18T01:59:57.861211Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:59:57.861211Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"R5I5NlLItXSCb5YYhTIJCNxCQkzm3lepdGYWnafEgqZQftm2Ra6LaZCiTfuMg3oGYAiJEbQu70RFltA8V5tIDw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:59:57.861816Z","signed_message":"canonical_sha256_bytes"},"source_id":"1501.04673","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:23823b5db760c1ee3379f3c30202a51346044439bd54d4df99c0bebca41025e4","sha256:190120071f81aa3a62b1cb617e03c5651e35a84471e493b4125ac38c81d2314d"],"state_sha256":"c6c33236bbdf87494238f905e64f45e3984345fedd223ce223a83744119a9f3f"}