{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:QSN5Y5GIUHE7GAGJAYXOTLFFGX","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":"4beab7d34cc219e2a09d084fe5923756d3536ae718d3c43b96e9d7032441ce1c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2013-05-01T14:37:23Z","title_canon_sha256":"580ec2c366d3d9c2ba506cfeed3bb005e24242f25331d982bfef90407bb6ac8f"},"schema_version":"1.0","source":{"id":"1305.0184","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1305.0184","created_at":"2026-05-18T03:26:41Z"},{"alias_kind":"arxiv_version","alias_value":"1305.0184v1","created_at":"2026-05-18T03:26:41Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1305.0184","created_at":"2026-05-18T03:26:41Z"},{"alias_kind":"pith_short_12","alias_value":"QSN5Y5GIUHE7","created_at":"2026-05-18T12:27:57Z"},{"alias_kind":"pith_short_16","alias_value":"QSN5Y5GIUHE7GAGJ","created_at":"2026-05-18T12:27:57Z"},{"alias_kind":"pith_short_8","alias_value":"QSN5Y5GI","created_at":"2026-05-18T12:27:57Z"}],"graph_snapshots":[{"event_id":"sha256:62266ca1ba8fe0aa045ad2ddfab1db9351c3184b62f9e13e4b73d6322357ecb6","target":"graph","created_at":"2026-05-18T03:26:41Z","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 present work reviews the second half of Lyubarskii and Seip's paper, Weighted Paley--Wiener Spaces. Axioms defining a larger class of de Branges spaces are abstracted, allowing us to state and prove their results at a higher level of generality.","authors_text":"Philippe Poulin","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2013-05-01T14:37:23Z","title":"Weighted Paley-Wiener spaces and mountain chain axioms: a detailed exposition"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1305.0184","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":"sha256:8a4d3e2487ee5fa011a12176acd049ad2fd07f90f780c3bc64f5bb09f8bf1118","target":"record","created_at":"2026-05-18T03:26:41Z","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":"4beab7d34cc219e2a09d084fe5923756d3536ae718d3c43b96e9d7032441ce1c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2013-05-01T14:37:23Z","title_canon_sha256":"580ec2c366d3d9c2ba506cfeed3bb005e24242f25331d982bfef90407bb6ac8f"},"schema_version":"1.0","source":{"id":"1305.0184","kind":"arxiv","version":1}},"canonical_sha256":"849bdc74c8a1c9f300c9062ee9aca535d7d3f2067cc884ab63c8ab941173720a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"849bdc74c8a1c9f300c9062ee9aca535d7d3f2067cc884ab63c8ab941173720a","first_computed_at":"2026-05-18T03:26:41.747969Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:26:41.747969Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"foJSJ0qWGm0BCYA9WAdpPNOm9r3ysXJxYXjOr1SM9TGJ25C5hpYg9s8dG8tq3fEsSFK/TeNFvBfsmDZskngFAg==","signature_status":"signed_v1","signed_at":"2026-05-18T03:26:41.748582Z","signed_message":"canonical_sha256_bytes"},"source_id":"1305.0184","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8a4d3e2487ee5fa011a12176acd049ad2fd07f90f780c3bc64f5bb09f8bf1118","sha256:62266ca1ba8fe0aa045ad2ddfab1db9351c3184b62f9e13e4b73d6322357ecb6"],"state_sha256":"f04de47991ad2fb29532d889f62009d1a24d48e825e6d8aca9f1a108e367dd25"}