{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:X2E7L77FCCGOO2SH667JU4AKER","short_pith_number":"pith:X2E7L77F","canonical_record":{"source":{"id":"1510.08383","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2015-10-28T17:21:05Z","cross_cats_sorted":["math.FA"],"title_canon_sha256":"2204b9f33a90342ec4d21e4f8ef2b61e4cbc0f5474822a74a7ba256da31dc53c","abstract_canon_sha256":"4fd1c69449120ec73faf0b932f61c3ec88a499466e424c05067f89f963efe988"},"schema_version":"1.0"},"canonical_sha256":"be89f5ffe5108ce76a47f7be9a700a2475e1c9b0bba8c18fecd344ace2a31010","source":{"kind":"arxiv","id":"1510.08383","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1510.08383","created_at":"2026-05-18T00:44:46Z"},{"alias_kind":"arxiv_version","alias_value":"1510.08383v2","created_at":"2026-05-18T00:44:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1510.08383","created_at":"2026-05-18T00:44:46Z"},{"alias_kind":"pith_short_12","alias_value":"X2E7L77FCCGO","created_at":"2026-05-18T12:29:47Z"},{"alias_kind":"pith_short_16","alias_value":"X2E7L77FCCGOO2SH","created_at":"2026-05-18T12:29:47Z"},{"alias_kind":"pith_short_8","alias_value":"X2E7L77F","created_at":"2026-05-18T12:29:47Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:X2E7L77FCCGOO2SH667JU4AKER","target":"record","payload":{"canonical_record":{"source":{"id":"1510.08383","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2015-10-28T17:21:05Z","cross_cats_sorted":["math.FA"],"title_canon_sha256":"2204b9f33a90342ec4d21e4f8ef2b61e4cbc0f5474822a74a7ba256da31dc53c","abstract_canon_sha256":"4fd1c69449120ec73faf0b932f61c3ec88a499466e424c05067f89f963efe988"},"schema_version":"1.0"},"canonical_sha256":"be89f5ffe5108ce76a47f7be9a700a2475e1c9b0bba8c18fecd344ace2a31010","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:44:46.125989Z","signature_b64":"1rVeuu3T3ZtafcWuRtsXQe802EkmZsa5ifbwwB7G68PHskTcD05I8403Xb1zYutdaHm+tSRVl1gZnF2+OFVdCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"be89f5ffe5108ce76a47f7be9a700a2475e1c9b0bba8c18fecd344ace2a31010","last_reissued_at":"2026-05-18T00:44:46.125561Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:44:46.125561Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1510.08383","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":"2026-05-18T00:44:46Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"oGo0n4pbq9DKhf7F7NgnxwOT40XvzpRvfmgOgPojuh6VkkM1JoPKh+YJVKyDQHQ7cwvyjLuM3nx08JPBvEG1CA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-12T01:58:55.892421Z"},"content_sha256":"fe797195daa8caa92452620d60c8ed1a08fdcefe87ccf2574e26721014020e91","schema_version":"1.0","event_id":"sha256:fe797195daa8caa92452620d60c8ed1a08fdcefe87ccf2574e26721014020e91"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:X2E7L77FCCGOO2SH667JU4AKER","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Interpolation Formulas With Derivatives in De Branges Spaces II","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.FA"],"primary_cat":"math.CV","authors_text":"Felipe Gon\\c{c}alves, Friedrich Littmann","submitted_at":"2015-10-28T17:21:05Z","abstract_excerpt":"We investigate necessary and sufficient conditions under which entire functions in de Branges spaces can be recovered from function values and values of derivatives. Our main focus is on spaces with a structure function whose logarithmic derivative is bounded in the upper half-plane."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1510.08383","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":"2026-05-18T00:44:46Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"wB802zRonXyDR+kyO6e5ZBW1ys5+Qq8VOFpmDzXcUW5Tzx7ir2jGf7wy5djAlrTYqFGZe5yxJif3RJd4l5RoCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-12T01:58:55.893193Z"},"content_sha256":"a86bbcc6951f1a8a83d7d4d35d2cd6da908a8279f55f2c5527a524810fcc3399","schema_version":"1.0","event_id":"sha256:a86bbcc6951f1a8a83d7d4d35d2cd6da908a8279f55f2c5527a524810fcc3399"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/X2E7L77FCCGOO2SH667JU4AKER/bundle.json","state_url":"https://pith.science/pith/X2E7L77FCCGOO2SH667JU4AKER/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/X2E7L77FCCGOO2SH667JU4AKER/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":"2026-06-12T01:58:55Z","links":{"resolver":"https://pith.science/pith/X2E7L77FCCGOO2SH667JU4AKER","bundle":"https://pith.science/pith/X2E7L77FCCGOO2SH667JU4AKER/bundle.json","state":"https://pith.science/pith/X2E7L77FCCGOO2SH667JU4AKER/state.json","well_known_bundle":"https://pith.science/.well-known/pith/X2E7L77FCCGOO2SH667JU4AKER/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:X2E7L77FCCGOO2SH667JU4AKER","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":"4fd1c69449120ec73faf0b932f61c3ec88a499466e424c05067f89f963efe988","cross_cats_sorted":["math.FA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2015-10-28T17:21:05Z","title_canon_sha256":"2204b9f33a90342ec4d21e4f8ef2b61e4cbc0f5474822a74a7ba256da31dc53c"},"schema_version":"1.0","source":{"id":"1510.08383","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1510.08383","created_at":"2026-05-18T00:44:46Z"},{"alias_kind":"arxiv_version","alias_value":"1510.08383v2","created_at":"2026-05-18T00:44:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1510.08383","created_at":"2026-05-18T00:44:46Z"},{"alias_kind":"pith_short_12","alias_value":"X2E7L77FCCGO","created_at":"2026-05-18T12:29:47Z"},{"alias_kind":"pith_short_16","alias_value":"X2E7L77FCCGOO2SH","created_at":"2026-05-18T12:29:47Z"},{"alias_kind":"pith_short_8","alias_value":"X2E7L77F","created_at":"2026-05-18T12:29:47Z"}],"graph_snapshots":[{"event_id":"sha256:a86bbcc6951f1a8a83d7d4d35d2cd6da908a8279f55f2c5527a524810fcc3399","target":"graph","created_at":"2026-05-18T00:44:46Z","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 investigate necessary and sufficient conditions under which entire functions in de Branges spaces can be recovered from function values and values of derivatives. Our main focus is on spaces with a structure function whose logarithmic derivative is bounded in the upper half-plane.","authors_text":"Felipe Gon\\c{c}alves, Friedrich Littmann","cross_cats":["math.FA"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2015-10-28T17:21:05Z","title":"Interpolation Formulas With Derivatives in De Branges Spaces II"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1510.08383","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:fe797195daa8caa92452620d60c8ed1a08fdcefe87ccf2574e26721014020e91","target":"record","created_at":"2026-05-18T00:44:46Z","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":"4fd1c69449120ec73faf0b932f61c3ec88a499466e424c05067f89f963efe988","cross_cats_sorted":["math.FA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2015-10-28T17:21:05Z","title_canon_sha256":"2204b9f33a90342ec4d21e4f8ef2b61e4cbc0f5474822a74a7ba256da31dc53c"},"schema_version":"1.0","source":{"id":"1510.08383","kind":"arxiv","version":2}},"canonical_sha256":"be89f5ffe5108ce76a47f7be9a700a2475e1c9b0bba8c18fecd344ace2a31010","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"be89f5ffe5108ce76a47f7be9a700a2475e1c9b0bba8c18fecd344ace2a31010","first_computed_at":"2026-05-18T00:44:46.125561Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:44:46.125561Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"1rVeuu3T3ZtafcWuRtsXQe802EkmZsa5ifbwwB7G68PHskTcD05I8403Xb1zYutdaHm+tSRVl1gZnF2+OFVdCA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:44:46.125989Z","signed_message":"canonical_sha256_bytes"},"source_id":"1510.08383","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:fe797195daa8caa92452620d60c8ed1a08fdcefe87ccf2574e26721014020e91","sha256:a86bbcc6951f1a8a83d7d4d35d2cd6da908a8279f55f2c5527a524810fcc3399"],"state_sha256":"855775539a57cb15d050c68d748311bd9e9ab42882d134bcc9c5203beeb2b68b"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Hjo3b4BHGoCoylRvQvszdmoAWyzcSI2hx04YXiPsnMGZH5ASQV5D+fraEzU7MMS5C97djkpR+idBYR9QqHOEBg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-12T01:58:55.896722Z","bundle_sha256":"25c5c486612495eccc1e9a7df6532b3db163ce4cb13f843516c7cf3b931c6348"}}