{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:APNQABGM3HUTPHOJCF4EVINAXM","short_pith_number":"pith:APNQABGM","canonical_record":{"source":{"id":"1801.01345","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2018-01-04T13:41:06Z","cross_cats_sorted":["math.FA"],"title_canon_sha256":"645ab4403ae4281a3f68c4ea79b932d132be824de82039d6db45df3237b80c51","abstract_canon_sha256":"63a568d760982b41311860000b52fed9e6107ea1e65de85f1886fb7bf6a66876"},"schema_version":"1.0"},"canonical_sha256":"03db0004ccd9e9379dc911784aa1a0bb2b43e3ada2fe61cd9790f59093cb1077","source":{"kind":"arxiv","id":"1801.01345","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1801.01345","created_at":"2026-05-18T00:26:42Z"},{"alias_kind":"arxiv_version","alias_value":"1801.01345v1","created_at":"2026-05-18T00:26:42Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1801.01345","created_at":"2026-05-18T00:26:42Z"},{"alias_kind":"pith_short_12","alias_value":"APNQABGM3HUT","created_at":"2026-05-18T12:32:13Z"},{"alias_kind":"pith_short_16","alias_value":"APNQABGM3HUTPHOJ","created_at":"2026-05-18T12:32:13Z"},{"alias_kind":"pith_short_8","alias_value":"APNQABGM","created_at":"2026-05-18T12:32:13Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:APNQABGM3HUTPHOJCF4EVINAXM","target":"record","payload":{"canonical_record":{"source":{"id":"1801.01345","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2018-01-04T13:41:06Z","cross_cats_sorted":["math.FA"],"title_canon_sha256":"645ab4403ae4281a3f68c4ea79b932d132be824de82039d6db45df3237b80c51","abstract_canon_sha256":"63a568d760982b41311860000b52fed9e6107ea1e65de85f1886fb7bf6a66876"},"schema_version":"1.0"},"canonical_sha256":"03db0004ccd9e9379dc911784aa1a0bb2b43e3ada2fe61cd9790f59093cb1077","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:26:42.400950Z","signature_b64":"d+s8mY3DT64eXnFQ44U2EuW64/BYebMWDXyDk0irInd3S/mFyN+C5a1HPB+jWW3psq2JEP45cMI2AivWTvWhBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"03db0004ccd9e9379dc911784aa1a0bb2b43e3ada2fe61cd9790f59093cb1077","last_reissued_at":"2026-05-18T00:26:42.400302Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:26:42.400302Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1801.01345","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":"2026-05-18T00:26:42Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"e9EaVZrmecZap87jGU4J7dqrLO+FG2lm5Ujj0MAi3IxN7xJ8fqEoNRLj/GX3g1WmqTWUYb1TT8vdPA5Zh4m+DQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T16:45:22.458402Z"},"content_sha256":"8bdaaaeb0e1ccb3ec0f01fce2dbb52cd60e8a1adea7677d55f3f754939b47f82","schema_version":"1.0","event_id":"sha256:8bdaaaeb0e1ccb3ec0f01fce2dbb52cd60e8a1adea7677d55f3f754939b47f82"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:APNQABGM3HUTPHOJCF4EVINAXM","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"De Branges spaces and Fock spaces","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.FA"],"primary_cat":"math.CV","authors_text":"Anton Baranov, H\\'el\\`ene Bommier-Hato","submitted_at":"2018-01-04T13:41:06Z","abstract_excerpt":"Relations between two classes of Hilbert spaces of entire functions, de Branges spaces and Fock-type spaces with non-radial weights, are studied. It is shown that any de Branges space can be realized as a Fock-type space with equivalent area norm, and several constructions of a representing weight are suggested. For some special classes of weights (e.g., weights depending on the imaginary part only) the corresponding de Branges spaces are explicitly described."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1801.01345","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":"2026-05-18T00:26:42Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"tF2Nd41nXClXcFTOWO0SpRulWTTkvEtZ2RsqJW1H8SnqxhMhiRL97l9BQ3MW2j32f59MPWOLozxhzJzn5HzlAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T16:45:22.458754Z"},"content_sha256":"3e370c5f94aed041176cfdac9a1a0bd10c10bb36b5945b18e43820fd764f6230","schema_version":"1.0","event_id":"sha256:3e370c5f94aed041176cfdac9a1a0bd10c10bb36b5945b18e43820fd764f6230"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/APNQABGM3HUTPHOJCF4EVINAXM/bundle.json","state_url":"https://pith.science/pith/APNQABGM3HUTPHOJCF4EVINAXM/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/APNQABGM3HUTPHOJCF4EVINAXM/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":"2026-06-01T16:45:22Z","links":{"resolver":"https://pith.science/pith/APNQABGM3HUTPHOJCF4EVINAXM","bundle":"https://pith.science/pith/APNQABGM3HUTPHOJCF4EVINAXM/bundle.json","state":"https://pith.science/pith/APNQABGM3HUTPHOJCF4EVINAXM/state.json","well_known_bundle":"https://pith.science/.well-known/pith/APNQABGM3HUTPHOJCF4EVINAXM/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:APNQABGM3HUTPHOJCF4EVINAXM","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":"63a568d760982b41311860000b52fed9e6107ea1e65de85f1886fb7bf6a66876","cross_cats_sorted":["math.FA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2018-01-04T13:41:06Z","title_canon_sha256":"645ab4403ae4281a3f68c4ea79b932d132be824de82039d6db45df3237b80c51"},"schema_version":"1.0","source":{"id":"1801.01345","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1801.01345","created_at":"2026-05-18T00:26:42Z"},{"alias_kind":"arxiv_version","alias_value":"1801.01345v1","created_at":"2026-05-18T00:26:42Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1801.01345","created_at":"2026-05-18T00:26:42Z"},{"alias_kind":"pith_short_12","alias_value":"APNQABGM3HUT","created_at":"2026-05-18T12:32:13Z"},{"alias_kind":"pith_short_16","alias_value":"APNQABGM3HUTPHOJ","created_at":"2026-05-18T12:32:13Z"},{"alias_kind":"pith_short_8","alias_value":"APNQABGM","created_at":"2026-05-18T12:32:13Z"}],"graph_snapshots":[{"event_id":"sha256:3e370c5f94aed041176cfdac9a1a0bd10c10bb36b5945b18e43820fd764f6230","target":"graph","created_at":"2026-05-18T00:26:42Z","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":"Relations between two classes of Hilbert spaces of entire functions, de Branges spaces and Fock-type spaces with non-radial weights, are studied. It is shown that any de Branges space can be realized as a Fock-type space with equivalent area norm, and several constructions of a representing weight are suggested. For some special classes of weights (e.g., weights depending on the imaginary part only) the corresponding de Branges spaces are explicitly described.","authors_text":"Anton Baranov, H\\'el\\`ene Bommier-Hato","cross_cats":["math.FA"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2018-01-04T13:41:06Z","title":"De Branges spaces and Fock spaces"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1801.01345","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":"sha256:8bdaaaeb0e1ccb3ec0f01fce2dbb52cd60e8a1adea7677d55f3f754939b47f82","target":"record","created_at":"2026-05-18T00:26:42Z","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":"63a568d760982b41311860000b52fed9e6107ea1e65de85f1886fb7bf6a66876","cross_cats_sorted":["math.FA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2018-01-04T13:41:06Z","title_canon_sha256":"645ab4403ae4281a3f68c4ea79b932d132be824de82039d6db45df3237b80c51"},"schema_version":"1.0","source":{"id":"1801.01345","kind":"arxiv","version":1}},"canonical_sha256":"03db0004ccd9e9379dc911784aa1a0bb2b43e3ada2fe61cd9790f59093cb1077","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"03db0004ccd9e9379dc911784aa1a0bb2b43e3ada2fe61cd9790f59093cb1077","first_computed_at":"2026-05-18T00:26:42.400302Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:26:42.400302Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"d+s8mY3DT64eXnFQ44U2EuW64/BYebMWDXyDk0irInd3S/mFyN+C5a1HPB+jWW3psq2JEP45cMI2AivWTvWhBg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:26:42.400950Z","signed_message":"canonical_sha256_bytes"},"source_id":"1801.01345","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8bdaaaeb0e1ccb3ec0f01fce2dbb52cd60e8a1adea7677d55f3f754939b47f82","sha256:3e370c5f94aed041176cfdac9a1a0bd10c10bb36b5945b18e43820fd764f6230"],"state_sha256":"0bbee0a1bcbdb63082f6de9dccddb3bf171e04a9c0814959dfe1f306d607f4b3"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"f34e/zwHbC4+wxpPtgnRs3UFELMA5O+gCli/EPr+Viy/G1IbOU+BkJIyG6kgpxQE6KU931sY8Yv2hlxVP5PAAA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-01T16:45:22.460944Z","bundle_sha256":"fbb887ff40e37c60c56dbf1a61d2e0fe222e59803f73817425454a7947989cf6"}}