{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:QVFG6KYBCRTPSXIJZB6ENMA66F","short_pith_number":"pith:QVFG6KYB","canonical_record":{"source":{"id":"1808.02782","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.LO","submitted_at":"2018-08-08T13:56:28Z","cross_cats_sorted":[],"title_canon_sha256":"7e2b1eb619de885cffb4f657e0686c5f2ccc3775aebd3caccb302ea73883482e","abstract_canon_sha256":"0cf0dd37b349b782de50c0976f7b241a701dd202a431e2e1cc4efb90f1d765e5"},"schema_version":"1.0"},"canonical_sha256":"854a6f2b011466f95d09c87c46b01ef14453fc021ca4ef6bcde7560750f589da","source":{"kind":"arxiv","id":"1808.02782","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1808.02782","created_at":"2026-05-18T00:08:32Z"},{"alias_kind":"arxiv_version","alias_value":"1808.02782v1","created_at":"2026-05-18T00:08:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1808.02782","created_at":"2026-05-18T00:08:32Z"},{"alias_kind":"pith_short_12","alias_value":"QVFG6KYBCRTP","created_at":"2026-05-18T12:32:46Z"},{"alias_kind":"pith_short_16","alias_value":"QVFG6KYBCRTPSXIJ","created_at":"2026-05-18T12:32:46Z"},{"alias_kind":"pith_short_8","alias_value":"QVFG6KYB","created_at":"2026-05-18T12:32:46Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:QVFG6KYBCRTPSXIJZB6ENMA66F","target":"record","payload":{"canonical_record":{"source":{"id":"1808.02782","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.LO","submitted_at":"2018-08-08T13:56:28Z","cross_cats_sorted":[],"title_canon_sha256":"7e2b1eb619de885cffb4f657e0686c5f2ccc3775aebd3caccb302ea73883482e","abstract_canon_sha256":"0cf0dd37b349b782de50c0976f7b241a701dd202a431e2e1cc4efb90f1d765e5"},"schema_version":"1.0"},"canonical_sha256":"854a6f2b011466f95d09c87c46b01ef14453fc021ca4ef6bcde7560750f589da","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:08:32.204347Z","signature_b64":"LUmVlMY2wIwNnKt/UkgdoCJtMTHw8TowS2KuMj+fcV39keNdEfCgv5Vr0YZ2ru++xzJTdEBD5RDH/TjfzDlQBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"854a6f2b011466f95d09c87c46b01ef14453fc021ca4ef6bcde7560750f589da","last_reissued_at":"2026-05-18T00:08:32.203624Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:08:32.203624Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1808.02782","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":"2026-05-18T00:08:32Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"o7lo7ZhcDTFXFZBuYkm7bwHVjnwjjT4Dt9fTvWpgthMaZOf40VhwsbcuJicZdiQRmO28mIbGO4gjyQUNYw86DA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T20:48:49.677960Z"},"content_sha256":"b62e5ac9ad603dc7ca9c3dcb88c36db244d8606552d69ef81d5243e0d5279417","schema_version":"1.0","event_id":"sha256:b62e5ac9ad603dc7ca9c3dcb88c36db244d8606552d69ef81d5243e0d5279417"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:QVFG6KYBCRTPSXIJZB6ENMA66F","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Generically Computable Equivalence Structures and Isomorphisms","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.LO","authors_text":"Douglas Cenzer, Valentina Harizanov, Wesley Calvert","submitted_at":"2018-08-08T13:56:28Z","abstract_excerpt":"We define notions of generically and coarsely computable relations and structures and functions between structures. We investigate the existence and uniqueness of equivalence structures in the context of these definitions"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1808.02782","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":"2026-05-18T00:08:32Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"tlwcyKI4WaPUjvffNUX45hKp8zljiyvo49ZuxF6TPVpdVxS8n4/Mq7vo/2G3hfugnKlp8rWHhxgHw7ManphZBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T20:48:49.678307Z"},"content_sha256":"2d09483b20614d82837d26e6851fd35efa010990ab7e70c3d1f2eb3f3ac009d8","schema_version":"1.0","event_id":"sha256:2d09483b20614d82837d26e6851fd35efa010990ab7e70c3d1f2eb3f3ac009d8"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/QVFG6KYBCRTPSXIJZB6ENMA66F/bundle.json","state_url":"https://pith.science/pith/QVFG6KYBCRTPSXIJZB6ENMA66F/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/QVFG6KYBCRTPSXIJZB6ENMA66F/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":"2026-05-27T20:48:49Z","links":{"resolver":"https://pith.science/pith/QVFG6KYBCRTPSXIJZB6ENMA66F","bundle":"https://pith.science/pith/QVFG6KYBCRTPSXIJZB6ENMA66F/bundle.json","state":"https://pith.science/pith/QVFG6KYBCRTPSXIJZB6ENMA66F/state.json","well_known_bundle":"https://pith.science/.well-known/pith/QVFG6KYBCRTPSXIJZB6ENMA66F/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:QVFG6KYBCRTPSXIJZB6ENMA66F","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":"0cf0dd37b349b782de50c0976f7b241a701dd202a431e2e1cc4efb90f1d765e5","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.LO","submitted_at":"2018-08-08T13:56:28Z","title_canon_sha256":"7e2b1eb619de885cffb4f657e0686c5f2ccc3775aebd3caccb302ea73883482e"},"schema_version":"1.0","source":{"id":"1808.02782","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1808.02782","created_at":"2026-05-18T00:08:32Z"},{"alias_kind":"arxiv_version","alias_value":"1808.02782v1","created_at":"2026-05-18T00:08:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1808.02782","created_at":"2026-05-18T00:08:32Z"},{"alias_kind":"pith_short_12","alias_value":"QVFG6KYBCRTP","created_at":"2026-05-18T12:32:46Z"},{"alias_kind":"pith_short_16","alias_value":"QVFG6KYBCRTPSXIJ","created_at":"2026-05-18T12:32:46Z"},{"alias_kind":"pith_short_8","alias_value":"QVFG6KYB","created_at":"2026-05-18T12:32:46Z"}],"graph_snapshots":[{"event_id":"sha256:2d09483b20614d82837d26e6851fd35efa010990ab7e70c3d1f2eb3f3ac009d8","target":"graph","created_at":"2026-05-18T00:08:32Z","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 define notions of generically and coarsely computable relations and structures and functions between structures. We investigate the existence and uniqueness of equivalence structures in the context of these definitions","authors_text":"Douglas Cenzer, Valentina Harizanov, Wesley Calvert","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.LO","submitted_at":"2018-08-08T13:56:28Z","title":"Generically Computable Equivalence Structures and Isomorphisms"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1808.02782","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:b62e5ac9ad603dc7ca9c3dcb88c36db244d8606552d69ef81d5243e0d5279417","target":"record","created_at":"2026-05-18T00:08:32Z","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":"0cf0dd37b349b782de50c0976f7b241a701dd202a431e2e1cc4efb90f1d765e5","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.LO","submitted_at":"2018-08-08T13:56:28Z","title_canon_sha256":"7e2b1eb619de885cffb4f657e0686c5f2ccc3775aebd3caccb302ea73883482e"},"schema_version":"1.0","source":{"id":"1808.02782","kind":"arxiv","version":1}},"canonical_sha256":"854a6f2b011466f95d09c87c46b01ef14453fc021ca4ef6bcde7560750f589da","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"854a6f2b011466f95d09c87c46b01ef14453fc021ca4ef6bcde7560750f589da","first_computed_at":"2026-05-18T00:08:32.203624Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:08:32.203624Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"LUmVlMY2wIwNnKt/UkgdoCJtMTHw8TowS2KuMj+fcV39keNdEfCgv5Vr0YZ2ru++xzJTdEBD5RDH/TjfzDlQBg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:08:32.204347Z","signed_message":"canonical_sha256_bytes"},"source_id":"1808.02782","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b62e5ac9ad603dc7ca9c3dcb88c36db244d8606552d69ef81d5243e0d5279417","sha256:2d09483b20614d82837d26e6851fd35efa010990ab7e70c3d1f2eb3f3ac009d8"],"state_sha256":"babdfd247afc6ba61c7ad3aabfbb068c6e517ec1a7abe78c23228b81e17f1dc8"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"oa6FWutWEp3Ef3ajwTHsM9a/0vJluQqT9NVch46mN5iIzA0nCH3amt0rs3LcZHBk0dHEca/buWhEJR6UfQelCQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-27T20:48:49.680495Z","bundle_sha256":"e1b77bcdbfddcad83a5aa8b75791cf330a587bfc6232ff1346fa281ec5a1be71"}}