{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2009:BJZ7UDA7MCQALLQJPOGAZ3DZTF","short_pith_number":"pith:BJZ7UDA7","canonical_record":{"source":{"id":"0906.5057","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2009-06-27T09:50:58Z","cross_cats_sorted":["math.AT"],"title_canon_sha256":"e94af9f24de427466af7d474b5a96fc9956119aaeeb857d6ca17a151ae0bfbc3","abstract_canon_sha256":"09fd06b63cba8bd00cb1950190209be6042982df89d848df78925d9702a781e0"},"schema_version":"1.0"},"canonical_sha256":"0a73fa0c1f60a005ae097b8c0cec7999531b99295b239cb7ab480ba8f297588f","source":{"kind":"arxiv","id":"0906.5057","version":4},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0906.5057","created_at":"2026-05-18T03:34:12Z"},{"alias_kind":"arxiv_version","alias_value":"0906.5057v4","created_at":"2026-05-18T03:34:12Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0906.5057","created_at":"2026-05-18T03:34:12Z"},{"alias_kind":"pith_short_12","alias_value":"BJZ7UDA7MCQA","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_16","alias_value":"BJZ7UDA7MCQALLQJ","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_8","alias_value":"BJZ7UDA7","created_at":"2026-05-18T12:25:58Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2009:BJZ7UDA7MCQALLQJPOGAZ3DZTF","target":"record","payload":{"canonical_record":{"source":{"id":"0906.5057","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2009-06-27T09:50:58Z","cross_cats_sorted":["math.AT"],"title_canon_sha256":"e94af9f24de427466af7d474b5a96fc9956119aaeeb857d6ca17a151ae0bfbc3","abstract_canon_sha256":"09fd06b63cba8bd00cb1950190209be6042982df89d848df78925d9702a781e0"},"schema_version":"1.0"},"canonical_sha256":"0a73fa0c1f60a005ae097b8c0cec7999531b99295b239cb7ab480ba8f297588f","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:34:12.484343Z","signature_b64":"ZsxIYIDadvFHwad/deTqfnX4DSp2gqAV3WcLT8pROKL9RPGl3zQRsV3KtLy2UCGOlCpj8+ABw5sCMAlBk7g1BA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0a73fa0c1f60a005ae097b8c0cec7999531b99295b239cb7ab480ba8f297588f","last_reissued_at":"2026-05-18T03:34:12.483861Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:34:12.483861Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"0906.5057","source_version":4,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T03:34:12Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"gWUFXL+IjQVx/EJMkS0XNvdAT5Opa7hVAbIWwdsxbzScaStSYyBeD1vj1Rw87NE+uf6V7bn3PIkrwplYimEWCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-07T23:05:43.332979Z"},"content_sha256":"5577b90f1af41193704a8bee0f2bc57605a220a2e378829db5d1f5cb4995722c","schema_version":"1.0","event_id":"sha256:5577b90f1af41193704a8bee0f2bc57605a220a2e378829db5d1f5cb4995722c"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2009:BJZ7UDA7MCQALLQJPOGAZ3DZTF","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Conjugation spaces and 4-manifolds","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AT"],"primary_cat":"math.GT","authors_text":"Ian Hambleton, Jean-Claude Hausmann","submitted_at":"2009-06-27T09:50:58Z","abstract_excerpt":"We show that 4-dimensional conjugation manifolds are all obtained from branched 2-fold coverings of knotted surfaces in Z/2-homology 4-spheres."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0906.5057","kind":"arxiv","version":4},"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":"2026-05-18T03:34:12Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"5jZm4nr8tSE6NaTffKRMeSOxu2R0/SoYJSjt3sNkLJ6+2g4H0c46rsbLCaCLtD51j/Yly+L2TVcKkb7I9DmhBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-07T23:05:43.333602Z"},"content_sha256":"1ae09dcceff8a5f7959c501f4bd3d5e4ed73fe424130bd0ea1a8092a8952ed39","schema_version":"1.0","event_id":"sha256:1ae09dcceff8a5f7959c501f4bd3d5e4ed73fe424130bd0ea1a8092a8952ed39"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/BJZ7UDA7MCQALLQJPOGAZ3DZTF/bundle.json","state_url":"https://pith.science/pith/BJZ7UDA7MCQALLQJPOGAZ3DZTF/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/BJZ7UDA7MCQALLQJPOGAZ3DZTF/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":"2026-06-07T23:05:43Z","links":{"resolver":"https://pith.science/pith/BJZ7UDA7MCQALLQJPOGAZ3DZTF","bundle":"https://pith.science/pith/BJZ7UDA7MCQALLQJPOGAZ3DZTF/bundle.json","state":"https://pith.science/pith/BJZ7UDA7MCQALLQJPOGAZ3DZTF/state.json","well_known_bundle":"https://pith.science/.well-known/pith/BJZ7UDA7MCQALLQJPOGAZ3DZTF/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2009:BJZ7UDA7MCQALLQJPOGAZ3DZTF","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":"09fd06b63cba8bd00cb1950190209be6042982df89d848df78925d9702a781e0","cross_cats_sorted":["math.AT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2009-06-27T09:50:58Z","title_canon_sha256":"e94af9f24de427466af7d474b5a96fc9956119aaeeb857d6ca17a151ae0bfbc3"},"schema_version":"1.0","source":{"id":"0906.5057","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0906.5057","created_at":"2026-05-18T03:34:12Z"},{"alias_kind":"arxiv_version","alias_value":"0906.5057v4","created_at":"2026-05-18T03:34:12Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0906.5057","created_at":"2026-05-18T03:34:12Z"},{"alias_kind":"pith_short_12","alias_value":"BJZ7UDA7MCQA","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_16","alias_value":"BJZ7UDA7MCQALLQJ","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_8","alias_value":"BJZ7UDA7","created_at":"2026-05-18T12:25:58Z"}],"graph_snapshots":[{"event_id":"sha256:1ae09dcceff8a5f7959c501f4bd3d5e4ed73fe424130bd0ea1a8092a8952ed39","target":"graph","created_at":"2026-05-18T03:34:12Z","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 show that 4-dimensional conjugation manifolds are all obtained from branched 2-fold coverings of knotted surfaces in Z/2-homology 4-spheres.","authors_text":"Ian Hambleton, Jean-Claude Hausmann","cross_cats":["math.AT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2009-06-27T09:50:58Z","title":"Conjugation spaces and 4-manifolds"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0906.5057","kind":"arxiv","version":4},"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":"sha256:5577b90f1af41193704a8bee0f2bc57605a220a2e378829db5d1f5cb4995722c","target":"record","created_at":"2026-05-18T03:34:12Z","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":"09fd06b63cba8bd00cb1950190209be6042982df89d848df78925d9702a781e0","cross_cats_sorted":["math.AT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2009-06-27T09:50:58Z","title_canon_sha256":"e94af9f24de427466af7d474b5a96fc9956119aaeeb857d6ca17a151ae0bfbc3"},"schema_version":"1.0","source":{"id":"0906.5057","kind":"arxiv","version":4}},"canonical_sha256":"0a73fa0c1f60a005ae097b8c0cec7999531b99295b239cb7ab480ba8f297588f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0a73fa0c1f60a005ae097b8c0cec7999531b99295b239cb7ab480ba8f297588f","first_computed_at":"2026-05-18T03:34:12.483861Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:34:12.483861Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ZsxIYIDadvFHwad/deTqfnX4DSp2gqAV3WcLT8pROKL9RPGl3zQRsV3KtLy2UCGOlCpj8+ABw5sCMAlBk7g1BA==","signature_status":"signed_v1","signed_at":"2026-05-18T03:34:12.484343Z","signed_message":"canonical_sha256_bytes"},"source_id":"0906.5057","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5577b90f1af41193704a8bee0f2bc57605a220a2e378829db5d1f5cb4995722c","sha256:1ae09dcceff8a5f7959c501f4bd3d5e4ed73fe424130bd0ea1a8092a8952ed39"],"state_sha256":"10d6fa46150ca825aa27a27356d1edbb075cec1d40ff076cb140e2780ec1754d"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"41fqGpt//YLM71EhZvYjKU1e+eIX3wXUNQzyxwP+VSet9s/m3+N7/BazHtoSBlcNax0HSrwjjV+hqZWDJLVlAw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-07T23:05:43.337204Z","bundle_sha256":"76300e8bea334abcaa1de0c6d24014b0ea2922d1d2f80ae87ac50ee6dc4fda58"}}