{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:RYNH3OJP56AXXWPJ4LLMNODEMH","short_pith_number":"pith:RYNH3OJP","canonical_record":{"source":{"id":"1209.0361","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2012-09-03T14:05:14Z","cross_cats_sorted":[],"title_canon_sha256":"06b689fcfbf8406d165b121d1fd926f904c4a7699e9fdb33d9f3663b4cb1f553","abstract_canon_sha256":"01eb6c0e56fa3e5e9fe37fd8000f8ec2ffb581b5d5335a517b4f29a32028b00c"},"schema_version":"1.0"},"canonical_sha256":"8e1a7db92fef817bd9e9e2d6c6b86461e9b74312c93d84f61d14db741c199af1","source":{"kind":"arxiv","id":"1209.0361","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1209.0361","created_at":"2026-05-18T03:35:53Z"},{"alias_kind":"arxiv_version","alias_value":"1209.0361v2","created_at":"2026-05-18T03:35:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1209.0361","created_at":"2026-05-18T03:35:53Z"},{"alias_kind":"pith_short_12","alias_value":"RYNH3OJP56AX","created_at":"2026-05-18T12:27:20Z"},{"alias_kind":"pith_short_16","alias_value":"RYNH3OJP56AXXWPJ","created_at":"2026-05-18T12:27:20Z"},{"alias_kind":"pith_short_8","alias_value":"RYNH3OJP","created_at":"2026-05-18T12:27:20Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:RYNH3OJP56AXXWPJ4LLMNODEMH","target":"record","payload":{"canonical_record":{"source":{"id":"1209.0361","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2012-09-03T14:05:14Z","cross_cats_sorted":[],"title_canon_sha256":"06b689fcfbf8406d165b121d1fd926f904c4a7699e9fdb33d9f3663b4cb1f553","abstract_canon_sha256":"01eb6c0e56fa3e5e9fe37fd8000f8ec2ffb581b5d5335a517b4f29a32028b00c"},"schema_version":"1.0"},"canonical_sha256":"8e1a7db92fef817bd9e9e2d6c6b86461e9b74312c93d84f61d14db741c199af1","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:35:53.941761Z","signature_b64":"tJcLcRW7ITavDNB4/3/OEMZf9T3dEpldJ9lbAqjGbVgJ7wu5p21u7YYpCsjExsSnSQJjAIQR16zwSNLr1Br3CA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8e1a7db92fef817bd9e9e2d6c6b86461e9b74312c93d84f61d14db741c199af1","last_reissued_at":"2026-05-18T03:35:53.940927Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:35:53.940927Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1209.0361","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":"2026-05-18T03:35:53Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"g3iXaXisHsAj/K73k7HQUmx8wtNcPoInJNL1/oSzts3eYArDM6LQ3JDJc12uFVJj/il815dB7p9MhvX+WtmqAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-25T08:09:07.426553Z"},"content_sha256":"d3f64ff7191f7c2568fe28e513c4ccbd86f30ba91fe0de9c3e1020b5ef4413d8","schema_version":"1.0","event_id":"sha256:d3f64ff7191f7c2568fe28e513c4ccbd86f30ba91fe0de9c3e1020b5ef4413d8"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:RYNH3OJP56AXXWPJ4LLMNODEMH","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Annulus twist and diffeomorphic 4-manifolds","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.GT","authors_text":"In Dae Jong, Masanori Takeuchi, Tetsuya Abe, Yuka Omae","submitted_at":"2012-09-03T14:05:14Z","abstract_excerpt":"We give a method for obtaining infinitely many framed knots which represent a diffeomorphic 4-manifold. We also study a relationship between the $n$-shake genus and the 4-ball genus of a knot. Furthermore we give a construction of homotopy 4-spheres from a slice knot with unknotting number one."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1209.0361","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":"2026-05-18T03:35:53Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Sb693a77XSkXEgA0aNYKs+qZlXp7rsuqJl3xTz+Owwj77/rQ7U6GU6BWnvSQDNBUP/aoDvROXbIcZEk7tCWVDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-25T08:09:07.426893Z"},"content_sha256":"d6d355777a5e7280cccb86d472a843443e91be7af2443efe9fd62708f66b876b","schema_version":"1.0","event_id":"sha256:d6d355777a5e7280cccb86d472a843443e91be7af2443efe9fd62708f66b876b"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/RYNH3OJP56AXXWPJ4LLMNODEMH/bundle.json","state_url":"https://pith.science/pith/RYNH3OJP56AXXWPJ4LLMNODEMH/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/RYNH3OJP56AXXWPJ4LLMNODEMH/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":"2026-06-25T08:09:07Z","links":{"resolver":"https://pith.science/pith/RYNH3OJP56AXXWPJ4LLMNODEMH","bundle":"https://pith.science/pith/RYNH3OJP56AXXWPJ4LLMNODEMH/bundle.json","state":"https://pith.science/pith/RYNH3OJP56AXXWPJ4LLMNODEMH/state.json","well_known_bundle":"https://pith.science/.well-known/pith/RYNH3OJP56AXXWPJ4LLMNODEMH/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:RYNH3OJP56AXXWPJ4LLMNODEMH","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":"01eb6c0e56fa3e5e9fe37fd8000f8ec2ffb581b5d5335a517b4f29a32028b00c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2012-09-03T14:05:14Z","title_canon_sha256":"06b689fcfbf8406d165b121d1fd926f904c4a7699e9fdb33d9f3663b4cb1f553"},"schema_version":"1.0","source":{"id":"1209.0361","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1209.0361","created_at":"2026-05-18T03:35:53Z"},{"alias_kind":"arxiv_version","alias_value":"1209.0361v2","created_at":"2026-05-18T03:35:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1209.0361","created_at":"2026-05-18T03:35:53Z"},{"alias_kind":"pith_short_12","alias_value":"RYNH3OJP56AX","created_at":"2026-05-18T12:27:20Z"},{"alias_kind":"pith_short_16","alias_value":"RYNH3OJP56AXXWPJ","created_at":"2026-05-18T12:27:20Z"},{"alias_kind":"pith_short_8","alias_value":"RYNH3OJP","created_at":"2026-05-18T12:27:20Z"}],"graph_snapshots":[{"event_id":"sha256:d6d355777a5e7280cccb86d472a843443e91be7af2443efe9fd62708f66b876b","target":"graph","created_at":"2026-05-18T03:35:53Z","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 give a method for obtaining infinitely many framed knots which represent a diffeomorphic 4-manifold. We also study a relationship between the $n$-shake genus and the 4-ball genus of a knot. Furthermore we give a construction of homotopy 4-spheres from a slice knot with unknotting number one.","authors_text":"In Dae Jong, Masanori Takeuchi, Tetsuya Abe, Yuka Omae","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2012-09-03T14:05:14Z","title":"Annulus twist and diffeomorphic 4-manifolds"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1209.0361","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:d3f64ff7191f7c2568fe28e513c4ccbd86f30ba91fe0de9c3e1020b5ef4413d8","target":"record","created_at":"2026-05-18T03:35:53Z","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":"01eb6c0e56fa3e5e9fe37fd8000f8ec2ffb581b5d5335a517b4f29a32028b00c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2012-09-03T14:05:14Z","title_canon_sha256":"06b689fcfbf8406d165b121d1fd926f904c4a7699e9fdb33d9f3663b4cb1f553"},"schema_version":"1.0","source":{"id":"1209.0361","kind":"arxiv","version":2}},"canonical_sha256":"8e1a7db92fef817bd9e9e2d6c6b86461e9b74312c93d84f61d14db741c199af1","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8e1a7db92fef817bd9e9e2d6c6b86461e9b74312c93d84f61d14db741c199af1","first_computed_at":"2026-05-18T03:35:53.940927Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:35:53.940927Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"tJcLcRW7ITavDNB4/3/OEMZf9T3dEpldJ9lbAqjGbVgJ7wu5p21u7YYpCsjExsSnSQJjAIQR16zwSNLr1Br3CA==","signature_status":"signed_v1","signed_at":"2026-05-18T03:35:53.941761Z","signed_message":"canonical_sha256_bytes"},"source_id":"1209.0361","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d3f64ff7191f7c2568fe28e513c4ccbd86f30ba91fe0de9c3e1020b5ef4413d8","sha256:d6d355777a5e7280cccb86d472a843443e91be7af2443efe9fd62708f66b876b"],"state_sha256":"ad206c0d6f4ae2f81dd3d5b63c80223ec45fde9bebec2442b0e4a516d094511d"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Bj7aKoSOUGbktTjymv+8sabdWA3H7GdOt+3Ll+u488cxwxHz50Rut13Frka2L4qsspy2fuBqWwqrYeVL3w9tBQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-25T08:09:07.428785Z","bundle_sha256":"0b0c69fb5a51d894c12a3532b6ebb8d3107300c9b5cc49c882b2dec7750130ea"}}