{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2010:APFW7RDLNZMFZDKQDZ7ZUMJIUI","short_pith_number":"pith:APFW7RDL","canonical_record":{"source":{"id":"1002.3399","kind":"arxiv","version":5},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2010-02-18T05:39:46Z","cross_cats_sorted":["astro-ph.SR"],"title_canon_sha256":"debf95951e42a16264b3196664cf8210ebcb70b4cdfc8d060405f81aece2aa67","abstract_canon_sha256":"3337c2ccb9dfc444c5ca1c9d1899a32d72ef306cd120a630349880810710a768"},"schema_version":"1.0"},"canonical_sha256":"03cb6fc46b6e585c8d501e7f9a3128a202ddbf30e71f71a5434f4b9b9def3c89","source":{"kind":"arxiv","id":"1002.3399","version":5},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1002.3399","created_at":"2026-05-18T03:44:02Z"},{"alias_kind":"arxiv_version","alias_value":"1002.3399v5","created_at":"2026-05-18T03:44:02Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1002.3399","created_at":"2026-05-18T03:44:02Z"},{"alias_kind":"pith_short_12","alias_value":"APFW7RDLNZMF","created_at":"2026-05-18T12:26:05Z"},{"alias_kind":"pith_short_16","alias_value":"APFW7RDLNZMFZDKQ","created_at":"2026-05-18T12:26:05Z"},{"alias_kind":"pith_short_8","alias_value":"APFW7RDL","created_at":"2026-05-18T12:26:05Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2010:APFW7RDLNZMFZDKQDZ7ZUMJIUI","target":"record","payload":{"canonical_record":{"source":{"id":"1002.3399","kind":"arxiv","version":5},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2010-02-18T05:39:46Z","cross_cats_sorted":["astro-ph.SR"],"title_canon_sha256":"debf95951e42a16264b3196664cf8210ebcb70b4cdfc8d060405f81aece2aa67","abstract_canon_sha256":"3337c2ccb9dfc444c5ca1c9d1899a32d72ef306cd120a630349880810710a768"},"schema_version":"1.0"},"canonical_sha256":"03cb6fc46b6e585c8d501e7f9a3128a202ddbf30e71f71a5434f4b9b9def3c89","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:44:02.992528Z","signature_b64":"89nJw+RyhNQOny/8HfsOnbYYlfCpn4tBnIBimdVELESepP/65X7pVuwWAKc5ZYXJ8s0jYqyzfG0rqIxEmAWgDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"03cb6fc46b6e585c8d501e7f9a3128a202ddbf30e71f71a5434f4b9b9def3c89","last_reissued_at":"2026-05-18T03:44:02.991885Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:44:02.991885Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1002.3399","source_version":5,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T03:44:02Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"xRfSLd0c7DpLl7kuqcuMnLwkZL3MdVTo+fK35kBW0YpP203wEPQQX3svd3bL25wViOeHMj087FikFMd839p7Bg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-24T18:54:18.565362Z"},"content_sha256":"e8c3077a050dfa8c316d898c39535cf27c5f77a4745dcc5a74add06e9308cb53","schema_version":"1.0","event_id":"sha256:e8c3077a050dfa8c316d898c39535cf27c5f77a4745dcc5a74add06e9308cb53"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2010:APFW7RDLNZMFZDKQDZ7ZUMJIUI","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Strong Field of Binary Systems And Its Effects On Pulsar Arrival Times","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["astro-ph.SR"],"primary_cat":"gr-qc","authors_text":"M. I. Wanas, N. S. Awadalla, W. S. El Hanafy","submitted_at":"2010-02-18T05:39:46Z","abstract_excerpt":"In the present work, the exact solution of Einstein's field equations which has been given by Curzon in 1924 representing the field of a static binary system is reviewed. An adapted version of this solution is obtained to describe a dynamical binaries in a rotating coordinate system. It is shown that this version of the solution is time-dependent. It reduces to the later one in the static case if the rotation goes to zero. The original Curzon solution shows that there are two singularities at the two masses, while in the modified version the singularities become on the world-line of the two ma"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1002.3399","kind":"arxiv","version":5},"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":"2026-05-18T03:44:02Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"/afVZTBlncGzyri1pdCgUCE+sPta8FEpkjjSiIdIRtcNUuy6N9floNIrSvmrPhRiL8poSGsVWCcnzTqqWRxNCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-24T18:54:18.565736Z"},"content_sha256":"0541965c2801b67f7664901387ba1faabf75a4e6013cddfc57d84a85f70a523a","schema_version":"1.0","event_id":"sha256:0541965c2801b67f7664901387ba1faabf75a4e6013cddfc57d84a85f70a523a"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/APFW7RDLNZMFZDKQDZ7ZUMJIUI/bundle.json","state_url":"https://pith.science/pith/APFW7RDLNZMFZDKQDZ7ZUMJIUI/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/APFW7RDLNZMFZDKQDZ7ZUMJIUI/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":"2026-06-24T18:54:18Z","links":{"resolver":"https://pith.science/pith/APFW7RDLNZMFZDKQDZ7ZUMJIUI","bundle":"https://pith.science/pith/APFW7RDLNZMFZDKQDZ7ZUMJIUI/bundle.json","state":"https://pith.science/pith/APFW7RDLNZMFZDKQDZ7ZUMJIUI/state.json","well_known_bundle":"https://pith.science/.well-known/pith/APFW7RDLNZMFZDKQDZ7ZUMJIUI/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:APFW7RDLNZMFZDKQDZ7ZUMJIUI","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":"3337c2ccb9dfc444c5ca1c9d1899a32d72ef306cd120a630349880810710a768","cross_cats_sorted":["astro-ph.SR"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2010-02-18T05:39:46Z","title_canon_sha256":"debf95951e42a16264b3196664cf8210ebcb70b4cdfc8d060405f81aece2aa67"},"schema_version":"1.0","source":{"id":"1002.3399","kind":"arxiv","version":5}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1002.3399","created_at":"2026-05-18T03:44:02Z"},{"alias_kind":"arxiv_version","alias_value":"1002.3399v5","created_at":"2026-05-18T03:44:02Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1002.3399","created_at":"2026-05-18T03:44:02Z"},{"alias_kind":"pith_short_12","alias_value":"APFW7RDLNZMF","created_at":"2026-05-18T12:26:05Z"},{"alias_kind":"pith_short_16","alias_value":"APFW7RDLNZMFZDKQ","created_at":"2026-05-18T12:26:05Z"},{"alias_kind":"pith_short_8","alias_value":"APFW7RDL","created_at":"2026-05-18T12:26:05Z"}],"graph_snapshots":[{"event_id":"sha256:0541965c2801b67f7664901387ba1faabf75a4e6013cddfc57d84a85f70a523a","target":"graph","created_at":"2026-05-18T03:44:02Z","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":"In the present work, the exact solution of Einstein's field equations which has been given by Curzon in 1924 representing the field of a static binary system is reviewed. An adapted version of this solution is obtained to describe a dynamical binaries in a rotating coordinate system. It is shown that this version of the solution is time-dependent. It reduces to the later one in the static case if the rotation goes to zero. The original Curzon solution shows that there are two singularities at the two masses, while in the modified version the singularities become on the world-line of the two ma","authors_text":"M. I. Wanas, N. S. Awadalla, W. S. El Hanafy","cross_cats":["astro-ph.SR"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2010-02-18T05:39:46Z","title":"Strong Field of Binary Systems And Its Effects On Pulsar Arrival Times"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1002.3399","kind":"arxiv","version":5},"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:e8c3077a050dfa8c316d898c39535cf27c5f77a4745dcc5a74add06e9308cb53","target":"record","created_at":"2026-05-18T03:44:02Z","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":"3337c2ccb9dfc444c5ca1c9d1899a32d72ef306cd120a630349880810710a768","cross_cats_sorted":["astro-ph.SR"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2010-02-18T05:39:46Z","title_canon_sha256":"debf95951e42a16264b3196664cf8210ebcb70b4cdfc8d060405f81aece2aa67"},"schema_version":"1.0","source":{"id":"1002.3399","kind":"arxiv","version":5}},"canonical_sha256":"03cb6fc46b6e585c8d501e7f9a3128a202ddbf30e71f71a5434f4b9b9def3c89","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"03cb6fc46b6e585c8d501e7f9a3128a202ddbf30e71f71a5434f4b9b9def3c89","first_computed_at":"2026-05-18T03:44:02.991885Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:44:02.991885Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"89nJw+RyhNQOny/8HfsOnbYYlfCpn4tBnIBimdVELESepP/65X7pVuwWAKc5ZYXJ8s0jYqyzfG0rqIxEmAWgDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T03:44:02.992528Z","signed_message":"canonical_sha256_bytes"},"source_id":"1002.3399","source_kind":"arxiv","source_version":5}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e8c3077a050dfa8c316d898c39535cf27c5f77a4745dcc5a74add06e9308cb53","sha256:0541965c2801b67f7664901387ba1faabf75a4e6013cddfc57d84a85f70a523a"],"state_sha256":"3a3402c20400b06b7b4304a0cede10c319e1953276fc9253eefa4b33c15ac909"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"uFfTdgxNUdyWSelWh392PEF8flyvZp3GZwnIWoQW2dvxXUlLW/ezc6IEo1i1cRzro/sKyOB7Ft3C2pw/1jQoBA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-24T18:54:18.567771Z","bundle_sha256":"451e6d42c3502163c5a7cb2f97d12553515d72e37d70794843c4b526b2772521"}}