{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:JEWLJGZUUEKF7X7447JYVKLSBC","short_pith_number":"pith:JEWLJGZU","canonical_record":{"source":{"id":"1210.5583","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2012-10-20T06:43:56Z","cross_cats_sorted":[],"title_canon_sha256":"6c5101354aee4af73631bdaa6c035bc4ba4931f63def1cb9fa95966d7c5c1659","abstract_canon_sha256":"74118e94f686e7e33378c8086195c76771d18a83cb1a90ef55bed0092c7bfca8"},"schema_version":"1.0"},"canonical_sha256":"492cb49b34a1145fdffce7d38aa97208b2e03c174e7e7d709b1e06d19007d686","source":{"kind":"arxiv","id":"1210.5583","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1210.5583","created_at":"2026-05-18T03:42:43Z"},{"alias_kind":"arxiv_version","alias_value":"1210.5583v1","created_at":"2026-05-18T03:42:43Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1210.5583","created_at":"2026-05-18T03:42:43Z"},{"alias_kind":"pith_short_12","alias_value":"JEWLJGZUUEKF","created_at":"2026-05-18T12:27:11Z"},{"alias_kind":"pith_short_16","alias_value":"JEWLJGZUUEKF7X74","created_at":"2026-05-18T12:27:11Z"},{"alias_kind":"pith_short_8","alias_value":"JEWLJGZU","created_at":"2026-05-18T12:27:11Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:JEWLJGZUUEKF7X7447JYVKLSBC","target":"record","payload":{"canonical_record":{"source":{"id":"1210.5583","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2012-10-20T06:43:56Z","cross_cats_sorted":[],"title_canon_sha256":"6c5101354aee4af73631bdaa6c035bc4ba4931f63def1cb9fa95966d7c5c1659","abstract_canon_sha256":"74118e94f686e7e33378c8086195c76771d18a83cb1a90ef55bed0092c7bfca8"},"schema_version":"1.0"},"canonical_sha256":"492cb49b34a1145fdffce7d38aa97208b2e03c174e7e7d709b1e06d19007d686","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:42:43.593328Z","signature_b64":"TMHMFnCDj4JHCW05gqCRCuF+KLy2W56ZsOhYdncgyaTkAXJVix+yGB4PySx5LVWeHGaO7Gd88F9TOtD/D5SBCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"492cb49b34a1145fdffce7d38aa97208b2e03c174e7e7d709b1e06d19007d686","last_reissued_at":"2026-05-18T03:42:43.592680Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:42:43.592680Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1210.5583","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":"2026-05-18T03:42:43Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"KmpqiYB5VJgkiw/4pw4OJoC872+rbRnDek8pasDauS9Ca2KjxKPQ/RIKtmpgYuNs5KsCWf4riAW5IElXwCkuAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-10T05:13:29.878532Z"},"content_sha256":"d000e48e6c54be2ba4d510a566821a94d415383dd422d8e3a11a4e9b55f7fbe6","schema_version":"1.0","event_id":"sha256:d000e48e6c54be2ba4d510a566821a94d415383dd422d8e3a11a4e9b55f7fbe6"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:JEWLJGZUUEKF7X7447JYVKLSBC","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Virial masses of galaxy clusters in the post-Newtonian limit","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"Mahmood Roshan","submitted_at":"2012-10-20T06:43:56Z","abstract_excerpt":"We estimate virial masses of galaxy clusters using the parametrized post-Newtonian (PPN) virial theorem. Also, we show explicitly that post-Newtonian corrections can not address the mass discrepancy in the galaxy clusters."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1210.5583","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":"2026-05-18T03:42:43Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"QbCJLVRizU3tiss/fOIkt62WtSOi44hDoJXjmZzF7xfFh1VBMmejga0OrSBaCN1gT95eUTkO8hRJV3OsrzZkDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-10T05:13:29.879199Z"},"content_sha256":"829557b42b109598f12eb50d58a6d568d5ac69e44f390a9d119ff46a57179c2b","schema_version":"1.0","event_id":"sha256:829557b42b109598f12eb50d58a6d568d5ac69e44f390a9d119ff46a57179c2b"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/JEWLJGZUUEKF7X7447JYVKLSBC/bundle.json","state_url":"https://pith.science/pith/JEWLJGZUUEKF7X7447JYVKLSBC/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/JEWLJGZUUEKF7X7447JYVKLSBC/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":"2026-06-10T05:13:29Z","links":{"resolver":"https://pith.science/pith/JEWLJGZUUEKF7X7447JYVKLSBC","bundle":"https://pith.science/pith/JEWLJGZUUEKF7X7447JYVKLSBC/bundle.json","state":"https://pith.science/pith/JEWLJGZUUEKF7X7447JYVKLSBC/state.json","well_known_bundle":"https://pith.science/.well-known/pith/JEWLJGZUUEKF7X7447JYVKLSBC/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:JEWLJGZUUEKF7X7447JYVKLSBC","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":"74118e94f686e7e33378c8086195c76771d18a83cb1a90ef55bed0092c7bfca8","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2012-10-20T06:43:56Z","title_canon_sha256":"6c5101354aee4af73631bdaa6c035bc4ba4931f63def1cb9fa95966d7c5c1659"},"schema_version":"1.0","source":{"id":"1210.5583","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1210.5583","created_at":"2026-05-18T03:42:43Z"},{"alias_kind":"arxiv_version","alias_value":"1210.5583v1","created_at":"2026-05-18T03:42:43Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1210.5583","created_at":"2026-05-18T03:42:43Z"},{"alias_kind":"pith_short_12","alias_value":"JEWLJGZUUEKF","created_at":"2026-05-18T12:27:11Z"},{"alias_kind":"pith_short_16","alias_value":"JEWLJGZUUEKF7X74","created_at":"2026-05-18T12:27:11Z"},{"alias_kind":"pith_short_8","alias_value":"JEWLJGZU","created_at":"2026-05-18T12:27:11Z"}],"graph_snapshots":[{"event_id":"sha256:829557b42b109598f12eb50d58a6d568d5ac69e44f390a9d119ff46a57179c2b","target":"graph","created_at":"2026-05-18T03:42:43Z","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 estimate virial masses of galaxy clusters using the parametrized post-Newtonian (PPN) virial theorem. Also, we show explicitly that post-Newtonian corrections can not address the mass discrepancy in the galaxy clusters.","authors_text":"Mahmood Roshan","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2012-10-20T06:43:56Z","title":"Virial masses of galaxy clusters in the post-Newtonian limit"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1210.5583","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:d000e48e6c54be2ba4d510a566821a94d415383dd422d8e3a11a4e9b55f7fbe6","target":"record","created_at":"2026-05-18T03:42:43Z","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":"74118e94f686e7e33378c8086195c76771d18a83cb1a90ef55bed0092c7bfca8","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2012-10-20T06:43:56Z","title_canon_sha256":"6c5101354aee4af73631bdaa6c035bc4ba4931f63def1cb9fa95966d7c5c1659"},"schema_version":"1.0","source":{"id":"1210.5583","kind":"arxiv","version":1}},"canonical_sha256":"492cb49b34a1145fdffce7d38aa97208b2e03c174e7e7d709b1e06d19007d686","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"492cb49b34a1145fdffce7d38aa97208b2e03c174e7e7d709b1e06d19007d686","first_computed_at":"2026-05-18T03:42:43.592680Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:42:43.592680Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"TMHMFnCDj4JHCW05gqCRCuF+KLy2W56ZsOhYdncgyaTkAXJVix+yGB4PySx5LVWeHGaO7Gd88F9TOtD/D5SBCg==","signature_status":"signed_v1","signed_at":"2026-05-18T03:42:43.593328Z","signed_message":"canonical_sha256_bytes"},"source_id":"1210.5583","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d000e48e6c54be2ba4d510a566821a94d415383dd422d8e3a11a4e9b55f7fbe6","sha256:829557b42b109598f12eb50d58a6d568d5ac69e44f390a9d119ff46a57179c2b"],"state_sha256":"3deeb3bea84ea097fa3698618ee883bab4d9b879c3537e4c91bc825f78d8c187"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"J08pyirGhjJjTkRX4aZtLne2Hgu27kWoTHeuckzpejFL8Wt79tay57cqVGR4elDfKCwbx29HLUMcc4ibzS/cBw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-10T05:13:29.884043Z","bundle_sha256":"e9be6928a8bb25386fddb49c943e5ad3ca5da5a1b8faaed7a55cffe158ce5eee"}}