{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:Z3PN54GWEA2YDSD42ZCBHKYEFL","short_pith_number":"pith:Z3PN54GW","canonical_record":{"source":{"id":"1208.3184","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2012-08-15T19:30:35Z","cross_cats_sorted":[],"title_canon_sha256":"44b5cd45d0968d08252d8873a0e5e35de56c3a70d9f00543c3f5069ef154afca","abstract_canon_sha256":"22c6c13b5568251b508f0af6b35d2014465675a03ba93d2893d893c50f102c4b"},"schema_version":"1.0"},"canonical_sha256":"cededef0d6203581c87cd64413ab042affb03d1a4833d048a04709c9b47c0ca3","source":{"kind":"arxiv","id":"1208.3184","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1208.3184","created_at":"2026-05-18T03:43:17Z"},{"alias_kind":"arxiv_version","alias_value":"1208.3184v1","created_at":"2026-05-18T03:43:17Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1208.3184","created_at":"2026-05-18T03:43:17Z"},{"alias_kind":"pith_short_12","alias_value":"Z3PN54GWEA2Y","created_at":"2026-05-18T12:27:30Z"},{"alias_kind":"pith_short_16","alias_value":"Z3PN54GWEA2YDSD4","created_at":"2026-05-18T12:27:30Z"},{"alias_kind":"pith_short_8","alias_value":"Z3PN54GW","created_at":"2026-05-18T12:27:30Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:Z3PN54GWEA2YDSD42ZCBHKYEFL","target":"record","payload":{"canonical_record":{"source":{"id":"1208.3184","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2012-08-15T19:30:35Z","cross_cats_sorted":[],"title_canon_sha256":"44b5cd45d0968d08252d8873a0e5e35de56c3a70d9f00543c3f5069ef154afca","abstract_canon_sha256":"22c6c13b5568251b508f0af6b35d2014465675a03ba93d2893d893c50f102c4b"},"schema_version":"1.0"},"canonical_sha256":"cededef0d6203581c87cd64413ab042affb03d1a4833d048a04709c9b47c0ca3","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:43:17.878519Z","signature_b64":"8vDLtaUu8Zo2JZnVDpbLpIOMSo6Hf5teyVn0XMjOmRMyIrW6e7uqOO5mWKBOf/vT2FHy7OlqKiIRFN1F9xtqDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"cededef0d6203581c87cd64413ab042affb03d1a4833d048a04709c9b47c0ca3","last_reissued_at":"2026-05-18T03:43:17.878038Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:43:17.878038Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1208.3184","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":"2026-05-18T03:43:17Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"c7DuEEcXTOYlQ6g36OlF4gFeCDVcUCNQOXJpITfFop6o/1jx0GdigdCoZK3Br8P39E++pJCktUesD6a4sUYzBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-10T01:33:45.526880Z"},"content_sha256":"25a7261bcf3475a89d496792c248a5063a087bdeb9e916ac77829bb0263db2e1","schema_version":"1.0","event_id":"sha256:25a7261bcf3475a89d496792c248a5063a087bdeb9e916ac77829bb0263db2e1"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:Z3PN54GWEA2YDSD42ZCBHKYEFL","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Parametrized post-Newtonian virial theorem","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"Mahmood Roshan","submitted_at":"2012-08-15T19:30:35Z","abstract_excerpt":"Using the parametrized post-Newtonian equations of hydrodynamics, we derive the tensor form of the parametrized post-Newtonian virial theorem."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1208.3184","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":"2026-05-18T03:43:17Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"b1qMckRkoQjI/nf2ZgI+Khv6CnwrKIvtFxnBm5cvHVWHjHhkkzP9BxM2ifIHyyS4ceAzgIURvJiF+eyjGoVRBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-10T01:33:45.527649Z"},"content_sha256":"e9661c3dbcb50ea94a4c7d38c91c7a3ed30ed7fba3baf525668dd4af2cff560b","schema_version":"1.0","event_id":"sha256:e9661c3dbcb50ea94a4c7d38c91c7a3ed30ed7fba3baf525668dd4af2cff560b"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/Z3PN54GWEA2YDSD42ZCBHKYEFL/bundle.json","state_url":"https://pith.science/pith/Z3PN54GWEA2YDSD42ZCBHKYEFL/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/Z3PN54GWEA2YDSD42ZCBHKYEFL/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":"2026-06-10T01:33:45Z","links":{"resolver":"https://pith.science/pith/Z3PN54GWEA2YDSD42ZCBHKYEFL","bundle":"https://pith.science/pith/Z3PN54GWEA2YDSD42ZCBHKYEFL/bundle.json","state":"https://pith.science/pith/Z3PN54GWEA2YDSD42ZCBHKYEFL/state.json","well_known_bundle":"https://pith.science/.well-known/pith/Z3PN54GWEA2YDSD42ZCBHKYEFL/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:Z3PN54GWEA2YDSD42ZCBHKYEFL","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":"22c6c13b5568251b508f0af6b35d2014465675a03ba93d2893d893c50f102c4b","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2012-08-15T19:30:35Z","title_canon_sha256":"44b5cd45d0968d08252d8873a0e5e35de56c3a70d9f00543c3f5069ef154afca"},"schema_version":"1.0","source":{"id":"1208.3184","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1208.3184","created_at":"2026-05-18T03:43:17Z"},{"alias_kind":"arxiv_version","alias_value":"1208.3184v1","created_at":"2026-05-18T03:43:17Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1208.3184","created_at":"2026-05-18T03:43:17Z"},{"alias_kind":"pith_short_12","alias_value":"Z3PN54GWEA2Y","created_at":"2026-05-18T12:27:30Z"},{"alias_kind":"pith_short_16","alias_value":"Z3PN54GWEA2YDSD4","created_at":"2026-05-18T12:27:30Z"},{"alias_kind":"pith_short_8","alias_value":"Z3PN54GW","created_at":"2026-05-18T12:27:30Z"}],"graph_snapshots":[{"event_id":"sha256:e9661c3dbcb50ea94a4c7d38c91c7a3ed30ed7fba3baf525668dd4af2cff560b","target":"graph","created_at":"2026-05-18T03:43:17Z","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":"Using the parametrized post-Newtonian equations of hydrodynamics, we derive the tensor form of the parametrized post-Newtonian virial theorem.","authors_text":"Mahmood Roshan","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2012-08-15T19:30:35Z","title":"Parametrized post-Newtonian virial theorem"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1208.3184","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":"sha256:25a7261bcf3475a89d496792c248a5063a087bdeb9e916ac77829bb0263db2e1","target":"record","created_at":"2026-05-18T03:43:17Z","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":"22c6c13b5568251b508f0af6b35d2014465675a03ba93d2893d893c50f102c4b","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2012-08-15T19:30:35Z","title_canon_sha256":"44b5cd45d0968d08252d8873a0e5e35de56c3a70d9f00543c3f5069ef154afca"},"schema_version":"1.0","source":{"id":"1208.3184","kind":"arxiv","version":1}},"canonical_sha256":"cededef0d6203581c87cd64413ab042affb03d1a4833d048a04709c9b47c0ca3","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"cededef0d6203581c87cd64413ab042affb03d1a4833d048a04709c9b47c0ca3","first_computed_at":"2026-05-18T03:43:17.878038Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:43:17.878038Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"8vDLtaUu8Zo2JZnVDpbLpIOMSo6Hf5teyVn0XMjOmRMyIrW6e7uqOO5mWKBOf/vT2FHy7OlqKiIRFN1F9xtqDw==","signature_status":"signed_v1","signed_at":"2026-05-18T03:43:17.878519Z","signed_message":"canonical_sha256_bytes"},"source_id":"1208.3184","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:25a7261bcf3475a89d496792c248a5063a087bdeb9e916ac77829bb0263db2e1","sha256:e9661c3dbcb50ea94a4c7d38c91c7a3ed30ed7fba3baf525668dd4af2cff560b"],"state_sha256":"4873c8e3c1739217cb29f3eac2a7f4437ea478b66df049a0e58b27adccdee3f3"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"B7B5jQErFew2LG642a+junXg4GmvpdymXdfFf4txtGwYIyCALfdQ0stOlIxlawl9ycYTgXilPGOelExV1B8iAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-10T01:33:45.531744Z","bundle_sha256":"d99d5950fae660e057bddd27b0999ad9ec11046abaf61ef76e54983f9c0ebb16"}}