{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2010:C2F3Q4CCREM5BXTQI4SNUD4SWR","short_pith_number":"pith:C2F3Q4CC","canonical_record":{"source":{"id":"1009.4876","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2010-09-24T15:59:56Z","cross_cats_sorted":[],"title_canon_sha256":"42f4b023931a00a049685271ea0cf3c33323c3af1151649c1458d7666caa4eb4","abstract_canon_sha256":"3e9ea98d34595e9173e02b6f6fae433863fe2aa084554bd1bcb75ca97106ff95"},"schema_version":"1.0"},"canonical_sha256":"168bb870428919d0de704724da0f92b451b5fcc5163ea44b8e8b3a965cce6f08","source":{"kind":"arxiv","id":"1009.4876","version":4},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1009.4876","created_at":"2026-05-18T04:26:23Z"},{"alias_kind":"arxiv_version","alias_value":"1009.4876v4","created_at":"2026-05-18T04:26:23Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1009.4876","created_at":"2026-05-18T04:26:23Z"},{"alias_kind":"pith_short_12","alias_value":"C2F3Q4CCREM5","created_at":"2026-05-18T12:26:05Z"},{"alias_kind":"pith_short_16","alias_value":"C2F3Q4CCREM5BXTQ","created_at":"2026-05-18T12:26:05Z"},{"alias_kind":"pith_short_8","alias_value":"C2F3Q4CC","created_at":"2026-05-18T12:26:05Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2010:C2F3Q4CCREM5BXTQI4SNUD4SWR","target":"record","payload":{"canonical_record":{"source":{"id":"1009.4876","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2010-09-24T15:59:56Z","cross_cats_sorted":[],"title_canon_sha256":"42f4b023931a00a049685271ea0cf3c33323c3af1151649c1458d7666caa4eb4","abstract_canon_sha256":"3e9ea98d34595e9173e02b6f6fae433863fe2aa084554bd1bcb75ca97106ff95"},"schema_version":"1.0"},"canonical_sha256":"168bb870428919d0de704724da0f92b451b5fcc5163ea44b8e8b3a965cce6f08","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:26:23.174799Z","signature_b64":"S5zyRL9KPpVOnzXawh5+frofGIsOyEUC9rEM81ZVGz62hv4f8HC4ZFMyFZ42iPbf4CAnGpOjAFsa7746U/gLBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"168bb870428919d0de704724da0f92b451b5fcc5163ea44b8e8b3a965cce6f08","last_reissued_at":"2026-05-18T04:26:23.174375Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:26:23.174375Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1009.4876","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":"2026-05-18T04:26:23Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"L0CM7jRVerANte8CDBq+WOVhGGFcUND9OFZbGVyThMW326cNxvhHRQd8dBhpQNLz64ytGD8+KfvnCIcsMnlyDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-04T19:54:27.382896Z"},"content_sha256":"9c3ef66a449abfa0789c7e8d02c691e88be6d5cdb547c56ad1bf6a82fc9dc159","schema_version":"1.0","event_id":"sha256:9c3ef66a449abfa0789c7e8d02c691e88be6d5cdb547c56ad1bf6a82fc9dc159"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2010:C2F3Q4CCREM5BXTQI4SNUD4SWR","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Conservative, gravitational self-force for a particle in circular orbit around a Schwarzschild black hole in a Radiation Gauge","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"Abhay Shah, Dong-Hoon Kim, John Friedman, Larry Price, Tobias Keidl","submitted_at":"2010-09-24T15:59:56Z","abstract_excerpt":"This is the second of two companion papers on computing the self-force in a radiation gauge; more precisely, the method uses a radiation gauge for the radiative part of the metric perturbation, together with an arbitrarily chosen gauge for the parts of the perturbation associated with changes in black-hole mass and spin and with a shift in the center of mass. We compute the conservative part of the self-force for a particle in circular orbit around a Schwarzschild black hole. The gauge vector relating our radiation gauge to a Lorenz gauge is helically symmetric, implying that the quantity h_{\\"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1009.4876","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":"2026-05-18T04:26:23Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ePGljPjjdkmhmk9DgjQWhp3rx52KKzTQmOq3meAEWcj1s0VJTOKAnKM3WbsIbnwTOcuVG6SmRdOc9STFlh/NAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-04T19:54:27.383243Z"},"content_sha256":"7a4448500d868d59f6db32397a23df661b250249432b48e80dc3171998fc7c9d","schema_version":"1.0","event_id":"sha256:7a4448500d868d59f6db32397a23df661b250249432b48e80dc3171998fc7c9d"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/C2F3Q4CCREM5BXTQI4SNUD4SWR/bundle.json","state_url":"https://pith.science/pith/C2F3Q4CCREM5BXTQI4SNUD4SWR/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/C2F3Q4CCREM5BXTQI4SNUD4SWR/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":"2026-06-04T19:54:27Z","links":{"resolver":"https://pith.science/pith/C2F3Q4CCREM5BXTQI4SNUD4SWR","bundle":"https://pith.science/pith/C2F3Q4CCREM5BXTQI4SNUD4SWR/bundle.json","state":"https://pith.science/pith/C2F3Q4CCREM5BXTQI4SNUD4SWR/state.json","well_known_bundle":"https://pith.science/.well-known/pith/C2F3Q4CCREM5BXTQI4SNUD4SWR/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:C2F3Q4CCREM5BXTQI4SNUD4SWR","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":"3e9ea98d34595e9173e02b6f6fae433863fe2aa084554bd1bcb75ca97106ff95","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2010-09-24T15:59:56Z","title_canon_sha256":"42f4b023931a00a049685271ea0cf3c33323c3af1151649c1458d7666caa4eb4"},"schema_version":"1.0","source":{"id":"1009.4876","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1009.4876","created_at":"2026-05-18T04:26:23Z"},{"alias_kind":"arxiv_version","alias_value":"1009.4876v4","created_at":"2026-05-18T04:26:23Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1009.4876","created_at":"2026-05-18T04:26:23Z"},{"alias_kind":"pith_short_12","alias_value":"C2F3Q4CCREM5","created_at":"2026-05-18T12:26:05Z"},{"alias_kind":"pith_short_16","alias_value":"C2F3Q4CCREM5BXTQ","created_at":"2026-05-18T12:26:05Z"},{"alias_kind":"pith_short_8","alias_value":"C2F3Q4CC","created_at":"2026-05-18T12:26:05Z"}],"graph_snapshots":[{"event_id":"sha256:7a4448500d868d59f6db32397a23df661b250249432b48e80dc3171998fc7c9d","target":"graph","created_at":"2026-05-18T04:26:23Z","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":"This is the second of two companion papers on computing the self-force in a radiation gauge; more precisely, the method uses a radiation gauge for the radiative part of the metric perturbation, together with an arbitrarily chosen gauge for the parts of the perturbation associated with changes in black-hole mass and spin and with a shift in the center of mass. We compute the conservative part of the self-force for a particle in circular orbit around a Schwarzschild black hole. The gauge vector relating our radiation gauge to a Lorenz gauge is helically symmetric, implying that the quantity h_{\\","authors_text":"Abhay Shah, Dong-Hoon Kim, John Friedman, Larry Price, Tobias Keidl","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2010-09-24T15:59:56Z","title":"Conservative, gravitational self-force for a particle in circular orbit around a Schwarzschild black hole in a Radiation Gauge"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1009.4876","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":"sha256:9c3ef66a449abfa0789c7e8d02c691e88be6d5cdb547c56ad1bf6a82fc9dc159","target":"record","created_at":"2026-05-18T04:26:23Z","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":"3e9ea98d34595e9173e02b6f6fae433863fe2aa084554bd1bcb75ca97106ff95","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2010-09-24T15:59:56Z","title_canon_sha256":"42f4b023931a00a049685271ea0cf3c33323c3af1151649c1458d7666caa4eb4"},"schema_version":"1.0","source":{"id":"1009.4876","kind":"arxiv","version":4}},"canonical_sha256":"168bb870428919d0de704724da0f92b451b5fcc5163ea44b8e8b3a965cce6f08","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"168bb870428919d0de704724da0f92b451b5fcc5163ea44b8e8b3a965cce6f08","first_computed_at":"2026-05-18T04:26:23.174375Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:26:23.174375Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"S5zyRL9KPpVOnzXawh5+frofGIsOyEUC9rEM81ZVGz62hv4f8HC4ZFMyFZ42iPbf4CAnGpOjAFsa7746U/gLBg==","signature_status":"signed_v1","signed_at":"2026-05-18T04:26:23.174799Z","signed_message":"canonical_sha256_bytes"},"source_id":"1009.4876","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9c3ef66a449abfa0789c7e8d02c691e88be6d5cdb547c56ad1bf6a82fc9dc159","sha256:7a4448500d868d59f6db32397a23df661b250249432b48e80dc3171998fc7c9d"],"state_sha256":"bcebd2e36a662fe209dfbee091169e806883f20e459825b6784b7f38e2faba43"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"8Exf44yzyvP8LwlD7cRmE+lYdTYqiY/R25hNWIKWwqsIAkqF2sc4p8fhAMkzuevYOp0hrD6TwIbSEHhviiC0Bg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-04T19:54:27.385305Z","bundle_sha256":"11bc134824793f55211c52a3c920b78c3f63374e1e5a5f7ca2ebc7d06072f1d1"}}