{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:ZSPNDGANR7U5HZNPMRA46YQEBY","short_pith_number":"pith:ZSPNDGAN","canonical_record":{"source":{"id":"1511.04277","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2015-11-13T13:38:27Z","cross_cats_sorted":["astro-ph.HE","math-ph","math.MP"],"title_canon_sha256":"3ada3cd1a902acd372e7db10a8e14b7f9f4408aa10a22e71387b98312dba12c5","abstract_canon_sha256":"b71dab097ea5c7a611566e6a1329a329e8f566d46f7ac058e4b8bea58e435af8"},"schema_version":"1.0"},"canonical_sha256":"cc9ed1980d8fe9d3e5af6441cf62040e2ad03c079031a3b532daebb06bc6c85d","source":{"kind":"arxiv","id":"1511.04277","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1511.04277","created_at":"2026-05-18T01:18:52Z"},{"alias_kind":"arxiv_version","alias_value":"1511.04277v1","created_at":"2026-05-18T01:18:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1511.04277","created_at":"2026-05-18T01:18:52Z"},{"alias_kind":"pith_short_12","alias_value":"ZSPNDGANR7U5","created_at":"2026-05-18T12:29:52Z"},{"alias_kind":"pith_short_16","alias_value":"ZSPNDGANR7U5HZNP","created_at":"2026-05-18T12:29:52Z"},{"alias_kind":"pith_short_8","alias_value":"ZSPNDGAN","created_at":"2026-05-18T12:29:52Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:ZSPNDGANR7U5HZNPMRA46YQEBY","target":"record","payload":{"canonical_record":{"source":{"id":"1511.04277","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2015-11-13T13:38:27Z","cross_cats_sorted":["astro-ph.HE","math-ph","math.MP"],"title_canon_sha256":"3ada3cd1a902acd372e7db10a8e14b7f9f4408aa10a22e71387b98312dba12c5","abstract_canon_sha256":"b71dab097ea5c7a611566e6a1329a329e8f566d46f7ac058e4b8bea58e435af8"},"schema_version":"1.0"},"canonical_sha256":"cc9ed1980d8fe9d3e5af6441cf62040e2ad03c079031a3b532daebb06bc6c85d","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:18:52.374575Z","signature_b64":"xYo3Nl1TCyFNzUJjt+T2zSu5oTyZgO526wCRw24sK5YZOKAyXtD6PdOEL4lQ7m0WUGFgi4/iDirdeCG2nNVYDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"cc9ed1980d8fe9d3e5af6441cf62040e2ad03c079031a3b532daebb06bc6c85d","last_reissued_at":"2026-05-18T01:18:52.373802Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:18:52.373802Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1511.04277","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":"2026-05-18T01:18:52Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"XFbQjOPiB6YhE05qmNw5tCAHHeEOSG4P5cxTR9+YdpyGHIiiJpvN1kgumRrCu/jyMmGVhcRSA6oAUwfWfaUcCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T01:21:01.620837Z"},"content_sha256":"140c54d9f69bb7773c4302e94daba0141bb9cbb280c484b1208ad4c58da2467b","schema_version":"1.0","event_id":"sha256:140c54d9f69bb7773c4302e94daba0141bb9cbb280c484b1208ad4c58da2467b"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:ZSPNDGANR7U5HZNPMRA46YQEBY","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Indirect (source-free) integration method. II. Self-force consistent radial fall","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["astro-ph.HE","math-ph","math.MP"],"primary_cat":"gr-qc","authors_text":"A. Spallicci, P. Ritter, S. Aoudia, S. Cordier","submitted_at":"2015-11-13T13:38:27Z","abstract_excerpt":"We apply our method of indirect integration, described in Part I, at fourth order, to the radial fall affected by the self-force. The Mode-Sum regularisation is performed in the Regge-Wheeler gauge using the equivalence with the harmonic gauge for this orbit. We consider also the motion subjected to a self-consistent and iterative correction determined by the self-force through osculating stretches of geodesics. The convergence of the results confirms the validity of the integration method. This work complements and justifies the analysis and the results appeared in Int. J. Geom. Meth. Mod. Ph"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1511.04277","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":"2026-05-18T01:18:52Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"wQ+qUCvmYxpeq7uShNURaoVtCAqxuysEkDNe2a8gW95QSl8jZjWHjidmjFqO0zlUrXkM/0Klrywj6zpQbuAJAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T01:21:01.621206Z"},"content_sha256":"70cec8f9793511f618dd24fd9f903e116083871e40d251e9a0faa9e4b81753f4","schema_version":"1.0","event_id":"sha256:70cec8f9793511f618dd24fd9f903e116083871e40d251e9a0faa9e4b81753f4"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/ZSPNDGANR7U5HZNPMRA46YQEBY/bundle.json","state_url":"https://pith.science/pith/ZSPNDGANR7U5HZNPMRA46YQEBY/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/ZSPNDGANR7U5HZNPMRA46YQEBY/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":"2026-05-30T01:21:01Z","links":{"resolver":"https://pith.science/pith/ZSPNDGANR7U5HZNPMRA46YQEBY","bundle":"https://pith.science/pith/ZSPNDGANR7U5HZNPMRA46YQEBY/bundle.json","state":"https://pith.science/pith/ZSPNDGANR7U5HZNPMRA46YQEBY/state.json","well_known_bundle":"https://pith.science/.well-known/pith/ZSPNDGANR7U5HZNPMRA46YQEBY/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:ZSPNDGANR7U5HZNPMRA46YQEBY","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":"b71dab097ea5c7a611566e6a1329a329e8f566d46f7ac058e4b8bea58e435af8","cross_cats_sorted":["astro-ph.HE","math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2015-11-13T13:38:27Z","title_canon_sha256":"3ada3cd1a902acd372e7db10a8e14b7f9f4408aa10a22e71387b98312dba12c5"},"schema_version":"1.0","source":{"id":"1511.04277","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1511.04277","created_at":"2026-05-18T01:18:52Z"},{"alias_kind":"arxiv_version","alias_value":"1511.04277v1","created_at":"2026-05-18T01:18:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1511.04277","created_at":"2026-05-18T01:18:52Z"},{"alias_kind":"pith_short_12","alias_value":"ZSPNDGANR7U5","created_at":"2026-05-18T12:29:52Z"},{"alias_kind":"pith_short_16","alias_value":"ZSPNDGANR7U5HZNP","created_at":"2026-05-18T12:29:52Z"},{"alias_kind":"pith_short_8","alias_value":"ZSPNDGAN","created_at":"2026-05-18T12:29:52Z"}],"graph_snapshots":[{"event_id":"sha256:70cec8f9793511f618dd24fd9f903e116083871e40d251e9a0faa9e4b81753f4","target":"graph","created_at":"2026-05-18T01:18:52Z","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 apply our method of indirect integration, described in Part I, at fourth order, to the radial fall affected by the self-force. The Mode-Sum regularisation is performed in the Regge-Wheeler gauge using the equivalence with the harmonic gauge for this orbit. We consider also the motion subjected to a self-consistent and iterative correction determined by the self-force through osculating stretches of geodesics. The convergence of the results confirms the validity of the integration method. This work complements and justifies the analysis and the results appeared in Int. J. Geom. Meth. Mod. Ph","authors_text":"A. Spallicci, P. Ritter, S. Aoudia, S. Cordier","cross_cats":["astro-ph.HE","math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2015-11-13T13:38:27Z","title":"Indirect (source-free) integration method. II. Self-force consistent radial fall"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1511.04277","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":"sha256:140c54d9f69bb7773c4302e94daba0141bb9cbb280c484b1208ad4c58da2467b","target":"record","created_at":"2026-05-18T01:18:52Z","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":"b71dab097ea5c7a611566e6a1329a329e8f566d46f7ac058e4b8bea58e435af8","cross_cats_sorted":["astro-ph.HE","math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2015-11-13T13:38:27Z","title_canon_sha256":"3ada3cd1a902acd372e7db10a8e14b7f9f4408aa10a22e71387b98312dba12c5"},"schema_version":"1.0","source":{"id":"1511.04277","kind":"arxiv","version":1}},"canonical_sha256":"cc9ed1980d8fe9d3e5af6441cf62040e2ad03c079031a3b532daebb06bc6c85d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"cc9ed1980d8fe9d3e5af6441cf62040e2ad03c079031a3b532daebb06bc6c85d","first_computed_at":"2026-05-18T01:18:52.373802Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:18:52.373802Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"xYo3Nl1TCyFNzUJjt+T2zSu5oTyZgO526wCRw24sK5YZOKAyXtD6PdOEL4lQ7m0WUGFgi4/iDirdeCG2nNVYDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:18:52.374575Z","signed_message":"canonical_sha256_bytes"},"source_id":"1511.04277","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:140c54d9f69bb7773c4302e94daba0141bb9cbb280c484b1208ad4c58da2467b","sha256:70cec8f9793511f618dd24fd9f903e116083871e40d251e9a0faa9e4b81753f4"],"state_sha256":"60688c99c0da29d6d62e46df23e6ddf3197cada4035711d077238563210b17c9"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"dJNHDrMNTdNYwqZni/7N2I0XCut4d1s14TCaHkxeslPc1j+ipRsQuJdfwqGPHz8XEbMJ5qViWjpJytNy0vZTDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-30T01:21:01.624133Z","bundle_sha256":"57a6217ed1a89d560426465191bc9af805e64aec9d1804cab58e85d2a687ee81"}}