{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2001:H723OPM2WTJFR6IYXT6O6RDXTQ","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":"df0ef83dd0110eb96b7b96a0ffc5d82613d25047eae2be18eaac3a4de985a74a","cross_cats_sorted":["astro-ph"],"license":"","primary_cat":"gr-qc","submitted_at":"2001-06-27T15:12:38Z","title_canon_sha256":"63c484962498fff6b2e9e679fdb044f13ff7728464977706f1f1f6cf159f6975"},"schema_version":"1.0","source":{"id":"gr-qc/0106087","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"gr-qc/0106087","created_at":"2026-05-18T04:36:19Z"},{"alias_kind":"arxiv_version","alias_value":"gr-qc/0106087v3","created_at":"2026-05-18T04:36:19Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.gr-qc/0106087","created_at":"2026-05-18T04:36:19Z"},{"alias_kind":"pith_short_12","alias_value":"H723OPM2WTJF","created_at":"2026-05-18T12:25:50Z"},{"alias_kind":"pith_short_16","alias_value":"H723OPM2WTJFR6IY","created_at":"2026-05-18T12:25:50Z"},{"alias_kind":"pith_short_8","alias_value":"H723OPM2","created_at":"2026-05-18T12:25:50Z"}],"graph_snapshots":[{"event_id":"sha256:39b00a037fe48731b8934306e7fdd1aca46ed701218fcda19fe37110f5f524f5","target":"graph","created_at":"2026-05-18T04:36:19Z","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":"The asymptotic method of post-Newtonian (PN) expansion for weak gravitational fields, recently developed, is compared with the standard method of PN expansion, in the particular case of a massive test particle moving along a geodesic line of a weak Schwarzschild field. First, the expression of the active mass in Schwarzschild's solution is given for a barotropic perfect fluid, both for general relativity (GR) and for an alternative, scalar theory. The principle of the asymptotic method is then recalled and the PN expansion of the active mass is derived. The PN correction to the active mass is ","authors_text":"Mayeul Arminjon","cross_cats":["astro-ph"],"headline":"","license":"","primary_cat":"gr-qc","submitted_at":"2001-06-27T15:12:38Z","title":"Comparison between two methods of post-Newtonian expansion for the motion in a weak Schwarzschild field"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"gr-qc/0106087","kind":"arxiv","version":3},"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":"sha256:1b576becec34d671f3ad0fd60d4ea167f734aef452dde2e782738d72f42a1ebc","target":"record","created_at":"2026-05-18T04:36:19Z","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":"df0ef83dd0110eb96b7b96a0ffc5d82613d25047eae2be18eaac3a4de985a74a","cross_cats_sorted":["astro-ph"],"license":"","primary_cat":"gr-qc","submitted_at":"2001-06-27T15:12:38Z","title_canon_sha256":"63c484962498fff6b2e9e679fdb044f13ff7728464977706f1f1f6cf159f6975"},"schema_version":"1.0","source":{"id":"gr-qc/0106087","kind":"arxiv","version":3}},"canonical_sha256":"3ff5b73d9ab4d258f918bcfcef44779c34863b5c5c2e457ee89711919178c969","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3ff5b73d9ab4d258f918bcfcef44779c34863b5c5c2e457ee89711919178c969","first_computed_at":"2026-05-18T04:36:19.409940Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:36:19.409940Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"I6tGDqZgSpsfSg1i02fzupy9WYz68e0UR9LdYLTn9uJOVmqKOrsBuGvhYfVujke989VUlq/0ANnzGKirKi2GCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T04:36:19.410412Z","signed_message":"canonical_sha256_bytes"},"source_id":"gr-qc/0106087","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1b576becec34d671f3ad0fd60d4ea167f734aef452dde2e782738d72f42a1ebc","sha256:39b00a037fe48731b8934306e7fdd1aca46ed701218fcda19fe37110f5f524f5"],"state_sha256":"14433c8ce7f12575695617a677a21abd81021c8b5682746b696340982d7022a8"}