{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:OPQGTKR2LQFHDZBZWHGM3U3YYB","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":"e5e5633e5e8b1dcba7f2d3d0f82baa167fa8618e92a75060267161ce2160d7f4","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2012-09-18T15:10:17Z","title_canon_sha256":"2982a6bf7b8a0136133f0a61b4b287fe3428a27cf7fc8aa826fdf98fe221484e"},"schema_version":"1.0","source":{"id":"1209.3985","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1209.3985","created_at":"2026-05-18T01:35:05Z"},{"alias_kind":"arxiv_version","alias_value":"1209.3985v2","created_at":"2026-05-18T01:35:05Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1209.3985","created_at":"2026-05-18T01:35:05Z"},{"alias_kind":"pith_short_12","alias_value":"OPQGTKR2LQFH","created_at":"2026-05-18T12:27:16Z"},{"alias_kind":"pith_short_16","alias_value":"OPQGTKR2LQFHDZBZ","created_at":"2026-05-18T12:27:16Z"},{"alias_kind":"pith_short_8","alias_value":"OPQGTKR2","created_at":"2026-05-18T12:27:16Z"}],"graph_snapshots":[{"event_id":"sha256:421453bb3b80c49d407f50f869932246fdce1f6b3a4aefd09191defcf968db52","target":"graph","created_at":"2026-05-18T01:35:05Z","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":"In this paper, we give a rigorous derivation of Einstein's geodesic hypothesis in general relativity. We use scaling stable solitons for nonlinear wave equations to approximate the test particle. Given a vacuum spacetime $([0, T]\\times\\mathbb{R}^3, h)$, we consider the scalar field coupled Einstein equations. For all sufficiently small $\\epsilon$ and $\\delta\\leq \\epsilon^q$, $q>1$, where $\\delta$, $\\epsilon$ are the amplitude and size of the particle, we show the existence of solution $([0, T]\\times\\mathbb{R}^3, g, \\phi^\\epsilon)$ to the coupled Einstein equations with the property that the en","authors_text":"Shiwu Yang","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2012-09-18T15:10:17Z","title":"On the geodesic hypothesis in general relativity"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1209.3985","kind":"arxiv","version":2},"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:de1a1cbc9be1f9dee0effc412a544293085d5859d7b6d6efe0b915afd07033e1","target":"record","created_at":"2026-05-18T01:35:05Z","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":"e5e5633e5e8b1dcba7f2d3d0f82baa167fa8618e92a75060267161ce2160d7f4","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2012-09-18T15:10:17Z","title_canon_sha256":"2982a6bf7b8a0136133f0a61b4b287fe3428a27cf7fc8aa826fdf98fe221484e"},"schema_version":"1.0","source":{"id":"1209.3985","kind":"arxiv","version":2}},"canonical_sha256":"73e069aa3a5c0a71e439b1cccdd378c077154b43128529d895520ed2b5facc28","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"73e069aa3a5c0a71e439b1cccdd378c077154b43128529d895520ed2b5facc28","first_computed_at":"2026-05-18T01:35:05.347808Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:35:05.347808Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"TPvSMHEZjpUAYG4ElW4thnXs2xuT3a5h2uG+mnv/pXBjFWE+OPz54wI2J8y73v/3XtNZ0TwErZWHfdC2lsoOCw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:35:05.348542Z","signed_message":"canonical_sha256_bytes"},"source_id":"1209.3985","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:de1a1cbc9be1f9dee0effc412a544293085d5859d7b6d6efe0b915afd07033e1","sha256:421453bb3b80c49d407f50f869932246fdce1f6b3a4aefd09191defcf968db52"],"state_sha256":"5e32b842c7dbc6dfc32b772f6b795826fc9b47d39c50917b87448ad729f0c372"}