{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2023:C2VOIKWM66PTIIHEUDYH6SCLA5","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":"b104c260a03ef49b5862861f0bc3e49af6a428928cd89956d6ca9249ceb81d50","cross_cats_sorted":["math.AP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2023-12-29T18:03:49Z","title_canon_sha256":"a182b1bcf179e8f62e477e256f323981d9de44598f0823dad80836dd05ca77fd"},"schema_version":"1.0","source":{"id":"2312.17712","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2312.17712","created_at":"2026-07-05T08:16:24Z"},{"alias_kind":"arxiv_version","alias_value":"2312.17712v3","created_at":"2026-07-05T08:16:24Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2312.17712","created_at":"2026-07-05T08:16:24Z"},{"alias_kind":"pith_short_12","alias_value":"C2VOIKWM66PT","created_at":"2026-07-05T08:16:24Z"},{"alias_kind":"pith_short_16","alias_value":"C2VOIKWM66PTIIHE","created_at":"2026-07-05T08:16:24Z"},{"alias_kind":"pith_short_8","alias_value":"C2VOIKWM","created_at":"2026-07-05T08:16:24Z"}],"graph_snapshots":[{"event_id":"sha256:66c2d8f71eaceda6abe59572dd09767d6dc99e776a5668dc7d05424e37ac1594","target":"graph","created_at":"2026-07-05T08:16:24Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2312.17712/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"This paper is a part of a series devoted to the Euclidean-hyperboloidal foliation method introduced by the authors for investigating the global existence problem associated with nonlinear systems of coupled wave-Klein-Gordon equations with small data. This method was developed especially for investigating the initial value problem for the Einstein-massive field system in wave gauge. Here, we study the (fourth-order) field equations of f(R) modified gravity and investigate the global dynamical behavior of the gravitational field in the near-Minkowski regime. We establish the existence of a glob","authors_text":"Philippe G. LeFloch, Yue Ma","cross_cats":["math.AP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2023-12-29T18:03:49Z","title":"The Euclidean-hyperboloidal foliation method. Application to f(R) modified gravity"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2312.17712","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":"sha256:8cffb7e5062b1acaf6b71dba165b9ff33a98cc94aafba7a6454061679284684d","target":"record","created_at":"2026-07-05T08:16:24Z","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":"b104c260a03ef49b5862861f0bc3e49af6a428928cd89956d6ca9249ceb81d50","cross_cats_sorted":["math.AP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2023-12-29T18:03:49Z","title_canon_sha256":"a182b1bcf179e8f62e477e256f323981d9de44598f0823dad80836dd05ca77fd"},"schema_version":"1.0","source":{"id":"2312.17712","kind":"arxiv","version":3}},"canonical_sha256":"16aae42accf79f3420e4a0f07f484b0779cfaef056db0ea16b4b9d4f030677fa","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"16aae42accf79f3420e4a0f07f484b0779cfaef056db0ea16b4b9d4f030677fa","first_computed_at":"2026-07-05T08:16:24.518474Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T08:16:24.518474Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"4wejlD03D5eZIo8p88H+qys+BvdgBtRRkc6D98Dkig60cTRnsx54KUgdeuJbnFzfFrIeDNNDPOOb3kwiRA1PCQ==","signature_status":"signed_v1","signed_at":"2026-07-05T08:16:24.518861Z","signed_message":"canonical_sha256_bytes"},"source_id":"2312.17712","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8cffb7e5062b1acaf6b71dba165b9ff33a98cc94aafba7a6454061679284684d","sha256:66c2d8f71eaceda6abe59572dd09767d6dc99e776a5668dc7d05424e37ac1594"],"state_sha256":"d663ff9832905977f3fcebaad71ab7bff6b43db4ab8cdc19c5cc4b71cb9bb9cb"}