{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:R5KPROABQAKIEAQ5LVTYZR72CH","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":"57227e8e36528a45b1c3b56b72d380c2d97ecec59b1bd1b51a2054275b101e84","cross_cats_sorted":["math.AP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2011-08-23T23:28:14Z","title_canon_sha256":"f6f4ca49b5a4cf5603ee93c8999f5f5bb2db180316473a676085ec2cf5fbafe2"},"schema_version":"1.0","source":{"id":"1108.4718","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1108.4718","created_at":"2026-05-18T02:00:48Z"},{"alias_kind":"arxiv_version","alias_value":"1108.4718v3","created_at":"2026-05-18T02:00:48Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1108.4718","created_at":"2026-05-18T02:00:48Z"},{"alias_kind":"pith_short_12","alias_value":"R5KPROABQAKI","created_at":"2026-05-18T12:26:41Z"},{"alias_kind":"pith_short_16","alias_value":"R5KPROABQAKIEAQ5","created_at":"2026-05-18T12:26:41Z"},{"alias_kind":"pith_short_8","alias_value":"R5KPROAB","created_at":"2026-05-18T12:26:41Z"}],"graph_snapshots":[{"event_id":"sha256:3abce2958a2c580c33bcaf8e5a6259712c4b3e26e2a447a619224f8dccce19bb","target":"graph","created_at":"2026-05-18T02:00:48Z","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":"Recent work by the authors led to the development of a mathematical theory dealing with `second--order hyperbolic Fuchsian systems', as we call them. In the present paper, we adopt a physical standpoint and discuss the implications of this theory which provides one with a new tool to tackle the Einstein equations of general relativity (under certain symmetry assumptions). Specifically, we formulate the `Fuchsian singular initial value problem' and apply our general analysis to the broad class of vacuum Gowdy spacetimes with spatial toroidal topology. Our main focus is on providing a detailed d","authors_text":"Florian Beyer, Philippe G. LeFloch","cross_cats":["math.AP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2011-08-23T23:28:14Z","title":"Second-order hyperbolic Fuchsian systems. Asymptotic behavior of geodesics in Gowdy spacetimes"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1108.4718","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":"sha256:3d1e594bb2296eadc16d41d06fda11f67756f44fb624ab32f799c9d4c28b7f84","target":"record","created_at":"2026-05-18T02:00:48Z","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":"57227e8e36528a45b1c3b56b72d380c2d97ecec59b1bd1b51a2054275b101e84","cross_cats_sorted":["math.AP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2011-08-23T23:28:14Z","title_canon_sha256":"f6f4ca49b5a4cf5603ee93c8999f5f5bb2db180316473a676085ec2cf5fbafe2"},"schema_version":"1.0","source":{"id":"1108.4718","kind":"arxiv","version":3}},"canonical_sha256":"8f54f8b801801482021d5d678cc7fa11cbe38e0ee34efe4d9177f7752d238854","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8f54f8b801801482021d5d678cc7fa11cbe38e0ee34efe4d9177f7752d238854","first_computed_at":"2026-05-18T02:00:48.973137Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:00:48.973137Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"sAP2vPq8ohf3jXkUu6JweKsyUmC1kbPIWLrPs3hjmKJQW5ZWNzLy3fsU+IwBDj4tAwszd1lHg2snI/8KK6OAAg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:00:48.973706Z","signed_message":"canonical_sha256_bytes"},"source_id":"1108.4718","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3d1e594bb2296eadc16d41d06fda11f67756f44fb624ab32f799c9d4c28b7f84","sha256:3abce2958a2c580c33bcaf8e5a6259712c4b3e26e2a447a619224f8dccce19bb"],"state_sha256":"e7f2e002e2b752d832062f223b3cb9a78e77b664475fbaddae8237a4d9851397"}