{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:7ZGZAYKUMAJTPEISFCWIJQHATY","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":"fbc3dd1486a9b652800021abcdfbb6d5d40d20a5d2eb38d2ee3d956313cf503d","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2014-09-17T09:30:25Z","title_canon_sha256":"8d652b21523bc99e6c2ef06d3548fa29544aebe81b68621c6e06cd545ccef543"},"schema_version":"1.0","source":{"id":"1409.4914","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1409.4914","created_at":"2026-05-18T02:31:59Z"},{"alias_kind":"arxiv_version","alias_value":"1409.4914v3","created_at":"2026-05-18T02:31:59Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1409.4914","created_at":"2026-05-18T02:31:59Z"},{"alias_kind":"pith_short_12","alias_value":"7ZGZAYKUMAJT","created_at":"2026-05-18T12:28:19Z"},{"alias_kind":"pith_short_16","alias_value":"7ZGZAYKUMAJTPEIS","created_at":"2026-05-18T12:28:19Z"},{"alias_kind":"pith_short_8","alias_value":"7ZGZAYKU","created_at":"2026-05-18T12:28:19Z"}],"graph_snapshots":[{"event_id":"sha256:59a57962a9e7e9c14de1e4780b0cc8d4c83137da803419628e03977662bbf401","target":"graph","created_at":"2026-05-18T02:31:59Z","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":"Four-dimensional spacetimes foliated by a two-parameter family of homologous two-surfaces are considered in Einstein's theory of gravity. By combining a 1+(1+2) decomposition, the canonical form of the spacetime metric and a suitable specification of the conformal structure of the foliating two-surfaces a gauge fixing is introduced. It is shown that, in terms of the chosen geometrically distinguished variables, the 1+3 Hamiltonian and momentum constraints can be recast into the form of a parabolic equation and a first order symmetric hyperbolic system, respectively. Initial data to this system","authors_text":"Istv\\'an R\\'acz","cross_cats":["math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2014-09-17T09:30:25Z","title":"Cauchy problem as a two-surface based `geometrodynamics'"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1409.4914","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":"sha256:642333e29c0ce773d08861e3083fc2ffbd85871244bc5a7dc2eaabe32f6fd013","target":"record","created_at":"2026-05-18T02:31:59Z","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":"fbc3dd1486a9b652800021abcdfbb6d5d40d20a5d2eb38d2ee3d956313cf503d","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2014-09-17T09:30:25Z","title_canon_sha256":"8d652b21523bc99e6c2ef06d3548fa29544aebe81b68621c6e06cd545ccef543"},"schema_version":"1.0","source":{"id":"1409.4914","kind":"arxiv","version":3}},"canonical_sha256":"fe4d906154601337911228ac84c0e09e01a25c2f3c50d052e46ab651f624e019","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"fe4d906154601337911228ac84c0e09e01a25c2f3c50d052e46ab651f624e019","first_computed_at":"2026-05-18T02:31:59.342757Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:31:59.342757Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"gs+9zFbCozVkoVMAwOhcvAKvfmij4ZLssjSo7apoWD0SL3jlF79Xv4b6fNByoiEclTIcNhpPIpxLUsIiP+baAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:31:59.343457Z","signed_message":"canonical_sha256_bytes"},"source_id":"1409.4914","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:642333e29c0ce773d08861e3083fc2ffbd85871244bc5a7dc2eaabe32f6fd013","sha256:59a57962a9e7e9c14de1e4780b0cc8d4c83137da803419628e03977662bbf401"],"state_sha256":"63f0698b08d47747c8901ca4afd8af3948e5bf623d861bd206c3c6435acd64b8"}