{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:R2XTO43T6KUA7LTSMLGSU2WVGH","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":"881d908d7e0cd054efd3958793550d47b1599f275b37017aad22cb26fd61a1ce","cross_cats_sorted":["gr-qc"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2013-08-21T07:15:41Z","title_canon_sha256":"8db3966c922b4d8b5ca0d20e72addc9d5effc9f8cd90b050f84078698053b2e6"},"schema_version":"1.0","source":{"id":"1308.4498","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1308.4498","created_at":"2026-05-18T01:26:19Z"},{"alias_kind":"arxiv_version","alias_value":"1308.4498v1","created_at":"2026-05-18T01:26:19Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1308.4498","created_at":"2026-05-18T01:26:19Z"},{"alias_kind":"pith_short_12","alias_value":"R2XTO43T6KUA","created_at":"2026-05-18T12:27:57Z"},{"alias_kind":"pith_short_16","alias_value":"R2XTO43T6KUA7LTS","created_at":"2026-05-18T12:27:57Z"},{"alias_kind":"pith_short_8","alias_value":"R2XTO43T","created_at":"2026-05-18T12:27:57Z"}],"graph_snapshots":[{"event_id":"sha256:d314e1aff2630e53d4b2718de0615d002f399f78240e65a3689f95f35ea6b199","target":"graph","created_at":"2026-05-18T01:26:19Z","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 construction of physical models with local time-reparametrization invariance is reviewed. Negative-energy contributions to the hamiltonian are shown to be crucial for the realization of this reparametrization symmetry. The covariant formulation of the dynamics is used to develop a time and gauge invariant Hamilton-Jacobi theory. This formalism is applied to solve for the cosmology of a homogeneous universe of the Friedmann-Lemaitre-Robertson-Walker type. After a discussion of empty universes, the FLRW theory is extended with homogeneous scalar fields generically described by a $\\sg$-model ","authors_text":"Jan-Willem van Holten, Richard Kerner","cross_cats":["gr-qc"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2013-08-21T07:15:41Z","title":"Time-reparametrization invariance and Hamilton-Jacobi approach to the cosmological sigma-model"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1308.4498","kind":"arxiv","version":1},"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:b20ac99a7fdd5e827a9d491e471bb8eba7140fcc6ad69d9a3093d1d3f198857c","target":"record","created_at":"2026-05-18T01:26:19Z","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":"881d908d7e0cd054efd3958793550d47b1599f275b37017aad22cb26fd61a1ce","cross_cats_sorted":["gr-qc"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2013-08-21T07:15:41Z","title_canon_sha256":"8db3966c922b4d8b5ca0d20e72addc9d5effc9f8cd90b050f84078698053b2e6"},"schema_version":"1.0","source":{"id":"1308.4498","kind":"arxiv","version":1}},"canonical_sha256":"8eaf377373f2a80fae7262cd2a6ad531e9cbe092955293771f6d6b262784af0a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8eaf377373f2a80fae7262cd2a6ad531e9cbe092955293771f6d6b262784af0a","first_computed_at":"2026-05-18T01:26:19.139879Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:26:19.139879Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"kKTLomri8eQ/td4I8GBgZizyLOkat/n2qRUi8L5q41zMSRhtgz+znr0uxFXylw99S7MraMAo3JNI2bMLXXmTCw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:26:19.140346Z","signed_message":"canonical_sha256_bytes"},"source_id":"1308.4498","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b20ac99a7fdd5e827a9d491e471bb8eba7140fcc6ad69d9a3093d1d3f198857c","sha256:d314e1aff2630e53d4b2718de0615d002f399f78240e65a3689f95f35ea6b199"],"state_sha256":"d867ac02fe8f47aefe94351ece68fe807ae6fed0bee80e93062fbcf4c68eb0c5"}