{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:1997:FHCXC26XHRCELTKAF6AJQPZT54","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":"cdf0d0351bfff6fbd5a1e7d3481b8ad48d341c3e88f600e8d7d67b5220bee585","cross_cats_sorted":[],"license":"","primary_cat":"gr-qc","submitted_at":"1997-05-26T21:03:15Z","title_canon_sha256":"5a99cbc9a720e7cbaea44ed0525e1fee05228438dfd95b31b5d51bd1320bb53f"},"schema_version":"1.0","source":{"id":"gr-qc/9705070","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"gr-qc/9705070","created_at":"2026-05-18T01:06:44Z"},{"alias_kind":"arxiv_version","alias_value":"gr-qc/9705070v1","created_at":"2026-05-18T01:06:44Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.gr-qc/9705070","created_at":"2026-05-18T01:06:44Z"},{"alias_kind":"pith_short_12","alias_value":"FHCXC26XHRCE","created_at":"2026-05-18T12:25:48Z"},{"alias_kind":"pith_short_16","alias_value":"FHCXC26XHRCELTKA","created_at":"2026-05-18T12:25:48Z"},{"alias_kind":"pith_short_8","alias_value":"FHCXC26X","created_at":"2026-05-18T12:25:48Z"}],"graph_snapshots":[{"event_id":"sha256:b7f5597274130906ca982f23385785c4ed9e3e02fbd89a8dd5c0fe4c24d3aa28","target":"graph","created_at":"2026-05-18T01:06:44Z","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 energy conditions of Einstein gravity (classical general relativity) are designed to extract as much information as possible from classical general relativity without enforcing a particular equation of state for the stress-energy. This systematic avoidance of the need to specify a particular equation of state is particularly useful in a cosmological setting --- since the equation of state for the cosmological fluid in a Friedmann-Robertson-Walker type universe is extremely uncertain. I shall show that the energy conditions provide simple and robust bounds on the behaviour of both the densi","authors_text":"Matt Visser (Washington University)","cross_cats":[],"headline":"","license":"","primary_cat":"gr-qc","submitted_at":"1997-05-26T21:03:15Z","title":"General Relativistic Energy Conditions: The Hubble expansion in the epoch of galaxy formation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"gr-qc/9705070","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":"sha256:61250b5651101eb936b07cade5ba1af1794d798be86008ca510c125b89b5b2fd","target":"record","created_at":"2026-05-18T01:06:44Z","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":"cdf0d0351bfff6fbd5a1e7d3481b8ad48d341c3e88f600e8d7d67b5220bee585","cross_cats_sorted":[],"license":"","primary_cat":"gr-qc","submitted_at":"1997-05-26T21:03:15Z","title_canon_sha256":"5a99cbc9a720e7cbaea44ed0525e1fee05228438dfd95b31b5d51bd1320bb53f"},"schema_version":"1.0","source":{"id":"gr-qc/9705070","kind":"arxiv","version":1}},"canonical_sha256":"29c5716bd73c4445cd402f80983f33ef2cfbe0d292b8dbdbf30dba59fb990b40","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"29c5716bd73c4445cd402f80983f33ef2cfbe0d292b8dbdbf30dba59fb990b40","first_computed_at":"2026-05-18T01:06:44.383099Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:06:44.383099Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"HzHNvxuTcAA/m0tWkeaph5/0BSJK5iZSJWDQJY38No47MB7Ww5KuYUDsVgz20OmHFxu6GEtS+jvtKdqZVQONAg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:06:44.383825Z","signed_message":"canonical_sha256_bytes"},"source_id":"gr-qc/9705070","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:61250b5651101eb936b07cade5ba1af1794d798be86008ca510c125b89b5b2fd","sha256:b7f5597274130906ca982f23385785c4ed9e3e02fbd89a8dd5c0fe4c24d3aa28"],"state_sha256":"ff0d85c168d15984c91d36a101f64f713a9386978526fb62ab68be1877c07820"}