{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2021:EAEHE5WVL6JNLIYS6CTZOFWSGT","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":"ed000d4f31517a0294838a1c3106a7cdac56d5ffc133e68c32f9729afa748d6a","cross_cats_sorted":["astro-ph.CO"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"gr-qc","submitted_at":"2021-07-12T18:00:00Z","title_canon_sha256":"3e897144de4de40df4d50297fc6e545c428bfa76f8ba4588e5c5b686a3129abf"},"schema_version":"1.0","source":{"id":"2107.06643","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2107.06643","created_at":"2026-07-05T02:57:59Z"},{"alias_kind":"arxiv_version","alias_value":"2107.06643v1","created_at":"2026-07-05T02:57:59Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2107.06643","created_at":"2026-07-05T02:57:59Z"},{"alias_kind":"pith_short_12","alias_value":"EAEHE5WVL6JN","created_at":"2026-07-05T02:57:59Z"},{"alias_kind":"pith_short_16","alias_value":"EAEHE5WVL6JNLIYS","created_at":"2026-07-05T02:57:59Z"},{"alias_kind":"pith_short_8","alias_value":"EAEHE5WV","created_at":"2026-07-05T02:57:59Z"}],"graph_snapshots":[{"event_id":"sha256:be74795ebd3fbb89eb81ad73420c0136ce1b0f32fbe160787b2206fdcd7767b4","target":"graph","created_at":"2026-07-05T02:57:59Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2107.06643/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We show that derivation of Friedmann's equations from the Einstein-Hilbert action, paying attention to the requirements of isotropy and homogeneity during the variation, leads to a different interpretation of pressure than what is typically adopted. Our derivation follows if we assume that the unapproximated metric and Einstein tensor have convergent perturbation series representations on a sufficiently large Robertson-Walker coordinate patch. We find the source necessarily averages all pressures, everywhere, including the interiors of compact objects. We demonstrate that our considerations ap","authors_text":"Joel L. Weiner, Kevin S. Croker","cross_cats":["astro-ph.CO"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"gr-qc","submitted_at":"2021-07-12T18:00:00Z","title":"Implications of Symmetry and Pressure in Friedmann Cosmology. I. Formalism"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2107.06643","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":"sha256:87520c09cf9488530f47bee4eaa58e019b491ff21dac4a1581ed6b2008c51112","target":"record","created_at":"2026-07-05T02:57:59Z","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":"ed000d4f31517a0294838a1c3106a7cdac56d5ffc133e68c32f9729afa748d6a","cross_cats_sorted":["astro-ph.CO"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"gr-qc","submitted_at":"2021-07-12T18:00:00Z","title_canon_sha256":"3e897144de4de40df4d50297fc6e545c428bfa76f8ba4588e5c5b686a3129abf"},"schema_version":"1.0","source":{"id":"2107.06643","kind":"arxiv","version":1}},"canonical_sha256":"20087276d55f92d5a312f0a79716d234c05639dbf43e341b64bc143df5629b4b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"20087276d55f92d5a312f0a79716d234c05639dbf43e341b64bc143df5629b4b","first_computed_at":"2026-07-05T02:57:59.920957Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T02:57:59.920957Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"HH1WgWm5rHcHvST+xdF7OihV0O9UVCEnLGjOvlc5iX8oZHhkIZK0LeK0gvZOujrS3yUy8ek3X3ChD1s6lShABQ==","signature_status":"signed_v1","signed_at":"2026-07-05T02:57:59.921381Z","signed_message":"canonical_sha256_bytes"},"source_id":"2107.06643","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:87520c09cf9488530f47bee4eaa58e019b491ff21dac4a1581ed6b2008c51112","sha256:be74795ebd3fbb89eb81ad73420c0136ce1b0f32fbe160787b2206fdcd7767b4"],"state_sha256":"73656525dea7ce2d06f92f1c478d2ed8b6f8e497acaa041169c5ad33df9e1cd9"}