{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:VLBGS3S5JEZFJVLA33L5O4W54C","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":"a065530b1e932c298a89657e706188804aaec59e1cccdef0e86e169fc0de90ef","cross_cats_sorted":["astro-ph.CO","hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2010-01-19T09:41:02Z","title_canon_sha256":"3d84167b9e80f162d58f67932f1c05e910db16f4c98deb30307ebcdab4bf538c"},"schema_version":"1.0","source":{"id":"1001.3237","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1001.3237","created_at":"2026-05-18T04:23:03Z"},{"alias_kind":"arxiv_version","alias_value":"1001.3237v2","created_at":"2026-05-18T04:23:03Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1001.3237","created_at":"2026-05-18T04:23:03Z"},{"alias_kind":"pith_short_12","alias_value":"VLBGS3S5JEZF","created_at":"2026-05-18T12:26:15Z"},{"alias_kind":"pith_short_16","alias_value":"VLBGS3S5JEZFJVLA","created_at":"2026-05-18T12:26:15Z"},{"alias_kind":"pith_short_8","alias_value":"VLBGS3S5","created_at":"2026-05-18T12:26:15Z"}],"graph_snapshots":[{"event_id":"sha256:af30158a0179543eaa62346f0d441ad5d0fd4db8808ba9f4ac7dbf7990998410","target":"graph","created_at":"2026-05-18T04:23:03Z","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":"We apply the holographic principle and the equipartition law of energy to the apparent horizon of a Friedmann-Robertson-Walker universe and derive the Friedmann equation describing the dynamics of the universe. We also show that the equipartition law of energy can be interpreted as the first law of thermodynamics at the apparent horizon.","authors_text":"Fu-Wen Shu, Yungui Gong","cross_cats":["astro-ph.CO","hep-th"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2010-01-19T09:41:02Z","title":"Equipartition of energy and the first law of thermodynamics at the apparent horizon"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1001.3237","kind":"arxiv","version":2},"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:bafa0fe04ab1dbf6b0aaf19c44e67d424b257e1597f9a682c118262f57691616","target":"record","created_at":"2026-05-18T04:23:03Z","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":"a065530b1e932c298a89657e706188804aaec59e1cccdef0e86e169fc0de90ef","cross_cats_sorted":["astro-ph.CO","hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2010-01-19T09:41:02Z","title_canon_sha256":"3d84167b9e80f162d58f67932f1c05e910db16f4c98deb30307ebcdab4bf538c"},"schema_version":"1.0","source":{"id":"1001.3237","kind":"arxiv","version":2}},"canonical_sha256":"aac2696e5d493254d560ded7d772dde0b5e7521a6203568ffdf5ba1e35041132","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"aac2696e5d493254d560ded7d772dde0b5e7521a6203568ffdf5ba1e35041132","first_computed_at":"2026-05-18T04:23:03.181154Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:23:03.181154Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"2DE79QVwLkurwTmm00+MFuiYh84A8/iZ+8l1/C9vYkMXeY/ask7AgYzaroDk+nZUr9cYhgFpHdnu5voaP7eCCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T04:23:03.181886Z","signed_message":"canonical_sha256_bytes"},"source_id":"1001.3237","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:bafa0fe04ab1dbf6b0aaf19c44e67d424b257e1597f9a682c118262f57691616","sha256:af30158a0179543eaa62346f0d441ad5d0fd4db8808ba9f4ac7dbf7990998410"],"state_sha256":"7c1d4d3e63633321696ea546d026dc2139a407c63cf86933b4aac62809da0eb2"}