{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:ECYA237IDBYWK7KYTMWVHY55EP","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":"756805c78a9a661919615661237980afddc6d15d1876e0365425304af0d7c674","cross_cats_sorted":["astro-ph.CO","astro-ph.SR"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2012-04-02T14:31:03Z","title_canon_sha256":"17f8e917ea7c0056016e6537daa3c34727daa77743b1360913e32af7ab72fc73"},"schema_version":"1.0","source":{"id":"1204.0419","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1204.0419","created_at":"2026-05-18T00:44:39Z"},{"alias_kind":"arxiv_version","alias_value":"1204.0419v1","created_at":"2026-05-18T00:44:39Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1204.0419","created_at":"2026-05-18T00:44:39Z"},{"alias_kind":"pith_short_12","alias_value":"ECYA237IDBYW","created_at":"2026-05-18T12:27:04Z"},{"alias_kind":"pith_short_16","alias_value":"ECYA237IDBYWK7KY","created_at":"2026-05-18T12:27:04Z"},{"alias_kind":"pith_short_8","alias_value":"ECYA237I","created_at":"2026-05-18T12:27:04Z"}],"graph_snapshots":[{"event_id":"sha256:afecf99b39d8772de7f43ec5f2295642201a8447f0d7083ba4ac81c246cc36ea","target":"graph","created_at":"2026-05-18T00:44:39Z","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":"Within the theory of general relativity gravitational phenomena are usually attributed to the curvature of four-dimensional spacetime. In this context we are often confronted with the question of how the concept of ordinary physical three-dimensional space fits into this picture. In this work we present a simple and intuitive model of space for both the Schwarzschild spacetime and the de Sitter spacetime in which physical space is defined as a specified set of freely moving reference particles. Using a combination of orthonormal basis fields and the usual formalism in a coordinate basis we cal","authors_text":"O. Gron, S. Braeck","cross_cats":["astro-ph.CO","astro-ph.SR"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2012-04-02T14:31:03Z","title":"A river model of space"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1204.0419","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":"sha256:92fe0bab8f81705eef4c60248450fee8976cd8e0cd9ccfc3be8a61ec34363548","target":"record","created_at":"2026-05-18T00:44:39Z","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":"756805c78a9a661919615661237980afddc6d15d1876e0365425304af0d7c674","cross_cats_sorted":["astro-ph.CO","astro-ph.SR"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2012-04-02T14:31:03Z","title_canon_sha256":"17f8e917ea7c0056016e6537daa3c34727daa77743b1360913e32af7ab72fc73"},"schema_version":"1.0","source":{"id":"1204.0419","kind":"arxiv","version":1}},"canonical_sha256":"20b00d6fe81871657d589b2d53e3bd23d912fd5b741a5a73a222ed4718e9e4e8","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"20b00d6fe81871657d589b2d53e3bd23d912fd5b741a5a73a222ed4718e9e4e8","first_computed_at":"2026-05-18T00:44:39.219251Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:44:39.219251Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"65IIijZQR1hoQJXmyFymXnmAGqjg7Z6oFFKHWisAWvEdXqbajtf42bUs0IT1COiOzP1foVFMs9rJLflV9iNTBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:44:39.219653Z","signed_message":"canonical_sha256_bytes"},"source_id":"1204.0419","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:92fe0bab8f81705eef4c60248450fee8976cd8e0cd9ccfc3be8a61ec34363548","sha256:afecf99b39d8772de7f43ec5f2295642201a8447f0d7083ba4ac81c246cc36ea"],"state_sha256":"22856b126fe888fd4c8f72b84c80bca5b4e7dc1c56e86b9c5a82653074967f58"}