{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:CY2CN3CIW47X45ECGEM4AUOLTF","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":"a0f456ac49e2f8edbd6094ed92858cbd9c89388cfb0a488873421d05e58f4891","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2016-11-02T20:13:31Z","title_canon_sha256":"219177a95c585fda8e43b45090f2f6912ea520b9c355764052a1a73c4232348e"},"schema_version":"1.0","source":{"id":"1611.00785","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1611.00785","created_at":"2026-05-18T00:46:13Z"},{"alias_kind":"arxiv_version","alias_value":"1611.00785v1","created_at":"2026-05-18T00:46:13Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1611.00785","created_at":"2026-05-18T00:46:13Z"},{"alias_kind":"pith_short_12","alias_value":"CY2CN3CIW47X","created_at":"2026-05-18T12:30:09Z"},{"alias_kind":"pith_short_16","alias_value":"CY2CN3CIW47X45EC","created_at":"2026-05-18T12:30:09Z"},{"alias_kind":"pith_short_8","alias_value":"CY2CN3CI","created_at":"2026-05-18T12:30:09Z"}],"graph_snapshots":[{"event_id":"sha256:2c5ed23e716f6a5d35a06d9a593c5f3d5369cbb3d550be39c78f376f0cd5857a","target":"graph","created_at":"2026-05-18T00:46:13Z","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 derive a formula for the spacetime volume of a small causal cone. We use this formula within the context of causal set theory to construct causal set expressions for certain geometric quantities relating to a spacetime with a spacelike hypersurface. We also consider a scalar field on the causal set, and obtain causal set expressions relating to its normal derivatives with respect to the hypersurface.","authors_text":"Ian Jubb","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2016-11-02T20:13:31Z","title":"The Geometry of Small Causal Cones"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1611.00785","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":"sha256:37cb553f609146b2f7c4012f6ac8036da09798157a8090f50172106940bf423e","target":"record","created_at":"2026-05-18T00:46:13Z","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":"a0f456ac49e2f8edbd6094ed92858cbd9c89388cfb0a488873421d05e58f4891","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2016-11-02T20:13:31Z","title_canon_sha256":"219177a95c585fda8e43b45090f2f6912ea520b9c355764052a1a73c4232348e"},"schema_version":"1.0","source":{"id":"1611.00785","kind":"arxiv","version":1}},"canonical_sha256":"163426ec48b73f7e74823119c051cb99498cbde265a6ef14a5292c891fe9f2f0","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"163426ec48b73f7e74823119c051cb99498cbde265a6ef14a5292c891fe9f2f0","first_computed_at":"2026-05-18T00:46:13.974083Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:46:13.974083Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Hxt5CL8yxU8p+X5wx/sdTGfuXM+SNY0aFbwvlWZwJa8j+K8SjXgymn2uiOebndycQhpOVCFWC4pR5Iqptw7yBw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:46:13.974682Z","signed_message":"canonical_sha256_bytes"},"source_id":"1611.00785","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:37cb553f609146b2f7c4012f6ac8036da09798157a8090f50172106940bf423e","sha256:2c5ed23e716f6a5d35a06d9a593c5f3d5369cbb3d550be39c78f376f0cd5857a"],"state_sha256":"656b08fe00ab14db78a353e87489c3c7a25b2585a3ac969b0c28debf8dd222c7"}