{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:VLIQU5RS45TYCUEYMRMMPCFOFJ","short_pith_number":"pith:VLIQU5RS","canonical_record":{"source":{"id":"1505.00067","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2015-05-01T01:49:07Z","cross_cats_sorted":[],"title_canon_sha256":"ebe8a0c8628658efff2165ed17a514c4e569db5dc1fae69baeba0f7d3c134c20","abstract_canon_sha256":"7734444fddda0ae06745e86ed993934f40101d943155fcc91f0bcc8b30d3f9a6"},"schema_version":"1.0"},"canonical_sha256":"aad10a7632e7678150986458c788ae2a470517e274a8bbc43db8fef7ab18d814","source":{"kind":"arxiv","id":"1505.00067","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1505.00067","created_at":"2026-05-18T01:32:29Z"},{"alias_kind":"arxiv_version","alias_value":"1505.00067v1","created_at":"2026-05-18T01:32:29Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1505.00067","created_at":"2026-05-18T01:32:29Z"},{"alias_kind":"pith_short_12","alias_value":"VLIQU5RS45TY","created_at":"2026-05-18T12:29:44Z"},{"alias_kind":"pith_short_16","alias_value":"VLIQU5RS45TYCUEY","created_at":"2026-05-18T12:29:44Z"},{"alias_kind":"pith_short_8","alias_value":"VLIQU5RS","created_at":"2026-05-18T12:29:44Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:VLIQU5RS45TYCUEYMRMMPCFOFJ","target":"record","payload":{"canonical_record":{"source":{"id":"1505.00067","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2015-05-01T01:49:07Z","cross_cats_sorted":[],"title_canon_sha256":"ebe8a0c8628658efff2165ed17a514c4e569db5dc1fae69baeba0f7d3c134c20","abstract_canon_sha256":"7734444fddda0ae06745e86ed993934f40101d943155fcc91f0bcc8b30d3f9a6"},"schema_version":"1.0"},"canonical_sha256":"aad10a7632e7678150986458c788ae2a470517e274a8bbc43db8fef7ab18d814","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:32:29.601984Z","signature_b64":"Va52LOMxsbhXnHWDiEBHAiYHY8uVMfnnDnODOX8Z0CKuxw47NK5GiKVw8aul/kbLVfQ9QOtwm//tAGF7xIOVDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"aad10a7632e7678150986458c788ae2a470517e274a8bbc43db8fef7ab18d814","last_reissued_at":"2026-05-18T01:32:29.601512Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:32:29.601512Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1505.00067","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:32:29Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"HYP91R5DLPvhMa6oUclTeRDyBwCYpqSf5f2qaSbEwq8oN1wYzINeBYZxDPxIRQp8Tsdi5btxy1wdL8D1K5quDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-26T05:48:09.155037Z"},"content_sha256":"01202c425dcd60aee118833a387222fe8ce73a5f85375a23d75e924746ad38f6","schema_version":"1.0","event_id":"sha256:01202c425dcd60aee118833a387222fe8ce73a5f85375a23d75e924746ad38f6"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:VLIQU5RS45TYCUEYMRMMPCFOFJ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A numerical study of the Regge Calculus and Smooth Lattice methods on a Kasner cosmology","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"Leo Brewin","submitted_at":"2015-05-01T01:49:07Z","abstract_excerpt":"Two lattice based methods for numerical relativity, the Regge Calculus and the Smooth Lattice Relativity, will be compared with respect to accuracy and computational speed in a full 3+1 evolution of initial data representing a standard Kasner cosmology. It will be shown that both methods provide convergent approximations to the exact Kasner cosmology. It will also be shown that the Regge Calculus is of the order of 110 times slower than the Smooth Lattice method."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1505.00067","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:32:29Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"7uQvNFgUZQk/ZPmaHCy4Vh4bcd/g9MCepuwGKlOsN+FuAZUoIBgD9xqQUhIqzQ5/dCSIzm/Wbcd1i2UvhoElBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-26T05:48:09.155391Z"},"content_sha256":"5adffbe412f6d2174cdb7e71cd6531fbde9f9e765df228f6bb70473f2fec2efb","schema_version":"1.0","event_id":"sha256:5adffbe412f6d2174cdb7e71cd6531fbde9f9e765df228f6bb70473f2fec2efb"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/VLIQU5RS45TYCUEYMRMMPCFOFJ/bundle.json","state_url":"https://pith.science/pith/VLIQU5RS45TYCUEYMRMMPCFOFJ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/VLIQU5RS45TYCUEYMRMMPCFOFJ/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-06-26T05:48:09Z","links":{"resolver":"https://pith.science/pith/VLIQU5RS45TYCUEYMRMMPCFOFJ","bundle":"https://pith.science/pith/VLIQU5RS45TYCUEYMRMMPCFOFJ/bundle.json","state":"https://pith.science/pith/VLIQU5RS45TYCUEYMRMMPCFOFJ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/VLIQU5RS45TYCUEYMRMMPCFOFJ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:VLIQU5RS45TYCUEYMRMMPCFOFJ","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":"7734444fddda0ae06745e86ed993934f40101d943155fcc91f0bcc8b30d3f9a6","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2015-05-01T01:49:07Z","title_canon_sha256":"ebe8a0c8628658efff2165ed17a514c4e569db5dc1fae69baeba0f7d3c134c20"},"schema_version":"1.0","source":{"id":"1505.00067","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1505.00067","created_at":"2026-05-18T01:32:29Z"},{"alias_kind":"arxiv_version","alias_value":"1505.00067v1","created_at":"2026-05-18T01:32:29Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1505.00067","created_at":"2026-05-18T01:32:29Z"},{"alias_kind":"pith_short_12","alias_value":"VLIQU5RS45TY","created_at":"2026-05-18T12:29:44Z"},{"alias_kind":"pith_short_16","alias_value":"VLIQU5RS45TYCUEY","created_at":"2026-05-18T12:29:44Z"},{"alias_kind":"pith_short_8","alias_value":"VLIQU5RS","created_at":"2026-05-18T12:29:44Z"}],"graph_snapshots":[{"event_id":"sha256:5adffbe412f6d2174cdb7e71cd6531fbde9f9e765df228f6bb70473f2fec2efb","target":"graph","created_at":"2026-05-18T01:32:29Z","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":"Two lattice based methods for numerical relativity, the Regge Calculus and the Smooth Lattice Relativity, will be compared with respect to accuracy and computational speed in a full 3+1 evolution of initial data representing a standard Kasner cosmology. It will be shown that both methods provide convergent approximations to the exact Kasner cosmology. It will also be shown that the Regge Calculus is of the order of 110 times slower than the Smooth Lattice method.","authors_text":"Leo Brewin","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2015-05-01T01:49:07Z","title":"A numerical study of the Regge Calculus and Smooth Lattice methods on a Kasner cosmology"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1505.00067","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":"sha256:01202c425dcd60aee118833a387222fe8ce73a5f85375a23d75e924746ad38f6","target":"record","created_at":"2026-05-18T01:32:29Z","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":"7734444fddda0ae06745e86ed993934f40101d943155fcc91f0bcc8b30d3f9a6","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2015-05-01T01:49:07Z","title_canon_sha256":"ebe8a0c8628658efff2165ed17a514c4e569db5dc1fae69baeba0f7d3c134c20"},"schema_version":"1.0","source":{"id":"1505.00067","kind":"arxiv","version":1}},"canonical_sha256":"aad10a7632e7678150986458c788ae2a470517e274a8bbc43db8fef7ab18d814","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"aad10a7632e7678150986458c788ae2a470517e274a8bbc43db8fef7ab18d814","first_computed_at":"2026-05-18T01:32:29.601512Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:32:29.601512Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Va52LOMxsbhXnHWDiEBHAiYHY8uVMfnnDnODOX8Z0CKuxw47NK5GiKVw8aul/kbLVfQ9QOtwm//tAGF7xIOVDg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:32:29.601984Z","signed_message":"canonical_sha256_bytes"},"source_id":"1505.00067","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:01202c425dcd60aee118833a387222fe8ce73a5f85375a23d75e924746ad38f6","sha256:5adffbe412f6d2174cdb7e71cd6531fbde9f9e765df228f6bb70473f2fec2efb"],"state_sha256":"ef4eb7a112fbdade3ae72df2cd1664c416527b13959869c011322f3e1685da25"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"k9F2p9M8uawhsNkgsjgg1GK7Fwl60xIlfc1bmm//saYiesySNhBvWygLmWtnrm04m6kCOq++7SuY2B07Tc/9BA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-26T05:48:09.157286Z","bundle_sha256":"1e62c3d80c397e6069906690724765b8934891ce006e53d7f01330cac35f5ef0"}}