{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:J3P72U3GD7AUNN6P6LP3LJSFXZ","short_pith_number":"pith:J3P72U3G","canonical_record":{"source":{"id":"1805.04463","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2018-05-11T16:04:39Z","cross_cats_sorted":["astro-ph.CO","physics.comp-ph"],"title_canon_sha256":"49bfd23a9d66c3338a080c89324c1e5f32e3dad8286883ebc544a625ac1b350a","abstract_canon_sha256":"cd2d2658d7d14a2b7c0b21f55013e9e0794808522722c9f3fc61e4712848c190"},"schema_version":"1.0"},"canonical_sha256":"4edffd53661fc146b7cff2dfb5a645be461f3d75e1ca5e626fc603a43489f81b","source":{"kind":"arxiv","id":"1805.04463","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1805.04463","created_at":"2026-05-18T00:16:10Z"},{"alias_kind":"arxiv_version","alias_value":"1805.04463v1","created_at":"2026-05-18T00:16:10Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1805.04463","created_at":"2026-05-18T00:16:10Z"},{"alias_kind":"pith_short_12","alias_value":"J3P72U3GD7AU","created_at":"2026-05-18T12:32:31Z"},{"alias_kind":"pith_short_16","alias_value":"J3P72U3GD7AUNN6P","created_at":"2026-05-18T12:32:31Z"},{"alias_kind":"pith_short_8","alias_value":"J3P72U3G","created_at":"2026-05-18T12:32:31Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:J3P72U3GD7AUNN6P6LP3LJSFXZ","target":"record","payload":{"canonical_record":{"source":{"id":"1805.04463","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2018-05-11T16:04:39Z","cross_cats_sorted":["astro-ph.CO","physics.comp-ph"],"title_canon_sha256":"49bfd23a9d66c3338a080c89324c1e5f32e3dad8286883ebc544a625ac1b350a","abstract_canon_sha256":"cd2d2658d7d14a2b7c0b21f55013e9e0794808522722c9f3fc61e4712848c190"},"schema_version":"1.0"},"canonical_sha256":"4edffd53661fc146b7cff2dfb5a645be461f3d75e1ca5e626fc603a43489f81b","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:16:10.260040Z","signature_b64":"d6aqga4iLF1kYl/3Heljb0iMeLpQSAHDNUVl/ASwEq6ar8flRzhNwnS3ONi0VfIdpnf/NKJI8NyRbDCKhH87CA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4edffd53661fc146b7cff2dfb5a645be461f3d75e1ca5e626fc603a43489f81b","last_reissued_at":"2026-05-18T00:16:10.259355Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:16:10.259355Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1805.04463","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":"2026-05-18T00:16:10Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"qMx2xYlnQfVQHQhl7RZSWQZ1AmEW7LgC5uMbWR6GtxoXdBODEmqiuUkTSTNx0CY7ROCxk2QjVkVAEWrk5XzRAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T15:44:32.560349Z"},"content_sha256":"f43cbfbfbdf2a3a08d1d3797062c1a863a19b13290cf4e77e3f05eb773d8dbd7","schema_version":"1.0","event_id":"sha256:f43cbfbfbdf2a3a08d1d3797062c1a863a19b13290cf4e77e3f05eb773d8dbd7"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:J3P72U3GD7AUNN6P6LP3LJSFXZ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"High Performance Algorithms for Quantum Gravity and Cosmology","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["astro-ph.CO","physics.comp-ph"],"primary_cat":"gr-qc","authors_text":"William J. Cunningham","submitted_at":"2018-05-11T16:04:39Z","abstract_excerpt":"Large scale numerical experiments are commonplace today in theoretical physics. The high performance algorithms described herein are the most compact, efficient methods known for representing and analyzing systems modeled well by sets or graphs. After studying how these implementations maximize instruction throughput and optimize memory access patterns, we apply them to causal set quantum gravity, in which spacetime is represented by a partially ordered set. We build upon the low-level set and graph algorithms to optimize the calculation of the causal set action, and then discuss how to measur"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1805.04463","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":"2026-05-18T00:16:10Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"9f4aWS7OP3qHod8GJKT1urXpIJuflAbGCsZ6SEucaZADfEDlvjRsVUA8+N56bRJd+KjUDcZOxZ4/7KvsVR5xCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T15:44:32.561054Z"},"content_sha256":"9de29caad8b6bf79c91509a83ea7f1ef038e2b04eeb7a843964da7121a764a06","schema_version":"1.0","event_id":"sha256:9de29caad8b6bf79c91509a83ea7f1ef038e2b04eeb7a843964da7121a764a06"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/J3P72U3GD7AUNN6P6LP3LJSFXZ/bundle.json","state_url":"https://pith.science/pith/J3P72U3GD7AUNN6P6LP3LJSFXZ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/J3P72U3GD7AUNN6P6LP3LJSFXZ/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":"2026-05-26T15:44:32Z","links":{"resolver":"https://pith.science/pith/J3P72U3GD7AUNN6P6LP3LJSFXZ","bundle":"https://pith.science/pith/J3P72U3GD7AUNN6P6LP3LJSFXZ/bundle.json","state":"https://pith.science/pith/J3P72U3GD7AUNN6P6LP3LJSFXZ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/J3P72U3GD7AUNN6P6LP3LJSFXZ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:J3P72U3GD7AUNN6P6LP3LJSFXZ","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":"cd2d2658d7d14a2b7c0b21f55013e9e0794808522722c9f3fc61e4712848c190","cross_cats_sorted":["astro-ph.CO","physics.comp-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2018-05-11T16:04:39Z","title_canon_sha256":"49bfd23a9d66c3338a080c89324c1e5f32e3dad8286883ebc544a625ac1b350a"},"schema_version":"1.0","source":{"id":"1805.04463","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1805.04463","created_at":"2026-05-18T00:16:10Z"},{"alias_kind":"arxiv_version","alias_value":"1805.04463v1","created_at":"2026-05-18T00:16:10Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1805.04463","created_at":"2026-05-18T00:16:10Z"},{"alias_kind":"pith_short_12","alias_value":"J3P72U3GD7AU","created_at":"2026-05-18T12:32:31Z"},{"alias_kind":"pith_short_16","alias_value":"J3P72U3GD7AUNN6P","created_at":"2026-05-18T12:32:31Z"},{"alias_kind":"pith_short_8","alias_value":"J3P72U3G","created_at":"2026-05-18T12:32:31Z"}],"graph_snapshots":[{"event_id":"sha256:9de29caad8b6bf79c91509a83ea7f1ef038e2b04eeb7a843964da7121a764a06","target":"graph","created_at":"2026-05-18T00:16:10Z","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":"Large scale numerical experiments are commonplace today in theoretical physics. The high performance algorithms described herein are the most compact, efficient methods known for representing and analyzing systems modeled well by sets or graphs. After studying how these implementations maximize instruction throughput and optimize memory access patterns, we apply them to causal set quantum gravity, in which spacetime is represented by a partially ordered set. We build upon the low-level set and graph algorithms to optimize the calculation of the causal set action, and then discuss how to measur","authors_text":"William J. Cunningham","cross_cats":["astro-ph.CO","physics.comp-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2018-05-11T16:04:39Z","title":"High Performance Algorithms for Quantum Gravity and Cosmology"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1805.04463","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:f43cbfbfbdf2a3a08d1d3797062c1a863a19b13290cf4e77e3f05eb773d8dbd7","target":"record","created_at":"2026-05-18T00:16:10Z","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":"cd2d2658d7d14a2b7c0b21f55013e9e0794808522722c9f3fc61e4712848c190","cross_cats_sorted":["astro-ph.CO","physics.comp-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2018-05-11T16:04:39Z","title_canon_sha256":"49bfd23a9d66c3338a080c89324c1e5f32e3dad8286883ebc544a625ac1b350a"},"schema_version":"1.0","source":{"id":"1805.04463","kind":"arxiv","version":1}},"canonical_sha256":"4edffd53661fc146b7cff2dfb5a645be461f3d75e1ca5e626fc603a43489f81b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4edffd53661fc146b7cff2dfb5a645be461f3d75e1ca5e626fc603a43489f81b","first_computed_at":"2026-05-18T00:16:10.259355Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:16:10.259355Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"d6aqga4iLF1kYl/3Heljb0iMeLpQSAHDNUVl/ASwEq6ar8flRzhNwnS3ONi0VfIdpnf/NKJI8NyRbDCKhH87CA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:16:10.260040Z","signed_message":"canonical_sha256_bytes"},"source_id":"1805.04463","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f43cbfbfbdf2a3a08d1d3797062c1a863a19b13290cf4e77e3f05eb773d8dbd7","sha256:9de29caad8b6bf79c91509a83ea7f1ef038e2b04eeb7a843964da7121a764a06"],"state_sha256":"9a7e71e930a30eedb0263f19c52d998ccc224472838f1fbd81467fb27e4d6fd4"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"wfGsdPrF+ywOovZ3FUfbcY7EXaQtQrzKSV4AL3F6N+ASfIt3ILhYpY2CZ6viWzkqdAQB4E31PuEMI6rkzkw1Bg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-26T15:44:32.564874Z","bundle_sha256":"850f822924ee59bce1856a97e651a973d7ed40f6ec6598121b635d4b58a249e6"}}