{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:GACLPQLCCYNWS4Y7KF3JPORW6E","short_pith_number":"pith:GACLPQLC","canonical_record":{"source":{"id":"1812.06193","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2018-12-14T22:20:58Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"bf1e99a66d258b296899fe96a3b5e5d5ceffec4717ad1884f25e536a595a4778","abstract_canon_sha256":"0d7a4a7636165e52d6555679f722d779e5fe4fdd110fe0b62b2ff6cbe10a5e48"},"schema_version":"1.0"},"canonical_sha256":"3004b7c162161b69731f517697ba36f116d536848e8a9f9c199f3609e456035e","source":{"kind":"arxiv","id":"1812.06193","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1812.06193","created_at":"2026-05-17T23:44:42Z"},{"alias_kind":"arxiv_version","alias_value":"1812.06193v2","created_at":"2026-05-17T23:44:42Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1812.06193","created_at":"2026-05-17T23:44:42Z"},{"alias_kind":"pith_short_12","alias_value":"GACLPQLCCYNW","created_at":"2026-05-18T12:32:25Z"},{"alias_kind":"pith_short_16","alias_value":"GACLPQLCCYNWS4Y7","created_at":"2026-05-18T12:32:25Z"},{"alias_kind":"pith_short_8","alias_value":"GACLPQLC","created_at":"2026-05-18T12:32:25Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:GACLPQLCCYNWS4Y7KF3JPORW6E","target":"record","payload":{"canonical_record":{"source":{"id":"1812.06193","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2018-12-14T22:20:58Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"bf1e99a66d258b296899fe96a3b5e5d5ceffec4717ad1884f25e536a595a4778","abstract_canon_sha256":"0d7a4a7636165e52d6555679f722d779e5fe4fdd110fe0b62b2ff6cbe10a5e48"},"schema_version":"1.0"},"canonical_sha256":"3004b7c162161b69731f517697ba36f116d536848e8a9f9c199f3609e456035e","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:44:42.771988Z","signature_b64":"ignmbhytt1Ona3soAbPXBrEb8vCXvPj0PN+sVlFbWXpDUMrvRMlppbROB25VN3Vho9/wVZ7D9A0Gj7B280V1Ag==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3004b7c162161b69731f517697ba36f116d536848e8a9f9c199f3609e456035e","last_reissued_at":"2026-05-17T23:44:42.771581Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:44:42.771581Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1812.06193","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-17T23:44:42Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"0OO2XPfenpIdrP2zuuNacerWu5+t/MBDJY3FsI+DeOEc7dTTd6o61ZrMTMdbiR3BHCQQrKTh2nJOlLndSgKKDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-11T19:17:52.020720Z"},"content_sha256":"65584665c88f898d1e03d38bcf4bb90f1527a0da5177779dd875fc7bb5ca28ed","schema_version":"1.0","event_id":"sha256:65584665c88f898d1e03d38bcf4bb90f1527a0da5177779dd875fc7bb5ca28ed"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:GACLPQLCCYNWS4Y7KF3JPORW6E","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Tullio Regge's legacy: Regge calculus and discrete gravity","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th"],"primary_cat":"gr-qc","authors_text":"Daniele Oriti, John W. Barrett, Ruth M. Williams","submitted_at":"2018-12-14T22:20:58Z","abstract_excerpt":"The review paper \"Discrete Structures in Physics\", written in 2000, describes how Regge's discretization of Einstein's theory has been applied in classical relativity and quantum gravity. Here, developments since 2000 are reviewed briefly, with particular emphasis on progress in quantum gravity through spin foam models and group field theories."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1812.06193","kind":"arxiv","version":2},"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":"2026-05-17T23:44:42Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"1JVQOy9+L+h1zHP47ez7p0SU7V73iYfcaUBCDFd1dn1QqwmBNMSoLGmCUYk1zOPLh/uDDAJoMVL/1gc63tHWDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-11T19:17:52.021438Z"},"content_sha256":"a46d2abd48a340ad2fbabec9f634028f8ca8334fd5cf5823799617d05d258012","schema_version":"1.0","event_id":"sha256:a46d2abd48a340ad2fbabec9f634028f8ca8334fd5cf5823799617d05d258012"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/GACLPQLCCYNWS4Y7KF3JPORW6E/bundle.json","state_url":"https://pith.science/pith/GACLPQLCCYNWS4Y7KF3JPORW6E/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/GACLPQLCCYNWS4Y7KF3JPORW6E/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":"2026-08-11T19:17:52Z","links":{"resolver":"https://pith.science/pith/GACLPQLCCYNWS4Y7KF3JPORW6E","bundle":"https://pith.science/pith/GACLPQLCCYNWS4Y7KF3JPORW6E/bundle.json","state":"https://pith.science/pith/GACLPQLCCYNWS4Y7KF3JPORW6E/state.json","well_known_bundle":"https://pith.science/.well-known/pith/GACLPQLCCYNWS4Y7KF3JPORW6E/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:GACLPQLCCYNWS4Y7KF3JPORW6E","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":"0d7a4a7636165e52d6555679f722d779e5fe4fdd110fe0b62b2ff6cbe10a5e48","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2018-12-14T22:20:58Z","title_canon_sha256":"bf1e99a66d258b296899fe96a3b5e5d5ceffec4717ad1884f25e536a595a4778"},"schema_version":"1.0","source":{"id":"1812.06193","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1812.06193","created_at":"2026-05-17T23:44:42Z"},{"alias_kind":"arxiv_version","alias_value":"1812.06193v2","created_at":"2026-05-17T23:44:42Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1812.06193","created_at":"2026-05-17T23:44:42Z"},{"alias_kind":"pith_short_12","alias_value":"GACLPQLCCYNW","created_at":"2026-05-18T12:32:25Z"},{"alias_kind":"pith_short_16","alias_value":"GACLPQLCCYNWS4Y7","created_at":"2026-05-18T12:32:25Z"},{"alias_kind":"pith_short_8","alias_value":"GACLPQLC","created_at":"2026-05-18T12:32:25Z"}],"graph_snapshots":[{"event_id":"sha256:a46d2abd48a340ad2fbabec9f634028f8ca8334fd5cf5823799617d05d258012","target":"graph","created_at":"2026-05-17T23:44:42Z","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":"The review paper \"Discrete Structures in Physics\", written in 2000, describes how Regge's discretization of Einstein's theory has been applied in classical relativity and quantum gravity. Here, developments since 2000 are reviewed briefly, with particular emphasis on progress in quantum gravity through spin foam models and group field theories.","authors_text":"Daniele Oriti, John W. Barrett, Ruth M. Williams","cross_cats":["hep-th"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2018-12-14T22:20:58Z","title":"Tullio Regge's legacy: Regge calculus and discrete gravity"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1812.06193","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":"sha256:65584665c88f898d1e03d38bcf4bb90f1527a0da5177779dd875fc7bb5ca28ed","target":"record","created_at":"2026-05-17T23:44:42Z","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":"0d7a4a7636165e52d6555679f722d779e5fe4fdd110fe0b62b2ff6cbe10a5e48","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2018-12-14T22:20:58Z","title_canon_sha256":"bf1e99a66d258b296899fe96a3b5e5d5ceffec4717ad1884f25e536a595a4778"},"schema_version":"1.0","source":{"id":"1812.06193","kind":"arxiv","version":2}},"canonical_sha256":"3004b7c162161b69731f517697ba36f116d536848e8a9f9c199f3609e456035e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3004b7c162161b69731f517697ba36f116d536848e8a9f9c199f3609e456035e","first_computed_at":"2026-05-17T23:44:42.771581Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:44:42.771581Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ignmbhytt1Ona3soAbPXBrEb8vCXvPj0PN+sVlFbWXpDUMrvRMlppbROB25VN3Vho9/wVZ7D9A0Gj7B280V1Ag==","signature_status":"signed_v1","signed_at":"2026-05-17T23:44:42.771988Z","signed_message":"canonical_sha256_bytes"},"source_id":"1812.06193","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:65584665c88f898d1e03d38bcf4bb90f1527a0da5177779dd875fc7bb5ca28ed","sha256:a46d2abd48a340ad2fbabec9f634028f8ca8334fd5cf5823799617d05d258012"],"state_sha256":"0c5f911ea201cd104a935695a4e06534b035984c9b620ed8ab862f0712358ab9"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"e76xdfHcTpMwjsqWsVG95218+7MErKyUwg9xRxEvjAHG/+C4HM0cliex+RwqNEi8kd22n12uYFToCNlJaGQYBg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-11T19:17:52.041553Z","bundle_sha256":"cfd95857ac42d0d4a57c1ec1d30c65f4f4e28375243b197d3414d944fb9dba7f"}}