{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:1994:V3MJWSLKMLNOQ7COTAOH2BB6YD","short_pith_number":"pith:V3MJWSLK","canonical_record":{"source":{"id":"hep-lat/9401026","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"hep-lat","submitted_at":"1994-01-21T17:25:22Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"6fc020836dac1c344bcd6b06a970eb123c9590474d556bac842b0ae6fbef0026","abstract_canon_sha256":"1ad41d27c0df65cbca70ce3674ca796cd8acf9e037a704bda06103ff94fc57a5"},"schema_version":"1.0"},"canonical_sha256":"aed89b496a62dae87c4e981c7d043ec0f15c006e1f4d5852ccc38272689bff6b","source":{"kind":"arxiv","id":"hep-lat/9401026","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-lat/9401026","created_at":"2026-05-18T04:23:55Z"},{"alias_kind":"arxiv_version","alias_value":"hep-lat/9401026v1","created_at":"2026-05-18T04:23:55Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-lat/9401026","created_at":"2026-05-18T04:23:55Z"},{"alias_kind":"pith_short_12","alias_value":"V3MJWSLKMLNO","created_at":"2026-05-18T12:25:47Z"},{"alias_kind":"pith_short_16","alias_value":"V3MJWSLKMLNOQ7CO","created_at":"2026-05-18T12:25:47Z"},{"alias_kind":"pith_short_8","alias_value":"V3MJWSLK","created_at":"2026-05-18T12:25:47Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:1994:V3MJWSLKMLNOQ7COTAOH2BB6YD","target":"record","payload":{"canonical_record":{"source":{"id":"hep-lat/9401026","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"hep-lat","submitted_at":"1994-01-21T17:25:22Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"6fc020836dac1c344bcd6b06a970eb123c9590474d556bac842b0ae6fbef0026","abstract_canon_sha256":"1ad41d27c0df65cbca70ce3674ca796cd8acf9e037a704bda06103ff94fc57a5"},"schema_version":"1.0"},"canonical_sha256":"aed89b496a62dae87c4e981c7d043ec0f15c006e1f4d5852ccc38272689bff6b","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:23:55.332899Z","signature_b64":"EMq5bN9mU/SvUm9MI+rdrQAP9YtLmIUUzkYy1rJQ11RR4nNTqFGoW5qbLoYB9fnBU7fccnOS6q5vu0Ua841KDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"aed89b496a62dae87c4e981c7d043ec0f15c006e1f4d5852ccc38272689bff6b","last_reissued_at":"2026-05-18T04:23:55.332308Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:23:55.332308Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"hep-lat/9401026","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":"2026-05-18T04:23:55Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"y3gQtJKOETWqAXZ/JVzmSEBKgm4MIZoLyJkkmKl6gWRmGP87uMUGPenotR1SJvf9MebnZoOxCm3MCQCJGBA2Cg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T19:56:03.708521Z"},"content_sha256":"a8f3ce5711e9dd851c9760a0a9cf057edbabde040d54291602ff2184c45556f9","schema_version":"1.0","event_id":"sha256:a8f3ce5711e9dd851c9760a0a9cf057edbabde040d54291602ff2184c45556f9"},{"event_type":"graph_snapshot","subject_pith_number":"pith:1994:V3MJWSLKMLNOQ7COTAOH2BB6YD","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Phase Structure of Four Dimensional Simplicial Quantum Gravity","license":"","headline":"","cross_cats":["hep-th"],"primary_cat":"hep-lat","authors_text":"J. Kogut, R. Renken, S. Catterall","submitted_at":"1994-01-21T17:25:22Z","abstract_excerpt":"We present the results of a high statistics Monte Carlo study of a model for four dimensional euclidean quantum gravity based on summing over triangulations. We show evidence for two phases; in one there is a logarithmic scaling on the mean linear extent with volume, whilst the other exhibits power law behaviour with exponent 1/2. We are able to extract a finite size scaling exponent governing the growth of the susceptibility peak"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-lat/9401026","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":"2026-05-18T04:23:55Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ad3Z3+XvNaFwa3tZK7aDhIXuIlzy5J2Iu0IWOSVKO9JhDa16w4wzPYTcYDOae77pd8S2vNUmCJ3ZQXJdqzc+AA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T19:56:03.708869Z"},"content_sha256":"b638c4c0a223499b6a10a41b6c1beadf9acf727c3b4ed7e1dcaacef2a91f1552","schema_version":"1.0","event_id":"sha256:b638c4c0a223499b6a10a41b6c1beadf9acf727c3b4ed7e1dcaacef2a91f1552"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/V3MJWSLKMLNOQ7COTAOH2BB6YD/bundle.json","state_url":"https://pith.science/pith/V3MJWSLKMLNOQ7COTAOH2BB6YD/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/V3MJWSLKMLNOQ7COTAOH2BB6YD/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":"2026-05-27T19:56:03Z","links":{"resolver":"https://pith.science/pith/V3MJWSLKMLNOQ7COTAOH2BB6YD","bundle":"https://pith.science/pith/V3MJWSLKMLNOQ7COTAOH2BB6YD/bundle.json","state":"https://pith.science/pith/V3MJWSLKMLNOQ7COTAOH2BB6YD/state.json","well_known_bundle":"https://pith.science/.well-known/pith/V3MJWSLKMLNOQ7COTAOH2BB6YD/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:1994:V3MJWSLKMLNOQ7COTAOH2BB6YD","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":"1ad41d27c0df65cbca70ce3674ca796cd8acf9e037a704bda06103ff94fc57a5","cross_cats_sorted":["hep-th"],"license":"","primary_cat":"hep-lat","submitted_at":"1994-01-21T17:25:22Z","title_canon_sha256":"6fc020836dac1c344bcd6b06a970eb123c9590474d556bac842b0ae6fbef0026"},"schema_version":"1.0","source":{"id":"hep-lat/9401026","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-lat/9401026","created_at":"2026-05-18T04:23:55Z"},{"alias_kind":"arxiv_version","alias_value":"hep-lat/9401026v1","created_at":"2026-05-18T04:23:55Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-lat/9401026","created_at":"2026-05-18T04:23:55Z"},{"alias_kind":"pith_short_12","alias_value":"V3MJWSLKMLNO","created_at":"2026-05-18T12:25:47Z"},{"alias_kind":"pith_short_16","alias_value":"V3MJWSLKMLNOQ7CO","created_at":"2026-05-18T12:25:47Z"},{"alias_kind":"pith_short_8","alias_value":"V3MJWSLK","created_at":"2026-05-18T12:25:47Z"}],"graph_snapshots":[{"event_id":"sha256:b638c4c0a223499b6a10a41b6c1beadf9acf727c3b4ed7e1dcaacef2a91f1552","target":"graph","created_at":"2026-05-18T04:23:55Z","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 present the results of a high statistics Monte Carlo study of a model for four dimensional euclidean quantum gravity based on summing over triangulations. We show evidence for two phases; in one there is a logarithmic scaling on the mean linear extent with volume, whilst the other exhibits power law behaviour with exponent 1/2. We are able to extract a finite size scaling exponent governing the growth of the susceptibility peak","authors_text":"J. Kogut, R. Renken, S. Catterall","cross_cats":["hep-th"],"headline":"","license":"","primary_cat":"hep-lat","submitted_at":"1994-01-21T17:25:22Z","title":"Phase Structure of Four Dimensional Simplicial Quantum Gravity"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-lat/9401026","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:a8f3ce5711e9dd851c9760a0a9cf057edbabde040d54291602ff2184c45556f9","target":"record","created_at":"2026-05-18T04:23:55Z","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":"1ad41d27c0df65cbca70ce3674ca796cd8acf9e037a704bda06103ff94fc57a5","cross_cats_sorted":["hep-th"],"license":"","primary_cat":"hep-lat","submitted_at":"1994-01-21T17:25:22Z","title_canon_sha256":"6fc020836dac1c344bcd6b06a970eb123c9590474d556bac842b0ae6fbef0026"},"schema_version":"1.0","source":{"id":"hep-lat/9401026","kind":"arxiv","version":1}},"canonical_sha256":"aed89b496a62dae87c4e981c7d043ec0f15c006e1f4d5852ccc38272689bff6b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"aed89b496a62dae87c4e981c7d043ec0f15c006e1f4d5852ccc38272689bff6b","first_computed_at":"2026-05-18T04:23:55.332308Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:23:55.332308Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"EMq5bN9mU/SvUm9MI+rdrQAP9YtLmIUUzkYy1rJQ11RR4nNTqFGoW5qbLoYB9fnBU7fccnOS6q5vu0Ua841KDA==","signature_status":"signed_v1","signed_at":"2026-05-18T04:23:55.332899Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-lat/9401026","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a8f3ce5711e9dd851c9760a0a9cf057edbabde040d54291602ff2184c45556f9","sha256:b638c4c0a223499b6a10a41b6c1beadf9acf727c3b4ed7e1dcaacef2a91f1552"],"state_sha256":"a5155eda913ccc7ade28a260b57d40a5319b1566f1b4cb5d3908f49eafccd126"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"hwKnLLsJ/6YA5uk0mPLGAo3aYDGW4Mi9/yRc9BPbVKjjOOatcF/x23WSHiJokaO+5ejq1PcRJHlhQKYd8dK6Dw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-27T19:56:03.711179Z","bundle_sha256":"7c711a2d59d02afc520d47c7a8eb4d4fdcac613ac5c3c27219f0a970248bfa8e"}}