{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:CPSRJIYC3ZGJTIBCJPL4DRRAYV","short_pith_number":"pith:CPSRJIYC","canonical_record":{"source":{"id":"1802.10524","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2018-02-28T16:34:21Z","cross_cats_sorted":["gr-qc","hep-lat"],"title_canon_sha256":"3f8489e07a26fd3667dc214ac7a431d08afcd551373634690a4b4515f6be8682","abstract_canon_sha256":"b748a7183e525ec7e9284f9dd2ce51883e365390fc1b7eb4341c798ba8a3a4d4"},"schema_version":"1.0"},"canonical_sha256":"13e514a302de4c99a0224bd7c1c620c56c75b9120b2f634b1450dfe00f246190","source":{"kind":"arxiv","id":"1802.10524","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1802.10524","created_at":"2026-05-18T00:14:46Z"},{"alias_kind":"arxiv_version","alias_value":"1802.10524v1","created_at":"2026-05-18T00:14:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1802.10524","created_at":"2026-05-18T00:14:46Z"},{"alias_kind":"pith_short_12","alias_value":"CPSRJIYC3ZGJ","created_at":"2026-05-18T12:32:16Z"},{"alias_kind":"pith_short_16","alias_value":"CPSRJIYC3ZGJTIBC","created_at":"2026-05-18T12:32:16Z"},{"alias_kind":"pith_short_8","alias_value":"CPSRJIYC","created_at":"2026-05-18T12:32:16Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:CPSRJIYC3ZGJTIBCJPL4DRRAYV","target":"record","payload":{"canonical_record":{"source":{"id":"1802.10524","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2018-02-28T16:34:21Z","cross_cats_sorted":["gr-qc","hep-lat"],"title_canon_sha256":"3f8489e07a26fd3667dc214ac7a431d08afcd551373634690a4b4515f6be8682","abstract_canon_sha256":"b748a7183e525ec7e9284f9dd2ce51883e365390fc1b7eb4341c798ba8a3a4d4"},"schema_version":"1.0"},"canonical_sha256":"13e514a302de4c99a0224bd7c1c620c56c75b9120b2f634b1450dfe00f246190","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:14:46.160108Z","signature_b64":"YjERi3UjAmsDNklMSntcPZH0soEj8CaolX5gVGXTyQhHbzzMWh8jYItoKhsiug5gQwG6QDiwfSs4Kg46PlHWAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"13e514a302de4c99a0224bd7c1c620c56c75b9120b2f634b1450dfe00f246190","last_reissued_at":"2026-05-18T00:14:46.159632Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:14:46.159632Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1802.10524","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":"2026-05-18T00:14:46Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"upx8QMKncxeuneL5PzYEuCG++YWUWN/D2SO6YyYniJuDyuGVmrwIUV3dub0QS3OupQ7fjfHT/x7EVMY2C/aIBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T11:31:48.937715Z"},"content_sha256":"4ac16c9764d0a7c6f73cb526803d2ce40ccbdbe85ad90be4ef00b7ac97903c17","schema_version":"1.0","event_id":"sha256:4ac16c9764d0a7c6f73cb526803d2ce40ccbdbe85ad90be4ef00b7ac97903c17"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:CPSRJIYC3ZGJTIBCJPL4DRRAYV","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Quantizing quantum Ricci curvature","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["gr-qc","hep-lat"],"primary_cat":"hep-th","authors_text":"N. Klitgaard, R. Loll","submitted_at":"2018-02-28T16:34:21Z","abstract_excerpt":"Quantum Ricci curvature has been introduced recently as a new, geometric observable characterizing the curvature properties of metric spaces, without the need for a smooth structure. Besides coordinate invariance, its key features are scalability, computability and robustness. We demonstrate that these properties continue to hold in the context of nonperturbative quantum gravity, by evaluating the quantum Ricci curvature numerically in two-dimensional Euclidean quantum gravity, defined in terms of dynamical triangulations. Despite the well-known, highly nonclassical properties of the underlyin"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1802.10524","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":"2026-05-18T00:14:46Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"n65eP/E/nVPFqJKVn24oBNcTLiys6dI6pHZbAgdNpMLzDvA6t9U+v3s86owxb+ILBr8tFxk755Yk6oK9g2ieDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T11:31:48.938111Z"},"content_sha256":"46afccdb7e695b0fc2fd9b8dbc3cdbc8675f0b906d56737b77f8eb25af6e2a63","schema_version":"1.0","event_id":"sha256:46afccdb7e695b0fc2fd9b8dbc3cdbc8675f0b906d56737b77f8eb25af6e2a63"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/CPSRJIYC3ZGJTIBCJPL4DRRAYV/bundle.json","state_url":"https://pith.science/pith/CPSRJIYC3ZGJTIBCJPL4DRRAYV/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/CPSRJIYC3ZGJTIBCJPL4DRRAYV/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":"2026-06-01T11:31:48Z","links":{"resolver":"https://pith.science/pith/CPSRJIYC3ZGJTIBCJPL4DRRAYV","bundle":"https://pith.science/pith/CPSRJIYC3ZGJTIBCJPL4DRRAYV/bundle.json","state":"https://pith.science/pith/CPSRJIYC3ZGJTIBCJPL4DRRAYV/state.json","well_known_bundle":"https://pith.science/.well-known/pith/CPSRJIYC3ZGJTIBCJPL4DRRAYV/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:CPSRJIYC3ZGJTIBCJPL4DRRAYV","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":"b748a7183e525ec7e9284f9dd2ce51883e365390fc1b7eb4341c798ba8a3a4d4","cross_cats_sorted":["gr-qc","hep-lat"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2018-02-28T16:34:21Z","title_canon_sha256":"3f8489e07a26fd3667dc214ac7a431d08afcd551373634690a4b4515f6be8682"},"schema_version":"1.0","source":{"id":"1802.10524","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1802.10524","created_at":"2026-05-18T00:14:46Z"},{"alias_kind":"arxiv_version","alias_value":"1802.10524v1","created_at":"2026-05-18T00:14:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1802.10524","created_at":"2026-05-18T00:14:46Z"},{"alias_kind":"pith_short_12","alias_value":"CPSRJIYC3ZGJ","created_at":"2026-05-18T12:32:16Z"},{"alias_kind":"pith_short_16","alias_value":"CPSRJIYC3ZGJTIBC","created_at":"2026-05-18T12:32:16Z"},{"alias_kind":"pith_short_8","alias_value":"CPSRJIYC","created_at":"2026-05-18T12:32:16Z"}],"graph_snapshots":[{"event_id":"sha256:46afccdb7e695b0fc2fd9b8dbc3cdbc8675f0b906d56737b77f8eb25af6e2a63","target":"graph","created_at":"2026-05-18T00:14:46Z","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":"Quantum Ricci curvature has been introduced recently as a new, geometric observable characterizing the curvature properties of metric spaces, without the need for a smooth structure. Besides coordinate invariance, its key features are scalability, computability and robustness. We demonstrate that these properties continue to hold in the context of nonperturbative quantum gravity, by evaluating the quantum Ricci curvature numerically in two-dimensional Euclidean quantum gravity, defined in terms of dynamical triangulations. Despite the well-known, highly nonclassical properties of the underlyin","authors_text":"N. Klitgaard, R. Loll","cross_cats":["gr-qc","hep-lat"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2018-02-28T16:34:21Z","title":"Quantizing quantum Ricci curvature"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1802.10524","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":"sha256:4ac16c9764d0a7c6f73cb526803d2ce40ccbdbe85ad90be4ef00b7ac97903c17","target":"record","created_at":"2026-05-18T00:14:46Z","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":"b748a7183e525ec7e9284f9dd2ce51883e365390fc1b7eb4341c798ba8a3a4d4","cross_cats_sorted":["gr-qc","hep-lat"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2018-02-28T16:34:21Z","title_canon_sha256":"3f8489e07a26fd3667dc214ac7a431d08afcd551373634690a4b4515f6be8682"},"schema_version":"1.0","source":{"id":"1802.10524","kind":"arxiv","version":1}},"canonical_sha256":"13e514a302de4c99a0224bd7c1c620c56c75b9120b2f634b1450dfe00f246190","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"13e514a302de4c99a0224bd7c1c620c56c75b9120b2f634b1450dfe00f246190","first_computed_at":"2026-05-18T00:14:46.159632Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:14:46.159632Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"YjERi3UjAmsDNklMSntcPZH0soEj8CaolX5gVGXTyQhHbzzMWh8jYItoKhsiug5gQwG6QDiwfSs4Kg46PlHWAw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:14:46.160108Z","signed_message":"canonical_sha256_bytes"},"source_id":"1802.10524","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4ac16c9764d0a7c6f73cb526803d2ce40ccbdbe85ad90be4ef00b7ac97903c17","sha256:46afccdb7e695b0fc2fd9b8dbc3cdbc8675f0b906d56737b77f8eb25af6e2a63"],"state_sha256":"72fb70c1252ceaba7b34b756c700915395cdc86db68018e9eaef68448aceddfe"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"U4m38zTZnCVBiBf1OVMlK8rZ3UP4MFCyVOSDi9eVVVZCLLMAggMRub3cC2uYLtVTrwzlhTMoy5S+4Mq4o6s/BA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-01T11:31:48.942819Z","bundle_sha256":"19f6ee7778c71f722a394965dc5b318cb1f608db5d5425995d9d01955b5bdb4c"}}