{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2019:FZJFGTGXXA2S6AJLKRROBOHRJM","short_pith_number":"pith:FZJFGTGX","canonical_record":{"source":{"id":"1906.07113","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2019-06-17T16:28:47Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"1ea0f9cc515c28ffc213f06319e3440e39986be04b3e872c77f5375f774744ff","abstract_canon_sha256":"62e689e6f4c208fc37556a18bd3987bc3ba4016536a5be691a86a5baddd9d496"},"schema_version":"1.0"},"canonical_sha256":"2e52534cd7b8352f012b5462e0b8f14b122de6fd78bda9ad25aaf411d15fd0b6","source":{"kind":"arxiv","id":"1906.07113","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1906.07113","created_at":"2026-07-04T23:52:36Z"},{"alias_kind":"arxiv_version","alias_value":"1906.07113v1","created_at":"2026-07-04T23:52:36Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1906.07113","created_at":"2026-07-04T23:52:36Z"},{"alias_kind":"pith_short_12","alias_value":"FZJFGTGXXA2S","created_at":"2026-07-04T23:52:36Z"},{"alias_kind":"pith_short_16","alias_value":"FZJFGTGXXA2S6AJL","created_at":"2026-07-04T23:52:36Z"},{"alias_kind":"pith_short_8","alias_value":"FZJFGTGX","created_at":"2026-07-04T23:52:36Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2019:FZJFGTGXXA2S6AJLKRROBOHRJM","target":"record","payload":{"canonical_record":{"source":{"id":"1906.07113","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2019-06-17T16:28:47Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"1ea0f9cc515c28ffc213f06319e3440e39986be04b3e872c77f5375f774744ff","abstract_canon_sha256":"62e689e6f4c208fc37556a18bd3987bc3ba4016536a5be691a86a5baddd9d496"},"schema_version":"1.0"},"canonical_sha256":"2e52534cd7b8352f012b5462e0b8f14b122de6fd78bda9ad25aaf411d15fd0b6","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T23:52:36.215339Z","signature_b64":"/vLEQtAnfab+7n+nGuh6VTY4Lma8jOljesyDvdIW3pljhBeZuhYIS0PajrtQTSPwWrEnFmLQtQKRH+eiCWaFCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2e52534cd7b8352f012b5462e0b8f14b122de6fd78bda9ad25aaf411d15fd0b6","last_reissued_at":"2026-07-04T23:52:36.214884Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T23:52:36.214884Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1906.07113","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":"2026-07-04T23:52:36Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"0agQ6AANPG/gDA+qsGjAq+0VvEodPmknqUZ0aXgHyol+VNwBm+IhsxX6bBLWQhv53/6/Vbr78ER2EiXCaVEwDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-06T08:53:44.362708Z"},"content_sha256":"843877619b94b455d3444afcdcd876b9c35454dc6186fb0788bce793bbb6802f","schema_version":"1.0","event_id":"sha256:843877619b94b455d3444afcdcd876b9c35454dc6186fb0788bce793bbb6802f"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2019:FZJFGTGXXA2S6AJLKRROBOHRJM","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Generalized Gibbs Ensembles in Discrete Quantum Gravity","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th"],"primary_cat":"gr-qc","authors_text":"Goffredo Chirco, Isha Kotecha","submitted_at":"2019-06-17T16:28:47Z","abstract_excerpt":"Maximum entropy principle and Souriau's symplectic generalization of Gibbs states have provided crucial insights leading to extensions of standard equilibrium statistical mechanics and thermodynamics. In this brief contribution, we show how such extensions are instrumental in the setting of discrete quantum gravity, towards providing a covariant statistical framework for the emergence of continuum spacetime. We discuss the significant role played by information-theoretic characterizations of equilibrium. We present the Gibbs state description of the geometry of a tetrahedron and its quantizati"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1906.07113","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/1906.07113/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-07-04T23:52:36Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"udG0y1qihhvbr/yy1ht2L2bMiWBBoUZ/9B9yz0Ass13oYfEoQv+LJLT0tnsazpe2js2TLodaYZ4fzyRgFHqoCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-06T08:53:44.363075Z"},"content_sha256":"d53cd6002ddb998e667550761ab653ce8c57bc4dbeba8c47e030e35b10fd7bd2","schema_version":"1.0","event_id":"sha256:d53cd6002ddb998e667550761ab653ce8c57bc4dbeba8c47e030e35b10fd7bd2"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/FZJFGTGXXA2S6AJLKRROBOHRJM/bundle.json","state_url":"https://pith.science/pith/FZJFGTGXXA2S6AJLKRROBOHRJM/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/FZJFGTGXXA2S6AJLKRROBOHRJM/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":"2026-07-06T08:53:44Z","links":{"resolver":"https://pith.science/pith/FZJFGTGXXA2S6AJLKRROBOHRJM","bundle":"https://pith.science/pith/FZJFGTGXXA2S6AJLKRROBOHRJM/bundle.json","state":"https://pith.science/pith/FZJFGTGXXA2S6AJLKRROBOHRJM/state.json","well_known_bundle":"https://pith.science/.well-known/pith/FZJFGTGXXA2S6AJLKRROBOHRJM/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:FZJFGTGXXA2S6AJLKRROBOHRJM","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":"62e689e6f4c208fc37556a18bd3987bc3ba4016536a5be691a86a5baddd9d496","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2019-06-17T16:28:47Z","title_canon_sha256":"1ea0f9cc515c28ffc213f06319e3440e39986be04b3e872c77f5375f774744ff"},"schema_version":"1.0","source":{"id":"1906.07113","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1906.07113","created_at":"2026-07-04T23:52:36Z"},{"alias_kind":"arxiv_version","alias_value":"1906.07113v1","created_at":"2026-07-04T23:52:36Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1906.07113","created_at":"2026-07-04T23:52:36Z"},{"alias_kind":"pith_short_12","alias_value":"FZJFGTGXXA2S","created_at":"2026-07-04T23:52:36Z"},{"alias_kind":"pith_short_16","alias_value":"FZJFGTGXXA2S6AJL","created_at":"2026-07-04T23:52:36Z"},{"alias_kind":"pith_short_8","alias_value":"FZJFGTGX","created_at":"2026-07-04T23:52:36Z"}],"graph_snapshots":[{"event_id":"sha256:d53cd6002ddb998e667550761ab653ce8c57bc4dbeba8c47e030e35b10fd7bd2","target":"graph","created_at":"2026-07-04T23:52:36Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/1906.07113/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Maximum entropy principle and Souriau's symplectic generalization of Gibbs states have provided crucial insights leading to extensions of standard equilibrium statistical mechanics and thermodynamics. In this brief contribution, we show how such extensions are instrumental in the setting of discrete quantum gravity, towards providing a covariant statistical framework for the emergence of continuum spacetime. We discuss the significant role played by information-theoretic characterizations of equilibrium. We present the Gibbs state description of the geometry of a tetrahedron and its quantizati","authors_text":"Goffredo Chirco, Isha Kotecha","cross_cats":["hep-th"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2019-06-17T16:28:47Z","title":"Generalized Gibbs Ensembles in Discrete Quantum Gravity"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1906.07113","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":"sha256:843877619b94b455d3444afcdcd876b9c35454dc6186fb0788bce793bbb6802f","target":"record","created_at":"2026-07-04T23:52:36Z","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":"62e689e6f4c208fc37556a18bd3987bc3ba4016536a5be691a86a5baddd9d496","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2019-06-17T16:28:47Z","title_canon_sha256":"1ea0f9cc515c28ffc213f06319e3440e39986be04b3e872c77f5375f774744ff"},"schema_version":"1.0","source":{"id":"1906.07113","kind":"arxiv","version":1}},"canonical_sha256":"2e52534cd7b8352f012b5462e0b8f14b122de6fd78bda9ad25aaf411d15fd0b6","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2e52534cd7b8352f012b5462e0b8f14b122de6fd78bda9ad25aaf411d15fd0b6","first_computed_at":"2026-07-04T23:52:36.214884Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T23:52:36.214884Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"/vLEQtAnfab+7n+nGuh6VTY4Lma8jOljesyDvdIW3pljhBeZuhYIS0PajrtQTSPwWrEnFmLQtQKRH+eiCWaFCg==","signature_status":"signed_v1","signed_at":"2026-07-04T23:52:36.215339Z","signed_message":"canonical_sha256_bytes"},"source_id":"1906.07113","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:843877619b94b455d3444afcdcd876b9c35454dc6186fb0788bce793bbb6802f","sha256:d53cd6002ddb998e667550761ab653ce8c57bc4dbeba8c47e030e35b10fd7bd2"],"state_sha256":"5a711c121f65f56c228ffa3905ed78c76f94b905456600545c257aa6fa9aec4d"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"s7jUHIQyWAUDE5AqXdOcEwceqEtitFb6KuWBdwVM9TTnzZEF8fQcPKx+vilmu72aHg6ymewkQtnLce9vSb9eBA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-06T08:53:44.365265Z","bundle_sha256":"c44b7d541520e561c98ba51b6322acf7d10f0945f9d7976573d6b4e94d84abc2"}}