{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:6EHH7MFZQUNP4W6XAU4TDPHJFO","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":"2e17f0831fd7f59982b8f9f79af3ad89bce05ec0aeb6fa3a8eabc6ca4f478bb0","cross_cats_sorted":["gr-qc","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2017-04-04T18:20:56Z","title_canon_sha256":"638b3e27f059eb466a50201f116d6ffb79647b490ed5fd2c19c189f55cb50b04"},"schema_version":"1.0","source":{"id":"1704.01141","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1704.01141","created_at":"2026-05-18T00:28:15Z"},{"alias_kind":"arxiv_version","alias_value":"1704.01141v4","created_at":"2026-05-18T00:28:15Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1704.01141","created_at":"2026-05-18T00:28:15Z"},{"alias_kind":"pith_short_12","alias_value":"6EHH7MFZQUNP","created_at":"2026-05-18T12:31:03Z"},{"alias_kind":"pith_short_16","alias_value":"6EHH7MFZQUNP4W6X","created_at":"2026-05-18T12:31:03Z"},{"alias_kind":"pith_short_8","alias_value":"6EHH7MFZ","created_at":"2026-05-18T12:31:03Z"}],"graph_snapshots":[{"event_id":"sha256:c27551c87bb1aa78fc051052399b712df8a211c0162c276b893bb34409e62bcf","target":"graph","created_at":"2026-05-18T00:28:15Z","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":"What are the conditions on a field theoretic model leading to a finite entanglement entropy density? We prove two very general results: 1) Ultraviolet finiteness of a theory does not guarantee finiteness of the entropy density; 2) If the spectral dimension of the spatial boundary across which the entropy is calculated is non-negative at all scales, then the entanglement entropy cannot be finite. These conclusions, which we verify in several examples, negatively affect all quantum-gravity models, since their spectral dimension is always positive. Possible ways out are considered, including aban","authors_text":"Gianluca Calcagni, Michele Arzano","cross_cats":["gr-qc","quant-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2017-04-04T18:20:56Z","title":"Finite entanglement entropy and spectral dimension in quantum gravity"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1704.01141","kind":"arxiv","version":4},"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":"sha256:413bd75981e314b55be5b1122abde4cd8aae0c773d0bf8e25e11ab23673ed876","target":"record","created_at":"2026-05-18T00:28:15Z","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":"2e17f0831fd7f59982b8f9f79af3ad89bce05ec0aeb6fa3a8eabc6ca4f478bb0","cross_cats_sorted":["gr-qc","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2017-04-04T18:20:56Z","title_canon_sha256":"638b3e27f059eb466a50201f116d6ffb79647b490ed5fd2c19c189f55cb50b04"},"schema_version":"1.0","source":{"id":"1704.01141","kind":"arxiv","version":4}},"canonical_sha256":"f10e7fb0b9851afe5bd7053931bce92bb4755efcfbebbded9171f05f7c1a1fae","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f10e7fb0b9851afe5bd7053931bce92bb4755efcfbebbded9171f05f7c1a1fae","first_computed_at":"2026-05-18T00:28:15.995496Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:28:15.995496Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"T+/kbFDTqGg2ypD8VuF2qaAfpg9qlSn4wxbGvQKlPbp2TrbF7/Gx9RL09V/vLq1oUJSweny2DhMbc4Q8iMQqCg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:28:15.996214Z","signed_message":"canonical_sha256_bytes"},"source_id":"1704.01141","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:413bd75981e314b55be5b1122abde4cd8aae0c773d0bf8e25e11ab23673ed876","sha256:c27551c87bb1aa78fc051052399b712df8a211c0162c276b893bb34409e62bcf"],"state_sha256":"1e29f4b2b2ce65c00989dcd3ebdfca843ba78a54e50f976b9863ac3b023784bf"}