{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:46AFIWJN5EIQLAP5JXRJ6DRDFA","short_pith_number":"pith:46AFIWJN","canonical_record":{"source":{"id":"1611.10281","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2016-11-30T17:37:02Z","cross_cats_sorted":["cond-mat.stat-mech","gr-qc"],"title_canon_sha256":"9e26316cafe784282056f820b45b776c2b9cb108d36d50931ac58475bb7f02fb","abstract_canon_sha256":"eb663b89b402db5df16d4f7d86fd06d7b07429972575998aa9884d8da0c50338"},"schema_version":"1.0"},"canonical_sha256":"e78054592de9110581fd4de29f0e23280fb81ca099a9781642303569f9c54069","source":{"kind":"arxiv","id":"1611.10281","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1611.10281","created_at":"2026-05-18T00:21:38Z"},{"alias_kind":"arxiv_version","alias_value":"1611.10281v3","created_at":"2026-05-18T00:21:38Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1611.10281","created_at":"2026-05-18T00:21:38Z"},{"alias_kind":"pith_short_12","alias_value":"46AFIWJN5EIQ","created_at":"2026-05-18T12:29:58Z"},{"alias_kind":"pith_short_16","alias_value":"46AFIWJN5EIQLAP5","created_at":"2026-05-18T12:29:58Z"},{"alias_kind":"pith_short_8","alias_value":"46AFIWJN","created_at":"2026-05-18T12:29:58Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:46AFIWJN5EIQLAP5JXRJ6DRDFA","target":"record","payload":{"canonical_record":{"source":{"id":"1611.10281","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2016-11-30T17:37:02Z","cross_cats_sorted":["cond-mat.stat-mech","gr-qc"],"title_canon_sha256":"9e26316cafe784282056f820b45b776c2b9cb108d36d50931ac58475bb7f02fb","abstract_canon_sha256":"eb663b89b402db5df16d4f7d86fd06d7b07429972575998aa9884d8da0c50338"},"schema_version":"1.0"},"canonical_sha256":"e78054592de9110581fd4de29f0e23280fb81ca099a9781642303569f9c54069","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:21:38.778073Z","signature_b64":"l3Wkyg5XaFD/EipPXhbAt7mXR5LOx9JhOblQlRJ11ab0vtkWwN8ZZVT2cpsAZu2tDpXZrTUqltlCVxOwGrlOBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e78054592de9110581fd4de29f0e23280fb81ca099a9781642303569f9c54069","last_reissued_at":"2026-05-18T00:21:38.777549Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:21:38.777549Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1611.10281","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:21:38Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"W4MBjzuc2d0hC9JFZ/uHADfMjZuq2CT+Cxei2++YvdCddc4FzU/Nys1ZL8AykZxt37HT7ReJ9KNn3ooJVNdKAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-22T01:36:34.752491Z"},"content_sha256":"84787f1ae357c39774187bdc2f486c5ac2cad7cfcf49faed1142c36c426f23b1","schema_version":"1.0","event_id":"sha256:84787f1ae357c39774187bdc2f486c5ac2cad7cfcf49faed1142c36c426f23b1"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:46AFIWJN5EIQLAP5JXRJ6DRDFA","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Entanglement Entropy in Causal Set Theory","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.stat-mech","gr-qc"],"primary_cat":"hep-th","authors_text":"Rafael D. Sorkin, Yasaman K. Yazdi","submitted_at":"2016-11-30T17:37:02Z","abstract_excerpt":"Entanglement entropy is now widely accepted as having deep connections with quantum gravity. It is therefore desirable to understand it in the context of causal sets, especially since they provide in a natural manner the UV cutoff needed to render entanglement entropy finite. Formulating a notion of entanglement entropy in a causal set is not straightforward because the type of canonical hypersurface-data on which its definition typically relies is not available. Instead, we appeal to the more global expression given in arXiv:1205.2953 which, for a gaussian scalar field, expresses the entropy "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1611.10281","kind":"arxiv","version":3},"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":"2026-05-18T00:21:38Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"g/MVwLQWHvVJES9EaHnYIOwSxqgbsqNnwshJlF4xcC8vqW144j5FULYHudoCm2sDJjPnTQe7KfLTCnq9OsjLBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-22T01:36:34.753156Z"},"content_sha256":"d212611382790e34cfd83cb406932bd45ed942d8e2b10a89d3d9e803eefadd70","schema_version":"1.0","event_id":"sha256:d212611382790e34cfd83cb406932bd45ed942d8e2b10a89d3d9e803eefadd70"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/46AFIWJN5EIQLAP5JXRJ6DRDFA/bundle.json","state_url":"https://pith.science/pith/46AFIWJN5EIQLAP5JXRJ6DRDFA/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/46AFIWJN5EIQLAP5JXRJ6DRDFA/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":"2026-05-22T01:36:34Z","links":{"resolver":"https://pith.science/pith/46AFIWJN5EIQLAP5JXRJ6DRDFA","bundle":"https://pith.science/pith/46AFIWJN5EIQLAP5JXRJ6DRDFA/bundle.json","state":"https://pith.science/pith/46AFIWJN5EIQLAP5JXRJ6DRDFA/state.json","well_known_bundle":"https://pith.science/.well-known/pith/46AFIWJN5EIQLAP5JXRJ6DRDFA/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:46AFIWJN5EIQLAP5JXRJ6DRDFA","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":"eb663b89b402db5df16d4f7d86fd06d7b07429972575998aa9884d8da0c50338","cross_cats_sorted":["cond-mat.stat-mech","gr-qc"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2016-11-30T17:37:02Z","title_canon_sha256":"9e26316cafe784282056f820b45b776c2b9cb108d36d50931ac58475bb7f02fb"},"schema_version":"1.0","source":{"id":"1611.10281","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1611.10281","created_at":"2026-05-18T00:21:38Z"},{"alias_kind":"arxiv_version","alias_value":"1611.10281v3","created_at":"2026-05-18T00:21:38Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1611.10281","created_at":"2026-05-18T00:21:38Z"},{"alias_kind":"pith_short_12","alias_value":"46AFIWJN5EIQ","created_at":"2026-05-18T12:29:58Z"},{"alias_kind":"pith_short_16","alias_value":"46AFIWJN5EIQLAP5","created_at":"2026-05-18T12:29:58Z"},{"alias_kind":"pith_short_8","alias_value":"46AFIWJN","created_at":"2026-05-18T12:29:58Z"}],"graph_snapshots":[{"event_id":"sha256:d212611382790e34cfd83cb406932bd45ed942d8e2b10a89d3d9e803eefadd70","target":"graph","created_at":"2026-05-18T00:21:38Z","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":"Entanglement entropy is now widely accepted as having deep connections with quantum gravity. It is therefore desirable to understand it in the context of causal sets, especially since they provide in a natural manner the UV cutoff needed to render entanglement entropy finite. Formulating a notion of entanglement entropy in a causal set is not straightforward because the type of canonical hypersurface-data on which its definition typically relies is not available. Instead, we appeal to the more global expression given in arXiv:1205.2953 which, for a gaussian scalar field, expresses the entropy ","authors_text":"Rafael D. Sorkin, Yasaman K. Yazdi","cross_cats":["cond-mat.stat-mech","gr-qc"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2016-11-30T17:37:02Z","title":"Entanglement Entropy in Causal Set Theory"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1611.10281","kind":"arxiv","version":3},"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":"sha256:84787f1ae357c39774187bdc2f486c5ac2cad7cfcf49faed1142c36c426f23b1","target":"record","created_at":"2026-05-18T00:21:38Z","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":"eb663b89b402db5df16d4f7d86fd06d7b07429972575998aa9884d8da0c50338","cross_cats_sorted":["cond-mat.stat-mech","gr-qc"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2016-11-30T17:37:02Z","title_canon_sha256":"9e26316cafe784282056f820b45b776c2b9cb108d36d50931ac58475bb7f02fb"},"schema_version":"1.0","source":{"id":"1611.10281","kind":"arxiv","version":3}},"canonical_sha256":"e78054592de9110581fd4de29f0e23280fb81ca099a9781642303569f9c54069","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e78054592de9110581fd4de29f0e23280fb81ca099a9781642303569f9c54069","first_computed_at":"2026-05-18T00:21:38.777549Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:21:38.777549Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"l3Wkyg5XaFD/EipPXhbAt7mXR5LOx9JhOblQlRJ11ab0vtkWwN8ZZVT2cpsAZu2tDpXZrTUqltlCVxOwGrlOBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:21:38.778073Z","signed_message":"canonical_sha256_bytes"},"source_id":"1611.10281","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:84787f1ae357c39774187bdc2f486c5ac2cad7cfcf49faed1142c36c426f23b1","sha256:d212611382790e34cfd83cb406932bd45ed942d8e2b10a89d3d9e803eefadd70"],"state_sha256":"18f003388ff114a2db981948a0648e405433a425dd2c594276e064fa6115f8d8"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"NO4jxE9xj0GG6PQDFO5k4x83xXJ2wb4+X7kzMQ8mgJZDWV4/+uCNlGZBg8k7z5aEGhEOudR8q9OmW/vsSx2gCQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-22T01:36:34.756643Z","bundle_sha256":"e21a638781909ead26b6174a131f89cc920651137338460d9dd05b74f8dab603"}}