{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:L2GU36WQOE5AG7XSHUVH726QOT","short_pith_number":"pith:L2GU36WQ","canonical_record":{"source":{"id":"1808.05939","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2018-08-17T17:43:58Z","cross_cats_sorted":["cond-mat.other","hep-lat","quant-ph"],"title_canon_sha256":"a8a84062bec8eb4ab29fc8bbadfbb98aec1339f9cb107e1567e3345776d85cd7","abstract_canon_sha256":"487a1fd56261fbcf4a1baba537c7368a4a83577882c576808743df05472f331d"},"schema_version":"1.0"},"canonical_sha256":"5e8d4dfad0713a037ef23d2a7febd074fb1997d5634b267aefca106e5ad58c13","source":{"kind":"arxiv","id":"1808.05939","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1808.05939","created_at":"2026-05-18T00:05:36Z"},{"alias_kind":"arxiv_version","alias_value":"1808.05939v2","created_at":"2026-05-18T00:05:36Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1808.05939","created_at":"2026-05-18T00:05:36Z"},{"alias_kind":"pith_short_12","alias_value":"L2GU36WQOE5A","created_at":"2026-05-18T12:32:33Z"},{"alias_kind":"pith_short_16","alias_value":"L2GU36WQOE5AG7XS","created_at":"2026-05-18T12:32:33Z"},{"alias_kind":"pith_short_8","alias_value":"L2GU36WQ","created_at":"2026-05-18T12:32:33Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:L2GU36WQOE5AG7XSHUVH726QOT","target":"record","payload":{"canonical_record":{"source":{"id":"1808.05939","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2018-08-17T17:43:58Z","cross_cats_sorted":["cond-mat.other","hep-lat","quant-ph"],"title_canon_sha256":"a8a84062bec8eb4ab29fc8bbadfbb98aec1339f9cb107e1567e3345776d85cd7","abstract_canon_sha256":"487a1fd56261fbcf4a1baba537c7368a4a83577882c576808743df05472f331d"},"schema_version":"1.0"},"canonical_sha256":"5e8d4dfad0713a037ef23d2a7febd074fb1997d5634b267aefca106e5ad58c13","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:05:36.910103Z","signature_b64":"AI0Q5wIrtzISl2AAsLTc6pg5aX+rDwOTSYQ6MCkkbPjxJL2wU6y3RLkSlu5nRVShmh9hkRiyvRAsdEQ/67hNDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5e8d4dfad0713a037ef23d2a7febd074fb1997d5634b267aefca106e5ad58c13","last_reissued_at":"2026-05-18T00:05:36.909647Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:05:36.909647Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1808.05939","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:05:36Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"wQ/YAw1WIy+eY5toCK1AMnViUGVhSLzkV1nJwwYTZHAgMBrpABk/pMjmChXy5gb+nqcyU2VeylNhW2RZkh43Bw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-10T13:17:19.211695Z"},"content_sha256":"f2bcdde100229a0d9ee7972eac3bf69dc6f6c10b3e45bea5c9b9a7d184b4a298","schema_version":"1.0","event_id":"sha256:f2bcdde100229a0d9ee7972eac3bf69dc6f6c10b3e45bea5c9b9a7d184b4a298"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:L2GU36WQOE5AG7XSHUVH726QOT","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Comments on Defining Entanglement Entropy","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.other","hep-lat","quant-ph"],"primary_cat":"hep-th","authors_text":"Djordje Radicevic, Jennifer Lin","submitted_at":"2018-08-17T17:43:58Z","abstract_excerpt":"We revisit the issue of defining the entropy of a spatial region in a broad class of quantum theories. In theories with explicit regularizations, working within an elementary but general algebraic framework applicable to matter and gauge theories alike, we give precise path integral expressions for three known types of entanglement entropy that we call full, distillable, and gauge-invariant. For a class of gauge theories that do not necessarily have a regularization in our framework, including Chern-Simons theory, we describe a related approach to defining entropies based on locally extending "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1808.05939","kind":"arxiv","version":2},"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":"2026-05-18T00:05:36Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Fk4sYj3GfaCYtotERqQvG49T9/jFCCbQFxdSmqBTnYpF8yTWZKJqxQpl/IoQqleiSZlD5eE+XF/oJrhqsVa2DQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-10T13:17:19.212452Z"},"content_sha256":"084f3e401d8830f01a7818015707a8945982973d7d8dbff38dba11a1fb4e6ec2","schema_version":"1.0","event_id":"sha256:084f3e401d8830f01a7818015707a8945982973d7d8dbff38dba11a1fb4e6ec2"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/L2GU36WQOE5AG7XSHUVH726QOT/bundle.json","state_url":"https://pith.science/pith/L2GU36WQOE5AG7XSHUVH726QOT/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/L2GU36WQOE5AG7XSHUVH726QOT/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":"2026-06-10T13:17:19Z","links":{"resolver":"https://pith.science/pith/L2GU36WQOE5AG7XSHUVH726QOT","bundle":"https://pith.science/pith/L2GU36WQOE5AG7XSHUVH726QOT/bundle.json","state":"https://pith.science/pith/L2GU36WQOE5AG7XSHUVH726QOT/state.json","well_known_bundle":"https://pith.science/.well-known/pith/L2GU36WQOE5AG7XSHUVH726QOT/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:L2GU36WQOE5AG7XSHUVH726QOT","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":"487a1fd56261fbcf4a1baba537c7368a4a83577882c576808743df05472f331d","cross_cats_sorted":["cond-mat.other","hep-lat","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2018-08-17T17:43:58Z","title_canon_sha256":"a8a84062bec8eb4ab29fc8bbadfbb98aec1339f9cb107e1567e3345776d85cd7"},"schema_version":"1.0","source":{"id":"1808.05939","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1808.05939","created_at":"2026-05-18T00:05:36Z"},{"alias_kind":"arxiv_version","alias_value":"1808.05939v2","created_at":"2026-05-18T00:05:36Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1808.05939","created_at":"2026-05-18T00:05:36Z"},{"alias_kind":"pith_short_12","alias_value":"L2GU36WQOE5A","created_at":"2026-05-18T12:32:33Z"},{"alias_kind":"pith_short_16","alias_value":"L2GU36WQOE5AG7XS","created_at":"2026-05-18T12:32:33Z"},{"alias_kind":"pith_short_8","alias_value":"L2GU36WQ","created_at":"2026-05-18T12:32:33Z"}],"graph_snapshots":[{"event_id":"sha256:084f3e401d8830f01a7818015707a8945982973d7d8dbff38dba11a1fb4e6ec2","target":"graph","created_at":"2026-05-18T00:05:36Z","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"},"paper":{"abstract_excerpt":"We revisit the issue of defining the entropy of a spatial region in a broad class of quantum theories. In theories with explicit regularizations, working within an elementary but general algebraic framework applicable to matter and gauge theories alike, we give precise path integral expressions for three known types of entanglement entropy that we call full, distillable, and gauge-invariant. For a class of gauge theories that do not necessarily have a regularization in our framework, including Chern-Simons theory, we describe a related approach to defining entropies based on locally extending ","authors_text":"Djordje Radicevic, Jennifer Lin","cross_cats":["cond-mat.other","hep-lat","quant-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2018-08-17T17:43:58Z","title":"Comments on Defining Entanglement Entropy"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1808.05939","kind":"arxiv","version":2},"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:f2bcdde100229a0d9ee7972eac3bf69dc6f6c10b3e45bea5c9b9a7d184b4a298","target":"record","created_at":"2026-05-18T00:05:36Z","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":"487a1fd56261fbcf4a1baba537c7368a4a83577882c576808743df05472f331d","cross_cats_sorted":["cond-mat.other","hep-lat","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2018-08-17T17:43:58Z","title_canon_sha256":"a8a84062bec8eb4ab29fc8bbadfbb98aec1339f9cb107e1567e3345776d85cd7"},"schema_version":"1.0","source":{"id":"1808.05939","kind":"arxiv","version":2}},"canonical_sha256":"5e8d4dfad0713a037ef23d2a7febd074fb1997d5634b267aefca106e5ad58c13","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5e8d4dfad0713a037ef23d2a7febd074fb1997d5634b267aefca106e5ad58c13","first_computed_at":"2026-05-18T00:05:36.909647Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:05:36.909647Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"AI0Q5wIrtzISl2AAsLTc6pg5aX+rDwOTSYQ6MCkkbPjxJL2wU6y3RLkSlu5nRVShmh9hkRiyvRAsdEQ/67hNDw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:05:36.910103Z","signed_message":"canonical_sha256_bytes"},"source_id":"1808.05939","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f2bcdde100229a0d9ee7972eac3bf69dc6f6c10b3e45bea5c9b9a7d184b4a298","sha256:084f3e401d8830f01a7818015707a8945982973d7d8dbff38dba11a1fb4e6ec2"],"state_sha256":"d3aa0cc9bf1ca0f47e025d0501ba9ca36956c6476d59bb32c690fc2b7487895d"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"99CX1GKO6grW/gkDw1jaB5lcVjRPuignd+FaJczOR4kpJc/FiCrzmnBMUemc+8SHPVaVDwpd0XiRiyHBxsb9BA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-10T13:17:19.216700Z","bundle_sha256":"8f283411c7743ed4716abdc0908696fb3964b36b7ee055b8cbd27f9f60f3bdda"}}