{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2008:XIYHMTXVU3F36DFPT76P43C5SN","short_pith_number":"pith:XIYHMTXV","canonical_record":{"source":{"id":"0812.0006","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2008-11-28T21:05:04Z","cross_cats_sorted":["cond-mat.mes-hall","hep-th"],"title_canon_sha256":"92121fb9f82456f95b30805c5d92521b3777f4775d8f5fe35ba1477944faadc8","abstract_canon_sha256":"e9550ca1db57542affcc1836bb2fbae9beb98bc292f5ac819a87b19066ce9d7a"},"schema_version":"1.0"},"canonical_sha256":"ba30764ef5a6cbbf0caf9ffcfe6c5d9377fcc2c38d3cbb2fee3d026b6432fd84","source":{"kind":"arxiv","id":"0812.0006","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0812.0006","created_at":"2026-07-04T15:36:04Z"},{"alias_kind":"arxiv_version","alias_value":"0812.0006v1","created_at":"2026-07-04T15:36:04Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0812.0006","created_at":"2026-07-04T15:36:04Z"},{"alias_kind":"pith_short_12","alias_value":"XIYHMTXVU3F3","created_at":"2026-07-04T15:36:04Z"},{"alias_kind":"pith_short_16","alias_value":"XIYHMTXVU3F36DFP","created_at":"2026-07-04T15:36:04Z"},{"alias_kind":"pith_short_8","alias_value":"XIYHMTXV","created_at":"2026-07-04T15:36:04Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2008:XIYHMTXVU3F36DFPT76P43C5SN","target":"record","payload":{"canonical_record":{"source":{"id":"0812.0006","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2008-11-28T21:05:04Z","cross_cats_sorted":["cond-mat.mes-hall","hep-th"],"title_canon_sha256":"92121fb9f82456f95b30805c5d92521b3777f4775d8f5fe35ba1477944faadc8","abstract_canon_sha256":"e9550ca1db57542affcc1836bb2fbae9beb98bc292f5ac819a87b19066ce9d7a"},"schema_version":"1.0"},"canonical_sha256":"ba30764ef5a6cbbf0caf9ffcfe6c5d9377fcc2c38d3cbb2fee3d026b6432fd84","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T15:36:04.155900Z","signature_b64":"+Mg+FaTGF9/BCqWHfYp9/HZgP3XWLsyjaybRuob7ITWnmnnPetRhwDgQTf1g1q1+eUJBMzE0i3M30r5hGlFkCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ba30764ef5a6cbbf0caf9ffcfe6c5d9377fcc2c38d3cbb2fee3d026b6432fd84","last_reissued_at":"2026-07-04T15:36:04.155424Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T15:36:04.155424Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"0812.0006","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":"2026-07-04T15:36:04Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"7joq7790m+tKtxkcS98+pf50SbMD3HkHkqIINFApXOqQdKj4WqGoWG4bO8+oNFJynPOaEEZSrVM9KRWOzeDiDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-09T12:40:29.846500Z"},"content_sha256":"32d40a17019af10c6bc3727d0defdcb9b0a53fbfb047ef58739950bb15c60c77","schema_version":"1.0","event_id":"sha256:32d40a17019af10c6bc3727d0defdcb9b0a53fbfb047ef58739950bb15c60c77"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2008:XIYHMTXVU3F36DFPT76P43C5SN","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Scaling of entanglement entropy and superselection rules","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.mes-hall","hep-th"],"primary_cat":"quant-ph","authors_text":"I. Klich, L. S. Levitov","submitted_at":"2008-11-28T21:05:04Z","abstract_excerpt":"Particle number conservation in fermionic systems restricts the allowed local operations on bi-partite systems. We show how this restriction is related to measurement entropy of particle fluctuations and compute it for several regimes of practical relevance. The accessible entanglement entropy restricted by particle number conservation is equal, to leading order, to the full entanglement entropy. The correction is bounded by the log of the variance of particle number fluctuations. The results are applied to generic Fermi systems in dimension d>1 as well as to several critical systems in d=1."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0812.0006","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/0812.0006/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":"2026-07-04T15:36:04Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Mgo8PfpmU8lBZToq361HMdjhVM0UGoOMyjo9gQiV+E8s+IqI5v7xIgTOHHxUx44bmdUW+ldA4H9tSTZdSlQrAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-09T12:40:29.847035Z"},"content_sha256":"037a2b6e9434d740fa5acfe0359a4e1cbfcbc1454b49337eacdf58a00072c7a5","schema_version":"1.0","event_id":"sha256:037a2b6e9434d740fa5acfe0359a4e1cbfcbc1454b49337eacdf58a00072c7a5"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/XIYHMTXVU3F36DFPT76P43C5SN/bundle.json","state_url":"https://pith.science/pith/XIYHMTXVU3F36DFPT76P43C5SN/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/XIYHMTXVU3F36DFPT76P43C5SN/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":"2026-08-09T12:40:29Z","links":{"resolver":"https://pith.science/pith/XIYHMTXVU3F36DFPT76P43C5SN","bundle":"https://pith.science/pith/XIYHMTXVU3F36DFPT76P43C5SN/bundle.json","state":"https://pith.science/pith/XIYHMTXVU3F36DFPT76P43C5SN/state.json","well_known_bundle":"https://pith.science/.well-known/pith/XIYHMTXVU3F36DFPT76P43C5SN/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2008:XIYHMTXVU3F36DFPT76P43C5SN","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":"e9550ca1db57542affcc1836bb2fbae9beb98bc292f5ac819a87b19066ce9d7a","cross_cats_sorted":["cond-mat.mes-hall","hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2008-11-28T21:05:04Z","title_canon_sha256":"92121fb9f82456f95b30805c5d92521b3777f4775d8f5fe35ba1477944faadc8"},"schema_version":"1.0","source":{"id":"0812.0006","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0812.0006","created_at":"2026-07-04T15:36:04Z"},{"alias_kind":"arxiv_version","alias_value":"0812.0006v1","created_at":"2026-07-04T15:36:04Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0812.0006","created_at":"2026-07-04T15:36:04Z"},{"alias_kind":"pith_short_12","alias_value":"XIYHMTXVU3F3","created_at":"2026-07-04T15:36:04Z"},{"alias_kind":"pith_short_16","alias_value":"XIYHMTXVU3F36DFP","created_at":"2026-07-04T15:36:04Z"},{"alias_kind":"pith_short_8","alias_value":"XIYHMTXV","created_at":"2026-07-04T15:36:04Z"}],"graph_snapshots":[{"event_id":"sha256:037a2b6e9434d740fa5acfe0359a4e1cbfcbc1454b49337eacdf58a00072c7a5","target":"graph","created_at":"2026-07-04T15:36:04Z","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/0812.0006/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Particle number conservation in fermionic systems restricts the allowed local operations on bi-partite systems. We show how this restriction is related to measurement entropy of particle fluctuations and compute it for several regimes of practical relevance. The accessible entanglement entropy restricted by particle number conservation is equal, to leading order, to the full entanglement entropy. The correction is bounded by the log of the variance of particle number fluctuations. The results are applied to generic Fermi systems in dimension d>1 as well as to several critical systems in d=1.","authors_text":"I. Klich, L. S. Levitov","cross_cats":["cond-mat.mes-hall","hep-th"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2008-11-28T21:05:04Z","title":"Scaling of entanglement entropy and superselection rules"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0812.0006","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":"sha256:32d40a17019af10c6bc3727d0defdcb9b0a53fbfb047ef58739950bb15c60c77","target":"record","created_at":"2026-07-04T15:36:04Z","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":"e9550ca1db57542affcc1836bb2fbae9beb98bc292f5ac819a87b19066ce9d7a","cross_cats_sorted":["cond-mat.mes-hall","hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2008-11-28T21:05:04Z","title_canon_sha256":"92121fb9f82456f95b30805c5d92521b3777f4775d8f5fe35ba1477944faadc8"},"schema_version":"1.0","source":{"id":"0812.0006","kind":"arxiv","version":1}},"canonical_sha256":"ba30764ef5a6cbbf0caf9ffcfe6c5d9377fcc2c38d3cbb2fee3d026b6432fd84","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ba30764ef5a6cbbf0caf9ffcfe6c5d9377fcc2c38d3cbb2fee3d026b6432fd84","first_computed_at":"2026-07-04T15:36:04.155424Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T15:36:04.155424Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"+Mg+FaTGF9/BCqWHfYp9/HZgP3XWLsyjaybRuob7ITWnmnnPetRhwDgQTf1g1q1+eUJBMzE0i3M30r5hGlFkCA==","signature_status":"signed_v1","signed_at":"2026-07-04T15:36:04.155900Z","signed_message":"canonical_sha256_bytes"},"source_id":"0812.0006","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:32d40a17019af10c6bc3727d0defdcb9b0a53fbfb047ef58739950bb15c60c77","sha256:037a2b6e9434d740fa5acfe0359a4e1cbfcbc1454b49337eacdf58a00072c7a5"],"state_sha256":"062f6af439dd684f2c1058bae87b2a5034eb3fcc8d8e6897f348889c66cd370d"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"V2ocbBeIrnsDXLI5WJeEmS4APvVoW0b8ch/xJBm/HldgemZRtKxWv7t/LBCTqi/0objASKsPmcspNkR3DaDuAQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-09T12:40:29.852300Z","bundle_sha256":"c99f2c2024e2c9b24ca05f27bbcb737df1e9d00b46ac518c32bf545c473965d7"}}