{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:E75NZQZ2N2KKWL7AXUBZ2IF35V","short_pith_number":"pith:E75NZQZ2","canonical_record":{"source":{"id":"1312.1168","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2013-12-04T14:08:24Z","cross_cats_sorted":[],"title_canon_sha256":"b9ea291b7524c00c320e6b8d7cbe9b48fc6a973b33a30bdfb37804ecf69c5fc9","abstract_canon_sha256":"62ee8d0f2d0776169fcafdc9afe34fe09b7962e5f6232d5db02ef80f417c47d9"},"schema_version":"1.0"},"canonical_sha256":"27fadcc33a6e94ab2fe0bd039d20bbed7a92461775c9fc75e087324084c64ed3","source":{"kind":"arxiv","id":"1312.1168","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1312.1168","created_at":"2026-05-18T02:45:41Z"},{"alias_kind":"arxiv_version","alias_value":"1312.1168v1","created_at":"2026-05-18T02:45:41Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1312.1168","created_at":"2026-05-18T02:45:41Z"},{"alias_kind":"pith_short_12","alias_value":"E75NZQZ2N2KK","created_at":"2026-05-18T12:27:43Z"},{"alias_kind":"pith_short_16","alias_value":"E75NZQZ2N2KKWL7A","created_at":"2026-05-18T12:27:43Z"},{"alias_kind":"pith_short_8","alias_value":"E75NZQZ2","created_at":"2026-05-18T12:27:43Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:E75NZQZ2N2KKWL7AXUBZ2IF35V","target":"record","payload":{"canonical_record":{"source":{"id":"1312.1168","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2013-12-04T14:08:24Z","cross_cats_sorted":[],"title_canon_sha256":"b9ea291b7524c00c320e6b8d7cbe9b48fc6a973b33a30bdfb37804ecf69c5fc9","abstract_canon_sha256":"62ee8d0f2d0776169fcafdc9afe34fe09b7962e5f6232d5db02ef80f417c47d9"},"schema_version":"1.0"},"canonical_sha256":"27fadcc33a6e94ab2fe0bd039d20bbed7a92461775c9fc75e087324084c64ed3","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:45:41.011232Z","signature_b64":"LhCXmf1qA9n8ezbfaBUbaLrodOXxg0Qlm9bPFNhPOsm1IH5wQ4DoC+v5BjtIS1xEcDWVA4R6C5I3CYnvVYVSCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"27fadcc33a6e94ab2fe0bd039d20bbed7a92461775c9fc75e087324084c64ed3","last_reissued_at":"2026-05-18T02:45:41.010788Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:45:41.010788Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1312.1168","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":"2026-05-18T02:45:41Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"UA3e3VIqDvGvDeCojyBU+WYrG17xCn+sMcJnHU28Bl5SECMSmhE484Zmngx7/juLpQfI1ScSJehZHMRVKEVuCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-29T20:30:26.689668Z"},"content_sha256":"d013f48859491bc739481e32a87e109a3354acae441de2d85b1265fa50a07d3b","schema_version":"1.0","event_id":"sha256:d013f48859491bc739481e32a87e109a3354acae441de2d85b1265fa50a07d3b"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:E75NZQZ2N2KKWL7AXUBZ2IF35V","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Entanglement negativity via replica trick: a Quantum Monte Carlo approach","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.str-el","authors_text":"Andreas M. L\\\"auchli, Chia-Min Chung, Lars Bonnes, Pochung Chen, Vincenzo Alba","submitted_at":"2013-12-04T14:08:24Z","abstract_excerpt":"Motivated by recent developments in conformal field theory (CFT), we devise a Quantum Monte Carlo (QMC) method to calculate the moments of the partially transposed reduced density matrix at finite temperature. These are used to construct scale invariant combinations that are related to the negativity, a true measure of entanglement for two intervals embedded in a chain. These quantities can serve as witnesses of criticality. In particular, we study several scale invariant combinations of the moments for the 1D hard-core boson model. For two adjacent intervals unusual finite size corrections ar"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1312.1168","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":""},"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":"2026-05-18T02:45:41Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"E+EDbT6OWLCnoo4L7ez7a5C7ytNGAJe5n1mOQTWb9UDfF+59hzwmYDeKVMNG/PyXnb3GrfRUECJp99KiklP/DQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-29T20:30:26.690010Z"},"content_sha256":"655569ced4413ffe89e2c7fd308cd8b04c5e129d0dc5c70e1592cb5a029ac9d8","schema_version":"1.0","event_id":"sha256:655569ced4413ffe89e2c7fd308cd8b04c5e129d0dc5c70e1592cb5a029ac9d8"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/E75NZQZ2N2KKWL7AXUBZ2IF35V/bundle.json","state_url":"https://pith.science/pith/E75NZQZ2N2KKWL7AXUBZ2IF35V/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/E75NZQZ2N2KKWL7AXUBZ2IF35V/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":"2026-05-29T20:30:26Z","links":{"resolver":"https://pith.science/pith/E75NZQZ2N2KKWL7AXUBZ2IF35V","bundle":"https://pith.science/pith/E75NZQZ2N2KKWL7AXUBZ2IF35V/bundle.json","state":"https://pith.science/pith/E75NZQZ2N2KKWL7AXUBZ2IF35V/state.json","well_known_bundle":"https://pith.science/.well-known/pith/E75NZQZ2N2KKWL7AXUBZ2IF35V/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:E75NZQZ2N2KKWL7AXUBZ2IF35V","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":"62ee8d0f2d0776169fcafdc9afe34fe09b7962e5f6232d5db02ef80f417c47d9","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2013-12-04T14:08:24Z","title_canon_sha256":"b9ea291b7524c00c320e6b8d7cbe9b48fc6a973b33a30bdfb37804ecf69c5fc9"},"schema_version":"1.0","source":{"id":"1312.1168","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1312.1168","created_at":"2026-05-18T02:45:41Z"},{"alias_kind":"arxiv_version","alias_value":"1312.1168v1","created_at":"2026-05-18T02:45:41Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1312.1168","created_at":"2026-05-18T02:45:41Z"},{"alias_kind":"pith_short_12","alias_value":"E75NZQZ2N2KK","created_at":"2026-05-18T12:27:43Z"},{"alias_kind":"pith_short_16","alias_value":"E75NZQZ2N2KKWL7A","created_at":"2026-05-18T12:27:43Z"},{"alias_kind":"pith_short_8","alias_value":"E75NZQZ2","created_at":"2026-05-18T12:27:43Z"}],"graph_snapshots":[{"event_id":"sha256:655569ced4413ffe89e2c7fd308cd8b04c5e129d0dc5c70e1592cb5a029ac9d8","target":"graph","created_at":"2026-05-18T02:45:41Z","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":"Motivated by recent developments in conformal field theory (CFT), we devise a Quantum Monte Carlo (QMC) method to calculate the moments of the partially transposed reduced density matrix at finite temperature. These are used to construct scale invariant combinations that are related to the negativity, a true measure of entanglement for two intervals embedded in a chain. These quantities can serve as witnesses of criticality. In particular, we study several scale invariant combinations of the moments for the 1D hard-core boson model. For two adjacent intervals unusual finite size corrections ar","authors_text":"Andreas M. L\\\"auchli, Chia-Min Chung, Lars Bonnes, Pochung Chen, Vincenzo Alba","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2013-12-04T14:08:24Z","title":"Entanglement negativity via replica trick: a Quantum Monte Carlo approach"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1312.1168","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:d013f48859491bc739481e32a87e109a3354acae441de2d85b1265fa50a07d3b","target":"record","created_at":"2026-05-18T02:45:41Z","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":"62ee8d0f2d0776169fcafdc9afe34fe09b7962e5f6232d5db02ef80f417c47d9","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2013-12-04T14:08:24Z","title_canon_sha256":"b9ea291b7524c00c320e6b8d7cbe9b48fc6a973b33a30bdfb37804ecf69c5fc9"},"schema_version":"1.0","source":{"id":"1312.1168","kind":"arxiv","version":1}},"canonical_sha256":"27fadcc33a6e94ab2fe0bd039d20bbed7a92461775c9fc75e087324084c64ed3","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"27fadcc33a6e94ab2fe0bd039d20bbed7a92461775c9fc75e087324084c64ed3","first_computed_at":"2026-05-18T02:45:41.010788Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:45:41.010788Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"LhCXmf1qA9n8ezbfaBUbaLrodOXxg0Qlm9bPFNhPOsm1IH5wQ4DoC+v5BjtIS1xEcDWVA4R6C5I3CYnvVYVSCw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:45:41.011232Z","signed_message":"canonical_sha256_bytes"},"source_id":"1312.1168","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d013f48859491bc739481e32a87e109a3354acae441de2d85b1265fa50a07d3b","sha256:655569ced4413ffe89e2c7fd308cd8b04c5e129d0dc5c70e1592cb5a029ac9d8"],"state_sha256":"b979e524e666d31302f29ab744ef9cef672a3ca5860de40e86bce84bf4eb6a33"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"41peu6LhoKPONn+ugqfLcV17a/JhUiZxw/wy/TG7hbc30C/zLveCqEqSYNu8CB0Laj52mo8e5LHOdju61T1/DQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-29T20:30:26.691882Z","bundle_sha256":"e7d91ebb5516f90b1919e78c642aad1f89401ebe5b790512f0dee3f35cf0a24e"}}