{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:POWS7TMGWET25FOLF3EIACBT3P","short_pith_number":"pith:POWS7TMG","canonical_record":{"source":{"id":"1609.01835","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2016-09-07T04:39:38Z","cross_cats_sorted":[],"title_canon_sha256":"da91c2c41dad27e2b3eaeb016a4df9c08809d6aeacda4f9872f52d39edb792ea","abstract_canon_sha256":"26ce0049002d304e147f868588600fe3f997e8512fafa3287c74b90150ec7bea"},"schema_version":"1.0"},"canonical_sha256":"7bad2fcd86b127ae95cb2ec8800833dbe5c63b8b8fb6e6bbc72e0d1cac1c3c54","source":{"kind":"arxiv","id":"1609.01835","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1609.01835","created_at":"2026-05-18T01:05:09Z"},{"alias_kind":"arxiv_version","alias_value":"1609.01835v1","created_at":"2026-05-18T01:05:09Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1609.01835","created_at":"2026-05-18T01:05:09Z"},{"alias_kind":"pith_short_12","alias_value":"POWS7TMGWET2","created_at":"2026-05-18T12:30:39Z"},{"alias_kind":"pith_short_16","alias_value":"POWS7TMGWET25FOL","created_at":"2026-05-18T12:30:39Z"},{"alias_kind":"pith_short_8","alias_value":"POWS7TMG","created_at":"2026-05-18T12:30:39Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:POWS7TMGWET25FOLF3EIACBT3P","target":"record","payload":{"canonical_record":{"source":{"id":"1609.01835","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2016-09-07T04:39:38Z","cross_cats_sorted":[],"title_canon_sha256":"da91c2c41dad27e2b3eaeb016a4df9c08809d6aeacda4f9872f52d39edb792ea","abstract_canon_sha256":"26ce0049002d304e147f868588600fe3f997e8512fafa3287c74b90150ec7bea"},"schema_version":"1.0"},"canonical_sha256":"7bad2fcd86b127ae95cb2ec8800833dbe5c63b8b8fb6e6bbc72e0d1cac1c3c54","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:05:09.921278Z","signature_b64":"pBtzCl7Zl9y1PmYbgaJ+Wnyhnm2J0zRcxWYBCNzBhAXvIA9h2NcMXVXGyPaxiRiiJxYHuEk3kFBW44+mzhGRAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7bad2fcd86b127ae95cb2ec8800833dbe5c63b8b8fb6e6bbc72e0d1cac1c3c54","last_reissued_at":"2026-05-18T01:05:09.920746Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:05:09.920746Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1609.01835","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":"2026-05-18T01:05:09Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"UhIygAzpKu1nwroQwSycAyoRODIylWq2SGEz7fSsEq+MMb5qH8ra7U4YVBLD5o74b2FQKoek3rnJjAhold7SAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-07T10:37:58.259807Z"},"content_sha256":"2d3a85323d59351b79ca1dc2628166578b053972e088b0611b616908955c8c2a","schema_version":"1.0","event_id":"sha256:2d3a85323d59351b79ca1dc2628166578b053972e088b0611b616908955c8c2a"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:POWS7TMGWET25FOLF3EIACBT3P","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Quantum phase transition by employing trace distance along with the density matrix renormalization group","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Da-Wei Luo, Jing-Bo Xu","submitted_at":"2016-09-07T04:39:38Z","abstract_excerpt":"We use an alternative method to investigate the quantum criticality at zero and finite temperature using trace distance along with the density matrix renormalization group. It is shown that the average correlation measured by the trace distance between the system block and environment block in a DMRG sweep is able to detect the critical points of quantum phase transitions at finite temperature. As illustrative examples, we study spin-1 XXZ chains with uniaxial single-ion-type anisotropy and the Heisenberg spin chain with staggered coupling and external magnetic field. It is found that the trac"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1609.01835","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":"2026-05-18T01:05:09Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"PuYZGwDcMIXs8BETnZ04OANbaf9zTQztc/xSQ8G4DGOCN1RbDPXVbBNW4rccWgdpRXhX5necfpJEPZjkEnidCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-07T10:37:58.260435Z"},"content_sha256":"0cda952ea868419be9c32d3168dad539880024ab523adf82b1e3bbf05ee25902","schema_version":"1.0","event_id":"sha256:0cda952ea868419be9c32d3168dad539880024ab523adf82b1e3bbf05ee25902"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/POWS7TMGWET25FOLF3EIACBT3P/bundle.json","state_url":"https://pith.science/pith/POWS7TMGWET25FOLF3EIACBT3P/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/POWS7TMGWET25FOLF3EIACBT3P/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":"2026-06-07T10:37:58Z","links":{"resolver":"https://pith.science/pith/POWS7TMGWET25FOLF3EIACBT3P","bundle":"https://pith.science/pith/POWS7TMGWET25FOLF3EIACBT3P/bundle.json","state":"https://pith.science/pith/POWS7TMGWET25FOLF3EIACBT3P/state.json","well_known_bundle":"https://pith.science/.well-known/pith/POWS7TMGWET25FOLF3EIACBT3P/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:POWS7TMGWET25FOLF3EIACBT3P","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":"26ce0049002d304e147f868588600fe3f997e8512fafa3287c74b90150ec7bea","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2016-09-07T04:39:38Z","title_canon_sha256":"da91c2c41dad27e2b3eaeb016a4df9c08809d6aeacda4f9872f52d39edb792ea"},"schema_version":"1.0","source":{"id":"1609.01835","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1609.01835","created_at":"2026-05-18T01:05:09Z"},{"alias_kind":"arxiv_version","alias_value":"1609.01835v1","created_at":"2026-05-18T01:05:09Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1609.01835","created_at":"2026-05-18T01:05:09Z"},{"alias_kind":"pith_short_12","alias_value":"POWS7TMGWET2","created_at":"2026-05-18T12:30:39Z"},{"alias_kind":"pith_short_16","alias_value":"POWS7TMGWET25FOL","created_at":"2026-05-18T12:30:39Z"},{"alias_kind":"pith_short_8","alias_value":"POWS7TMG","created_at":"2026-05-18T12:30:39Z"}],"graph_snapshots":[{"event_id":"sha256:0cda952ea868419be9c32d3168dad539880024ab523adf82b1e3bbf05ee25902","target":"graph","created_at":"2026-05-18T01:05:09Z","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 use an alternative method to investigate the quantum criticality at zero and finite temperature using trace distance along with the density matrix renormalization group. It is shown that the average correlation measured by the trace distance between the system block and environment block in a DMRG sweep is able to detect the critical points of quantum phase transitions at finite temperature. As illustrative examples, we study spin-1 XXZ chains with uniaxial single-ion-type anisotropy and the Heisenberg spin chain with staggered coupling and external magnetic field. It is found that the trac","authors_text":"Da-Wei Luo, Jing-Bo Xu","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2016-09-07T04:39:38Z","title":"Quantum phase transition by employing trace distance along with the density matrix renormalization group"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1609.01835","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":"sha256:2d3a85323d59351b79ca1dc2628166578b053972e088b0611b616908955c8c2a","target":"record","created_at":"2026-05-18T01:05:09Z","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":"26ce0049002d304e147f868588600fe3f997e8512fafa3287c74b90150ec7bea","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2016-09-07T04:39:38Z","title_canon_sha256":"da91c2c41dad27e2b3eaeb016a4df9c08809d6aeacda4f9872f52d39edb792ea"},"schema_version":"1.0","source":{"id":"1609.01835","kind":"arxiv","version":1}},"canonical_sha256":"7bad2fcd86b127ae95cb2ec8800833dbe5c63b8b8fb6e6bbc72e0d1cac1c3c54","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7bad2fcd86b127ae95cb2ec8800833dbe5c63b8b8fb6e6bbc72e0d1cac1c3c54","first_computed_at":"2026-05-18T01:05:09.920746Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:05:09.920746Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"pBtzCl7Zl9y1PmYbgaJ+Wnyhnm2J0zRcxWYBCNzBhAXvIA9h2NcMXVXGyPaxiRiiJxYHuEk3kFBW44+mzhGRAg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:05:09.921278Z","signed_message":"canonical_sha256_bytes"},"source_id":"1609.01835","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2d3a85323d59351b79ca1dc2628166578b053972e088b0611b616908955c8c2a","sha256:0cda952ea868419be9c32d3168dad539880024ab523adf82b1e3bbf05ee25902"],"state_sha256":"20a1cc00e4f23d40ade3a4e22499d268805dea4dbdcd49d8a99f58332eccf705"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"wv4yhq4iO7OOOJ8TSkNbDCOUliEdV85lo+KSwRHgfO4dhEGgzo51hBVqF3UgOrQ+C1t73wXUOjIx+u9EkCW0Cg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-07T10:37:58.263658Z","bundle_sha256":"520b62f20db1db86fdf5c2b6657a33b228f45083ac89bcac6707b1137771d4c8"}}