{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:3E3QM5TEIZWNYFNM2ESUEDNXUX","short_pith_number":"pith:3E3QM5TE","canonical_record":{"source":{"id":"1304.3759","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-sa/3.0/","primary_cat":"quant-ph","submitted_at":"2013-04-13T02:01:27Z","cross_cats_sorted":[],"title_canon_sha256":"03dfd1d866d105c01577893f8fb66e4c034c1d57345636e56dd7c2ada2d45b0e","abstract_canon_sha256":"25fd1fc2f3234f4e720e9bb5121960fd695cc0bf8aae96b44f057f525642735c"},"schema_version":"1.0"},"canonical_sha256":"d937067664466cdc15acd125420db7a5f4c3a8242cd102a16a2e7253308e12db","source":{"kind":"arxiv","id":"1304.3759","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1304.3759","created_at":"2026-05-18T01:50:33Z"},{"alias_kind":"arxiv_version","alias_value":"1304.3759v1","created_at":"2026-05-18T01:50:33Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1304.3759","created_at":"2026-05-18T01:50:33Z"},{"alias_kind":"pith_short_12","alias_value":"3E3QM5TEIZWN","created_at":"2026-05-18T12:27:32Z"},{"alias_kind":"pith_short_16","alias_value":"3E3QM5TEIZWNYFNM","created_at":"2026-05-18T12:27:32Z"},{"alias_kind":"pith_short_8","alias_value":"3E3QM5TE","created_at":"2026-05-18T12:27:32Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:3E3QM5TEIZWNYFNM2ESUEDNXUX","target":"record","payload":{"canonical_record":{"source":{"id":"1304.3759","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-sa/3.0/","primary_cat":"quant-ph","submitted_at":"2013-04-13T02:01:27Z","cross_cats_sorted":[],"title_canon_sha256":"03dfd1d866d105c01577893f8fb66e4c034c1d57345636e56dd7c2ada2d45b0e","abstract_canon_sha256":"25fd1fc2f3234f4e720e9bb5121960fd695cc0bf8aae96b44f057f525642735c"},"schema_version":"1.0"},"canonical_sha256":"d937067664466cdc15acd125420db7a5f4c3a8242cd102a16a2e7253308e12db","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:50:33.258542Z","signature_b64":"PlaPidWlXK7IGF1XvgPNFcNwtaQv2e6z38n5BRw8u34ybcO1lSMnD+BQzNc1yeAlawyKHDhNyN6UW7orJvaHDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d937067664466cdc15acd125420db7a5f4c3a8242cd102a16a2e7253308e12db","last_reissued_at":"2026-05-18T01:50:33.257885Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:50:33.257885Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1304.3759","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":"2026-05-18T01:50:33Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"YA15k0AN/eRlKvP3nnyck96xxEcwpZaGFljzAJDssRZZ6q3rtWd4SPbXu1KZ8ghNTvWouHBP0WfPdT6QPLG4Ag==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-06T14:52:08.337348Z"},"content_sha256":"e324ed29797842a29cef37c1e86092dd587760ef084a34e42f297f36e7e8e6ff","schema_version":"1.0","event_id":"sha256:e324ed29797842a29cef37c1e86092dd587760ef084a34e42f297f36e7e8e6ff"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:3E3QM5TEIZWNYFNM2ESUEDNXUX","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Bell-CHSH function approach to quantum phase transitions in matrix product systems","license":"http://creativecommons.org/licenses/by-nc-sa/3.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Bo Wang, Hai-Lin Huang, Zhao-Yu Sun","submitted_at":"2013-04-13T02:01:27Z","abstract_excerpt":"Recently, nonlocality and Bell inequalities have been used to investigate quantum phase transitions (QPTs) in low-dimensional quantum systems. Nonlocality can be detected by the Bell-CHSH function (BCF). In this work, we extend the study of BCF to the QPTs in matrix product systems (MPSs). In this kind of QPTs, the ground-state energy keeps analytical in the vicinity of the QPT points, and is usually called the MPS-QPTs. For several typical models, our results show that BCF can signal the MPS-QPTs very well. In addition, we find BCF can capture signal of QPTs in unentangled states and classica"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1304.3759","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":"2026-05-18T01:50:33Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"oA6YETr4NwpViyZage4Bv+trrX/gFWjZdaQoR+irDsyqpU68eM4kdm/UX9WJ0r4EohDM66KQKbmzH7GJZVFWBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-06T14:52:08.338078Z"},"content_sha256":"69a12bd12f4223a0572e211631980cd27f055502ee6ff26ce845b3063df1b896","schema_version":"1.0","event_id":"sha256:69a12bd12f4223a0572e211631980cd27f055502ee6ff26ce845b3063df1b896"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/3E3QM5TEIZWNYFNM2ESUEDNXUX/bundle.json","state_url":"https://pith.science/pith/3E3QM5TEIZWNYFNM2ESUEDNXUX/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/3E3QM5TEIZWNYFNM2ESUEDNXUX/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":"2026-06-06T14:52:08Z","links":{"resolver":"https://pith.science/pith/3E3QM5TEIZWNYFNM2ESUEDNXUX","bundle":"https://pith.science/pith/3E3QM5TEIZWNYFNM2ESUEDNXUX/bundle.json","state":"https://pith.science/pith/3E3QM5TEIZWNYFNM2ESUEDNXUX/state.json","well_known_bundle":"https://pith.science/.well-known/pith/3E3QM5TEIZWNYFNM2ESUEDNXUX/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:3E3QM5TEIZWNYFNM2ESUEDNXUX","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":"25fd1fc2f3234f4e720e9bb5121960fd695cc0bf8aae96b44f057f525642735c","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by-nc-sa/3.0/","primary_cat":"quant-ph","submitted_at":"2013-04-13T02:01:27Z","title_canon_sha256":"03dfd1d866d105c01577893f8fb66e4c034c1d57345636e56dd7c2ada2d45b0e"},"schema_version":"1.0","source":{"id":"1304.3759","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1304.3759","created_at":"2026-05-18T01:50:33Z"},{"alias_kind":"arxiv_version","alias_value":"1304.3759v1","created_at":"2026-05-18T01:50:33Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1304.3759","created_at":"2026-05-18T01:50:33Z"},{"alias_kind":"pith_short_12","alias_value":"3E3QM5TEIZWN","created_at":"2026-05-18T12:27:32Z"},{"alias_kind":"pith_short_16","alias_value":"3E3QM5TEIZWNYFNM","created_at":"2026-05-18T12:27:32Z"},{"alias_kind":"pith_short_8","alias_value":"3E3QM5TE","created_at":"2026-05-18T12:27:32Z"}],"graph_snapshots":[{"event_id":"sha256:69a12bd12f4223a0572e211631980cd27f055502ee6ff26ce845b3063df1b896","target":"graph","created_at":"2026-05-18T01:50:33Z","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":"Recently, nonlocality and Bell inequalities have been used to investigate quantum phase transitions (QPTs) in low-dimensional quantum systems. Nonlocality can be detected by the Bell-CHSH function (BCF). In this work, we extend the study of BCF to the QPTs in matrix product systems (MPSs). In this kind of QPTs, the ground-state energy keeps analytical in the vicinity of the QPT points, and is usually called the MPS-QPTs. For several typical models, our results show that BCF can signal the MPS-QPTs very well. In addition, we find BCF can capture signal of QPTs in unentangled states and classica","authors_text":"Bo Wang, Hai-Lin Huang, Zhao-Yu Sun","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by-nc-sa/3.0/","primary_cat":"quant-ph","submitted_at":"2013-04-13T02:01:27Z","title":"Bell-CHSH function approach to quantum phase transitions in matrix product systems"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1304.3759","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:e324ed29797842a29cef37c1e86092dd587760ef084a34e42f297f36e7e8e6ff","target":"record","created_at":"2026-05-18T01:50:33Z","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":"25fd1fc2f3234f4e720e9bb5121960fd695cc0bf8aae96b44f057f525642735c","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by-nc-sa/3.0/","primary_cat":"quant-ph","submitted_at":"2013-04-13T02:01:27Z","title_canon_sha256":"03dfd1d866d105c01577893f8fb66e4c034c1d57345636e56dd7c2ada2d45b0e"},"schema_version":"1.0","source":{"id":"1304.3759","kind":"arxiv","version":1}},"canonical_sha256":"d937067664466cdc15acd125420db7a5f4c3a8242cd102a16a2e7253308e12db","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d937067664466cdc15acd125420db7a5f4c3a8242cd102a16a2e7253308e12db","first_computed_at":"2026-05-18T01:50:33.257885Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:50:33.257885Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"PlaPidWlXK7IGF1XvgPNFcNwtaQv2e6z38n5BRw8u34ybcO1lSMnD+BQzNc1yeAlawyKHDhNyN6UW7orJvaHDA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:50:33.258542Z","signed_message":"canonical_sha256_bytes"},"source_id":"1304.3759","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e324ed29797842a29cef37c1e86092dd587760ef084a34e42f297f36e7e8e6ff","sha256:69a12bd12f4223a0572e211631980cd27f055502ee6ff26ce845b3063df1b896"],"state_sha256":"c42b2a924164f348defdd9d2302134030babb5dd6f5d6348cd1c0bea6570ef77"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"xSyKHgePvpxYiLi7vNEGSW7sMZglGE2BeRxassWq78Iq36PW3KzGtFVvUiSRjxNAuD57VLq0nMqQgrfKRsqNAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-06T14:52:08.342394Z","bundle_sha256":"30c243820f78bb126ae902cdb2665f7523224949294e22ae83c2c86a3a5fbecc"}}