{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2006:CZY6PKC6LIGY4WKWMAVSXCFH5G","short_pith_number":"pith:CZY6PKC6","schema_version":"1.0","canonical_sha256":"1671e7a85e5a0d8e5956602b2b88a7e9b548ca312d8205977a90b09ab04145c2","source":{"kind":"arxiv","id":"quant-ph/0606130","version":1},"attestation_state":"computed","paper":{"title":"Ground state fidelity and quantum phase transitions in free Fermi systems","license":"","headline":"","cross_cats":["cond-mat.str-el"],"primary_cat":"quant-ph","authors_text":"M. Cozzini, P. Giorda, P. Zanardi","submitted_at":"2006-06-15T09:10:42Z","abstract_excerpt":"We compute the fidelity between the ground states of general quadratic fermionic hamiltonians and analyze its connections with quantum phase transitions. Each of these systems is characterized by a $L\\times L$ real matrix whose polar decomposition, into a non-negative $\\Lambda$ and a unitary $T$, contains all the relevant ground state (GS) information. The boundaries between different regions in the GS phase diagram are given by the points of, possibly asymptotic, singularity of $\\Lambda$. This latter in turn implies a critical drop of the fidelity function. We present general results as well "},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"quant-ph/0606130","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"quant-ph","submitted_at":"2006-06-15T09:10:42Z","cross_cats_sorted":["cond-mat.str-el"],"title_canon_sha256":"d0b079132288b2f98b48e89e5c2c609ddcfc172c3db67fbb42f2a2ba4e85afa2","abstract_canon_sha256":"50de862cadb9ed2585baa0c089774a8a6a2765a5cad3b1599447515aee64cc04"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:37:54.597336Z","signature_b64":"ezeBRra/2YNF1hFVlO2mpEPA214lwPy9NNuq6tGyBheE4OzSGc7qLybZ4n3cBz+lHxBTYvYKKMKKtbfS5gJKCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1671e7a85e5a0d8e5956602b2b88a7e9b548ca312d8205977a90b09ab04145c2","last_reissued_at":"2026-05-18T01:37:54.596859Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:37:54.596859Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Ground state fidelity and quantum phase transitions in free Fermi systems","license":"","headline":"","cross_cats":["cond-mat.str-el"],"primary_cat":"quant-ph","authors_text":"M. Cozzini, P. Giorda, P. Zanardi","submitted_at":"2006-06-15T09:10:42Z","abstract_excerpt":"We compute the fidelity between the ground states of general quadratic fermionic hamiltonians and analyze its connections with quantum phase transitions. Each of these systems is characterized by a $L\\times L$ real matrix whose polar decomposition, into a non-negative $\\Lambda$ and a unitary $T$, contains all the relevant ground state (GS) information. The boundaries between different regions in the GS phase diagram are given by the points of, possibly asymptotic, singularity of $\\Lambda$. This latter in turn implies a critical drop of the fidelity function. We present general results as well "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"quant-ph/0606130","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"},"aliases":[{"alias_kind":"arxiv","alias_value":"quant-ph/0606130","created_at":"2026-05-18T01:37:54.596929+00:00"},{"alias_kind":"arxiv_version","alias_value":"quant-ph/0606130v1","created_at":"2026-05-18T01:37:54.596929+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.quant-ph/0606130","created_at":"2026-05-18T01:37:54.596929+00:00"},{"alias_kind":"pith_short_12","alias_value":"CZY6PKC6LIGY","created_at":"2026-05-18T12:25:53.939244+00:00"},{"alias_kind":"pith_short_16","alias_value":"CZY6PKC6LIGY4WKW","created_at":"2026-05-18T12:25:53.939244+00:00"},{"alias_kind":"pith_short_8","alias_value":"CZY6PKC6","created_at":"2026-05-18T12:25:53.939244+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/CZY6PKC6LIGY4WKWMAVSXCFH5G","json":"https://pith.science/pith/CZY6PKC6LIGY4WKWMAVSXCFH5G.json","graph_json":"https://pith.science/api/pith-number/CZY6PKC6LIGY4WKWMAVSXCFH5G/graph.json","events_json":"https://pith.science/api/pith-number/CZY6PKC6LIGY4WKWMAVSXCFH5G/events.json","paper":"https://pith.science/paper/CZY6PKC6"},"agent_actions":{"view_html":"https://pith.science/pith/CZY6PKC6LIGY4WKWMAVSXCFH5G","download_json":"https://pith.science/pith/CZY6PKC6LIGY4WKWMAVSXCFH5G.json","view_paper":"https://pith.science/paper/CZY6PKC6","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=quant-ph/0606130&json=true","fetch_graph":"https://pith.science/api/pith-number/CZY6PKC6LIGY4WKWMAVSXCFH5G/graph.json","fetch_events":"https://pith.science/api/pith-number/CZY6PKC6LIGY4WKWMAVSXCFH5G/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/CZY6PKC6LIGY4WKWMAVSXCFH5G/action/timestamp_anchor","attest_storage":"https://pith.science/pith/CZY6PKC6LIGY4WKWMAVSXCFH5G/action/storage_attestation","attest_author":"https://pith.science/pith/CZY6PKC6LIGY4WKWMAVSXCFH5G/action/author_attestation","sign_citation":"https://pith.science/pith/CZY6PKC6LIGY4WKWMAVSXCFH5G/action/citation_signature","submit_replication":"https://pith.science/pith/CZY6PKC6LIGY4WKWMAVSXCFH5G/action/replication_record"}},"created_at":"2026-05-18T01:37:54.596929+00:00","updated_at":"2026-05-18T01:37:54.596929+00:00"}