{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2006:CZY6PKC6LIGY4WKWMAVSXCFH5G","short_pith_number":"pith:CZY6PKC6","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"},"canonical_sha256":"1671e7a85e5a0d8e5956602b2b88a7e9b548ca312d8205977a90b09ab04145c2","source":{"kind":"arxiv","id":"quant-ph/0606130","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"quant-ph/0606130","created_at":"2026-05-18T01:37:54Z"},{"alias_kind":"arxiv_version","alias_value":"quant-ph/0606130v1","created_at":"2026-05-18T01:37:54Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.quant-ph/0606130","created_at":"2026-05-18T01:37:54Z"},{"alias_kind":"pith_short_12","alias_value":"CZY6PKC6LIGY","created_at":"2026-05-18T12:25:53Z"},{"alias_kind":"pith_short_16","alias_value":"CZY6PKC6LIGY4WKW","created_at":"2026-05-18T12:25:53Z"},{"alias_kind":"pith_short_8","alias_value":"CZY6PKC6","created_at":"2026-05-18T12:25:53Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2006:CZY6PKC6LIGY4WKWMAVSXCFH5G","target":"record","payload":{"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"},"canonical_sha256":"1671e7a85e5a0d8e5956602b2b88a7e9b548ca312d8205977a90b09ab04145c2","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"},"source_kind":"arxiv","source_id":"quant-ph/0606130","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":"2026-05-18T01:37:54Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Uf3+Gjq+xBon2hF8x7gblF+WWcJNAMRvYMwswPVdr2r5LSI7LklerdG6xvC+eJkSkFS5TGbKTSQYVrBIUTgOCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T12:18:50.276726Z"},"content_sha256":"2212f5d6c027ce8c630a46bf1bb308d306eb6c62dea5f34b783282d10b7d1286","schema_version":"1.0","event_id":"sha256:2212f5d6c027ce8c630a46bf1bb308d306eb6c62dea5f34b783282d10b7d1286"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2006:CZY6PKC6LIGY4WKWMAVSXCFH5G","target":"graph","payload":{"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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:37:54Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"9vDQdpxJBacIhUKIFxDF0eALpiNUy06Q/bynDPOZJ/Xhe8ekAvZh/gNKT1ho3r0Qkf0meh1JnlP6iUXK/vn/Ag==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T12:18:50.277411Z"},"content_sha256":"2deded1f9a469d13cb5f33f02f93a4d9dc98bff8ccf7f2375a1923703195dcb1","schema_version":"1.0","event_id":"sha256:2deded1f9a469d13cb5f33f02f93a4d9dc98bff8ccf7f2375a1923703195dcb1"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/CZY6PKC6LIGY4WKWMAVSXCFH5G/bundle.json","state_url":"https://pith.science/pith/CZY6PKC6LIGY4WKWMAVSXCFH5G/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/CZY6PKC6LIGY4WKWMAVSXCFH5G/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":"2026-05-26T12:18:50Z","links":{"resolver":"https://pith.science/pith/CZY6PKC6LIGY4WKWMAVSXCFH5G","bundle":"https://pith.science/pith/CZY6PKC6LIGY4WKWMAVSXCFH5G/bundle.json","state":"https://pith.science/pith/CZY6PKC6LIGY4WKWMAVSXCFH5G/state.json","well_known_bundle":"https://pith.science/.well-known/pith/CZY6PKC6LIGY4WKWMAVSXCFH5G/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2006:CZY6PKC6LIGY4WKWMAVSXCFH5G","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":"50de862cadb9ed2585baa0c089774a8a6a2765a5cad3b1599447515aee64cc04","cross_cats_sorted":["cond-mat.str-el"],"license":"","primary_cat":"quant-ph","submitted_at":"2006-06-15T09:10:42Z","title_canon_sha256":"d0b079132288b2f98b48e89e5c2c609ddcfc172c3db67fbb42f2a2ba4e85afa2"},"schema_version":"1.0","source":{"id":"quant-ph/0606130","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"quant-ph/0606130","created_at":"2026-05-18T01:37:54Z"},{"alias_kind":"arxiv_version","alias_value":"quant-ph/0606130v1","created_at":"2026-05-18T01:37:54Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.quant-ph/0606130","created_at":"2026-05-18T01:37:54Z"},{"alias_kind":"pith_short_12","alias_value":"CZY6PKC6LIGY","created_at":"2026-05-18T12:25:53Z"},{"alias_kind":"pith_short_16","alias_value":"CZY6PKC6LIGY4WKW","created_at":"2026-05-18T12:25:53Z"},{"alias_kind":"pith_short_8","alias_value":"CZY6PKC6","created_at":"2026-05-18T12:25:53Z"}],"graph_snapshots":[{"event_id":"sha256:2deded1f9a469d13cb5f33f02f93a4d9dc98bff8ccf7f2375a1923703195dcb1","target":"graph","created_at":"2026-05-18T01:37:54Z","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 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 ","authors_text":"M. Cozzini, P. Giorda, P. Zanardi","cross_cats":["cond-mat.str-el"],"headline":"","license":"","primary_cat":"quant-ph","submitted_at":"2006-06-15T09:10:42Z","title":"Ground state fidelity and quantum phase transitions in free Fermi systems"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"quant-ph/0606130","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":"sha256:2212f5d6c027ce8c630a46bf1bb308d306eb6c62dea5f34b783282d10b7d1286","target":"record","created_at":"2026-05-18T01:37:54Z","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":"50de862cadb9ed2585baa0c089774a8a6a2765a5cad3b1599447515aee64cc04","cross_cats_sorted":["cond-mat.str-el"],"license":"","primary_cat":"quant-ph","submitted_at":"2006-06-15T09:10:42Z","title_canon_sha256":"d0b079132288b2f98b48e89e5c2c609ddcfc172c3db67fbb42f2a2ba4e85afa2"},"schema_version":"1.0","source":{"id":"quant-ph/0606130","kind":"arxiv","version":1}},"canonical_sha256":"1671e7a85e5a0d8e5956602b2b88a7e9b548ca312d8205977a90b09ab04145c2","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1671e7a85e5a0d8e5956602b2b88a7e9b548ca312d8205977a90b09ab04145c2","first_computed_at":"2026-05-18T01:37:54.596859Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:37:54.596859Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ezeBRra/2YNF1hFVlO2mpEPA214lwPy9NNuq6tGyBheE4OzSGc7qLybZ4n3cBz+lHxBTYvYKKMKKtbfS5gJKCA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:37:54.597336Z","signed_message":"canonical_sha256_bytes"},"source_id":"quant-ph/0606130","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2212f5d6c027ce8c630a46bf1bb308d306eb6c62dea5f34b783282d10b7d1286","sha256:2deded1f9a469d13cb5f33f02f93a4d9dc98bff8ccf7f2375a1923703195dcb1"],"state_sha256":"78d77f873856332efc6975344f50d8b8a718e8d6f5d9a79490ffe4fee9b4299e"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"GQByDhhVJ4HD0yf9vtpIWT9ejeHTz2zL22rzeUsdtysG6CYTjzkwOaZ1GMcfpJ3LLtrt9IH8b9QeVV8novEiAA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-26T12:18:50.280795Z","bundle_sha256":"e42349d388f7bc0284c603153965cddefb3dc3c6c8f83e7e5f2152629edebbc3"}}