{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:F7SLCSNQ5WSVX3VEUOJR2R6JM4","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":"bfb9b656beab516b5e8f25548b816cd8101d01ff30585cae7c6d88f757e85947","cross_cats_sorted":["cond-mat.stat-mech","math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2016-05-26T15:31:22Z","title_canon_sha256":"6c33146252788934ab6b9b7c9e8680ca49b7fc67247631e94a71bf4cd846d43d"},"schema_version":"1.0","source":{"id":"1605.08335","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1605.08335","created_at":"2026-05-18T01:13:31Z"},{"alias_kind":"arxiv_version","alias_value":"1605.08335v1","created_at":"2026-05-18T01:13:31Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1605.08335","created_at":"2026-05-18T01:13:31Z"},{"alias_kind":"pith_short_12","alias_value":"F7SLCSNQ5WSV","created_at":"2026-05-18T12:30:15Z"},{"alias_kind":"pith_short_16","alias_value":"F7SLCSNQ5WSVX3VE","created_at":"2026-05-18T12:30:15Z"},{"alias_kind":"pith_short_8","alias_value":"F7SLCSNQ","created_at":"2026-05-18T12:30:15Z"}],"graph_snapshots":[{"event_id":"sha256:b2daae3aa90904b8ef1ed1942a50b1d58887c66097a12e286c5a78cc4e5117c2","target":"graph","created_at":"2026-05-18T01:13:31Z","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":"The quantum metric tensor was introduced for defining the distance in the parameter space of a system. However, it is also useful for other purposes, like predicting quantum phase transitions. Due to the physical information this tensor provides, its gauge independence sounds reasonable. More over, its original construction was made by looking for this gauge independence. The aim of this paper, however, is to prove that the quantum metric tensor does depend on the gauge. In addition, a real gauge invariant quantum metric tensor is introduced. In this paper, the gauge dependence is explicitly s","authors_text":"J. Alvarez-Jimenez, J. D. Vergara","cross_cats":["cond-mat.stat-mech","math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2016-05-26T15:31:22Z","title":"Gauge Invariance and the Quantum Metric Tensor"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1605.08335","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:ceca85f1a65cf27fdeec275aee9aec7d2fe60786df86ea6e9b10391970715ed7","target":"record","created_at":"2026-05-18T01:13:31Z","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":"bfb9b656beab516b5e8f25548b816cd8101d01ff30585cae7c6d88f757e85947","cross_cats_sorted":["cond-mat.stat-mech","math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2016-05-26T15:31:22Z","title_canon_sha256":"6c33146252788934ab6b9b7c9e8680ca49b7fc67247631e94a71bf4cd846d43d"},"schema_version":"1.0","source":{"id":"1605.08335","kind":"arxiv","version":1}},"canonical_sha256":"2fe4b149b0eda55beea4a3931d47c9672f32caf3621492c209835bf000fcc331","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2fe4b149b0eda55beea4a3931d47c9672f32caf3621492c209835bf000fcc331","first_computed_at":"2026-05-18T01:13:31.853027Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:13:31.853027Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"1+1lcBAUroFAwlM2DqWdq5WVrTlfemn4Vawbr8fJMGhwuun/1Kbw4AG1+tTO2wU3wthDisuZdYB7mKPepx57DQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:13:31.853734Z","signed_message":"canonical_sha256_bytes"},"source_id":"1605.08335","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ceca85f1a65cf27fdeec275aee9aec7d2fe60786df86ea6e9b10391970715ed7","sha256:b2daae3aa90904b8ef1ed1942a50b1d58887c66097a12e286c5a78cc4e5117c2"],"state_sha256":"d536cd3cfdaefa82cd73da0dbbd5a1a70136b734dcb7a9ac4be5dd766fd5dfb5"}