{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2023:ESMR2R5LQLCUOXVNSXON6OL54E","short_pith_number":"pith:ESMR2R5L","canonical_record":{"source":{"id":"2302.07228","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2023-02-14T18:18:21Z","cross_cats_sorted":["cond-mat.stat-mech","cond-mat.str-el","hep-th"],"title_canon_sha256":"9551ec3e4c11efa35493a346d3d28f7231e1af6b6863acbf59b860153c0df498","abstract_canon_sha256":"bd87a36d6776767c27f25c21555a0ebd56a782fcf742f548c629d28a9bb3b8e1"},"schema_version":"1.0"},"canonical_sha256":"24991d47ab82c5475ead95dcdf397de12cb3016c8b98179d8fc3c3016a599fb5","source":{"kind":"arxiv","id":"2302.07228","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2302.07228","created_at":"2026-07-05T05:43:20Z"},{"alias_kind":"arxiv_version","alias_value":"2302.07228v2","created_at":"2026-07-05T05:43:20Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2302.07228","created_at":"2026-07-05T05:43:20Z"},{"alias_kind":"pith_short_12","alias_value":"ESMR2R5LQLCU","created_at":"2026-07-05T05:43:20Z"},{"alias_kind":"pith_short_16","alias_value":"ESMR2R5LQLCUOXVN","created_at":"2026-07-05T05:43:20Z"},{"alias_kind":"pith_short_8","alias_value":"ESMR2R5L","created_at":"2026-07-05T05:43:20Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2023:ESMR2R5LQLCUOXVNSXON6OL54E","target":"record","payload":{"canonical_record":{"source":{"id":"2302.07228","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2023-02-14T18:18:21Z","cross_cats_sorted":["cond-mat.stat-mech","cond-mat.str-el","hep-th"],"title_canon_sha256":"9551ec3e4c11efa35493a346d3d28f7231e1af6b6863acbf59b860153c0df498","abstract_canon_sha256":"bd87a36d6776767c27f25c21555a0ebd56a782fcf742f548c629d28a9bb3b8e1"},"schema_version":"1.0"},"canonical_sha256":"24991d47ab82c5475ead95dcdf397de12cb3016c8b98179d8fc3c3016a599fb5","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T05:43:20.375394Z","signature_b64":"c1pm/1hC6wmIIgETCtw1YClwbgzx011pshpACapTy69CtdbF+oGScSEqZsyK4lOhDJKWEHCzG0KkFrEJS1MtAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"24991d47ab82c5475ead95dcdf397de12cb3016c8b98179d8fc3c3016a599fb5","last_reissued_at":"2026-07-05T05:43:20.374900Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T05:43:20.374900Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2302.07228","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T05:43:20Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"GamuPX+GyAho3uCN8h8qOOlDJfjX5uEOmCjcKuiMFmjtyCBjFxpD6Lq/lr62RLHuf++sQaeDF35zqPc1UyHHBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-04T08:36:22.967372Z"},"content_sha256":"b237a0a30593dda8c759870d2c4e82bb5ad0978f114088151e9df749808a6513","schema_version":"1.0","event_id":"sha256:b237a0a30593dda8c759870d2c4e82bb5ad0978f114088151e9df749808a6513"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2023:ESMR2R5LQLCUOXVNSXON6OL54E","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A Lanczos approach to the Adiabatic Gauge Potential","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.stat-mech","cond-mat.str-el","hep-th"],"primary_cat":"quant-ph","authors_text":"Budhaditya Bhattacharjee","submitted_at":"2023-02-14T18:18:21Z","abstract_excerpt":"The Adiabatic Gauge Potential (AGP) is the generator of adiabatic deformations between quantum eigenstates. There are many ways to construct the AGP operator and evaluate the AGP norm. Recently, it was proposed that a Gram-Schmidt-type algorithm can be used to explicitly evaluate the expression of the AGP. We employ a version of this approach by using the Lanczos algorithm to evaluate the AGP operator in terms of Krylov vectors and the AGP norm in terms of the Lanczos coefficients. It has the advantage of minimizing redundancies in evaluating the nested commutators in the analytic expression f"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2302.07228","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2302.07228/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-07-05T05:43:20Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"drSzVJNYPaRTp3AhUEMX2s1lW2C/kIU7pvjrMGw9UI7a/dbESeLnKlA6DuSDJWZbcmLvbTWTQfQEnRAYBwW4BQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-04T08:36:22.967957Z"},"content_sha256":"69429696e1b977c0947e3a72258c65617e1e07ad6456e135c487db9ebc79dea0","schema_version":"1.0","event_id":"sha256:69429696e1b977c0947e3a72258c65617e1e07ad6456e135c487db9ebc79dea0"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/ESMR2R5LQLCUOXVNSXON6OL54E/bundle.json","state_url":"https://pith.science/pith/ESMR2R5LQLCUOXVNSXON6OL54E/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/ESMR2R5LQLCUOXVNSXON6OL54E/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":"2026-08-04T08:36:22Z","links":{"resolver":"https://pith.science/pith/ESMR2R5LQLCUOXVNSXON6OL54E","bundle":"https://pith.science/pith/ESMR2R5LQLCUOXVNSXON6OL54E/bundle.json","state":"https://pith.science/pith/ESMR2R5LQLCUOXVNSXON6OL54E/state.json","well_known_bundle":"https://pith.science/.well-known/pith/ESMR2R5LQLCUOXVNSXON6OL54E/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2023:ESMR2R5LQLCUOXVNSXON6OL54E","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":"bd87a36d6776767c27f25c21555a0ebd56a782fcf742f548c629d28a9bb3b8e1","cross_cats_sorted":["cond-mat.stat-mech","cond-mat.str-el","hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2023-02-14T18:18:21Z","title_canon_sha256":"9551ec3e4c11efa35493a346d3d28f7231e1af6b6863acbf59b860153c0df498"},"schema_version":"1.0","source":{"id":"2302.07228","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2302.07228","created_at":"2026-07-05T05:43:20Z"},{"alias_kind":"arxiv_version","alias_value":"2302.07228v2","created_at":"2026-07-05T05:43:20Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2302.07228","created_at":"2026-07-05T05:43:20Z"},{"alias_kind":"pith_short_12","alias_value":"ESMR2R5LQLCU","created_at":"2026-07-05T05:43:20Z"},{"alias_kind":"pith_short_16","alias_value":"ESMR2R5LQLCUOXVN","created_at":"2026-07-05T05:43:20Z"},{"alias_kind":"pith_short_8","alias_value":"ESMR2R5L","created_at":"2026-07-05T05:43:20Z"}],"graph_snapshots":[{"event_id":"sha256:69429696e1b977c0947e3a72258c65617e1e07ad6456e135c487db9ebc79dea0","target":"graph","created_at":"2026-07-05T05:43:20Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2302.07228/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The Adiabatic Gauge Potential (AGP) is the generator of adiabatic deformations between quantum eigenstates. There are many ways to construct the AGP operator and evaluate the AGP norm. Recently, it was proposed that a Gram-Schmidt-type algorithm can be used to explicitly evaluate the expression of the AGP. We employ a version of this approach by using the Lanczos algorithm to evaluate the AGP operator in terms of Krylov vectors and the AGP norm in terms of the Lanczos coefficients. It has the advantage of minimizing redundancies in evaluating the nested commutators in the analytic expression f","authors_text":"Budhaditya Bhattacharjee","cross_cats":["cond-mat.stat-mech","cond-mat.str-el","hep-th"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2023-02-14T18:18:21Z","title":"A Lanczos approach to the Adiabatic Gauge Potential"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2302.07228","kind":"arxiv","version":2},"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:b237a0a30593dda8c759870d2c4e82bb5ad0978f114088151e9df749808a6513","target":"record","created_at":"2026-07-05T05:43:20Z","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":"bd87a36d6776767c27f25c21555a0ebd56a782fcf742f548c629d28a9bb3b8e1","cross_cats_sorted":["cond-mat.stat-mech","cond-mat.str-el","hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2023-02-14T18:18:21Z","title_canon_sha256":"9551ec3e4c11efa35493a346d3d28f7231e1af6b6863acbf59b860153c0df498"},"schema_version":"1.0","source":{"id":"2302.07228","kind":"arxiv","version":2}},"canonical_sha256":"24991d47ab82c5475ead95dcdf397de12cb3016c8b98179d8fc3c3016a599fb5","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"24991d47ab82c5475ead95dcdf397de12cb3016c8b98179d8fc3c3016a599fb5","first_computed_at":"2026-07-05T05:43:20.374900Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T05:43:20.374900Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"c1pm/1hC6wmIIgETCtw1YClwbgzx011pshpACapTy69CtdbF+oGScSEqZsyK4lOhDJKWEHCzG0KkFrEJS1MtAw==","signature_status":"signed_v1","signed_at":"2026-07-05T05:43:20.375394Z","signed_message":"canonical_sha256_bytes"},"source_id":"2302.07228","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b237a0a30593dda8c759870d2c4e82bb5ad0978f114088151e9df749808a6513","sha256:69429696e1b977c0947e3a72258c65617e1e07ad6456e135c487db9ebc79dea0"],"state_sha256":"9f2822c5ce9a0f6b7de18e52a6f4fdc87a066e2d4685e50a2cd5f962682a908a"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"2cZKMAPtUTBOBYrBiBwTeeRZxEH5LkG6CV1/CGXjaU/n2/eUmYr4xQKFAlDot8V3livP08iH1JJTznU0/JAFDQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-04T08:36:22.972434Z","bundle_sha256":"17185becb1d4fa9a1be1960ea91b30338a6db967eb698116dac9b382c981d664"}}