{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2025:SBHP5XCHHAKJQFJZMVW5QFHCKU","short_pith_number":"pith:SBHP5XCH","canonical_record":{"source":{"id":"2507.20679","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2025-07-28T10:02:40Z","cross_cats_sorted":["cond-mat.mes-hall","cond-mat.mtrl-sci"],"title_canon_sha256":"3c6f8751274e13fd78f7c8ff326256a613abe513275d5882c707b92f4e7608ff","abstract_canon_sha256":"36a5d31f3f74e34e3309fc41903adacb261715c2053e975650d4f4cf0b07fe9e"},"schema_version":"1.0"},"canonical_sha256":"904efedc473814981539656dd814e2553717c414b09e8e8c63d507f2208494b7","source":{"kind":"arxiv","id":"2507.20679","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2507.20679","created_at":"2026-07-05T11:44:23Z"},{"alias_kind":"arxiv_version","alias_value":"2507.20679v1","created_at":"2026-07-05T11:44:23Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2507.20679","created_at":"2026-07-05T11:44:23Z"},{"alias_kind":"pith_short_12","alias_value":"SBHP5XCHHAKJ","created_at":"2026-07-05T11:44:23Z"},{"alias_kind":"pith_short_16","alias_value":"SBHP5XCHHAKJQFJZ","created_at":"2026-07-05T11:44:23Z"},{"alias_kind":"pith_short_8","alias_value":"SBHP5XCH","created_at":"2026-07-05T11:44:23Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2025:SBHP5XCHHAKJQFJZMVW5QFHCKU","target":"record","payload":{"canonical_record":{"source":{"id":"2507.20679","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2025-07-28T10:02:40Z","cross_cats_sorted":["cond-mat.mes-hall","cond-mat.mtrl-sci"],"title_canon_sha256":"3c6f8751274e13fd78f7c8ff326256a613abe513275d5882c707b92f4e7608ff","abstract_canon_sha256":"36a5d31f3f74e34e3309fc41903adacb261715c2053e975650d4f4cf0b07fe9e"},"schema_version":"1.0"},"canonical_sha256":"904efedc473814981539656dd814e2553717c414b09e8e8c63d507f2208494b7","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T11:44:23.981771Z","signature_b64":"rBN0uyB0DM58Aju0mC24oSiBdvalplLLvpaHYCVK2IA4R3mK/SvM4Ee8C4riJ/ph1L9cfuGr4xv4fOb/lHloBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"904efedc473814981539656dd814e2553717c414b09e8e8c63d507f2208494b7","last_reissued_at":"2026-07-05T11:44:23.981355Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T11:44:23.981355Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2507.20679","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":"2026-07-05T11:44:23Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"gxYgFETCG8wcMjx2iWe/Tb0A9RiictD8eHrwERDVrohMY99kkyNqMmop93QXZB5QJ6p//NeagaBgnKuPiSd5Aw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-14T10:48:10.074148Z"},"content_sha256":"83f3b3411dbba8495cc931e0b920623b39409d9b2c15ae8507a690c0398b7196","schema_version":"1.0","event_id":"sha256:83f3b3411dbba8495cc931e0b920623b39409d9b2c15ae8507a690c0398b7196"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2025:SBHP5XCHHAKJQFJZMVW5QFHCKU","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Effects of Ill-Defined Domain of Definitions of the Parameter Operator on Berry Curvature and the Adiabatic Theorem","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["cond-mat.mes-hall","cond-mat.mtrl-sci"],"primary_cat":"quant-ph","authors_text":"Georgios Konstantinou, Konstantinos Moulopoulos","submitted_at":"2025-07-28T10:02:40Z","abstract_excerpt":"We present a comprehensive analytical study that extends the conventional formulation of Berry curvature, highlighting its derivation in the context of problematic domains of definition of the operators. Our analysis reveals that handling these domains carefully can have a substantial impact on Berry curvature, demonstrating that even Hamiltonians without explicit parameter dependence may exhibit nonzero Berry curvature. This finding emphasizes that Berry curvature is intrinsically related to the eigenvectors rather than the Hamiltonian itself. Our approach utilizes the standard Bloch (k-space"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2507.20679","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2507.20679/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":"2026-07-05T11:44:23Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"m6kWQPS/txamlctOInfLIYSNZs8Ybm5RTyT7KANzZwa2jhS1Gno32SQrf8aq0Lm56vbZMFEc+L0lg2tCcC3+BA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-14T10:48:10.075019Z"},"content_sha256":"7cb7adb0120547f8043f74bb497107142ae61d12c5ad93620762d47ae12eade3","schema_version":"1.0","event_id":"sha256:7cb7adb0120547f8043f74bb497107142ae61d12c5ad93620762d47ae12eade3"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/SBHP5XCHHAKJQFJZMVW5QFHCKU/bundle.json","state_url":"https://pith.science/pith/SBHP5XCHHAKJQFJZMVW5QFHCKU/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/SBHP5XCHHAKJQFJZMVW5QFHCKU/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":"2026-08-14T10:48:10Z","links":{"resolver":"https://pith.science/pith/SBHP5XCHHAKJQFJZMVW5QFHCKU","bundle":"https://pith.science/pith/SBHP5XCHHAKJQFJZMVW5QFHCKU/bundle.json","state":"https://pith.science/pith/SBHP5XCHHAKJQFJZMVW5QFHCKU/state.json","well_known_bundle":"https://pith.science/.well-known/pith/SBHP5XCHHAKJQFJZMVW5QFHCKU/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:SBHP5XCHHAKJQFJZMVW5QFHCKU","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":"36a5d31f3f74e34e3309fc41903adacb261715c2053e975650d4f4cf0b07fe9e","cross_cats_sorted":["cond-mat.mes-hall","cond-mat.mtrl-sci"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2025-07-28T10:02:40Z","title_canon_sha256":"3c6f8751274e13fd78f7c8ff326256a613abe513275d5882c707b92f4e7608ff"},"schema_version":"1.0","source":{"id":"2507.20679","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2507.20679","created_at":"2026-07-05T11:44:23Z"},{"alias_kind":"arxiv_version","alias_value":"2507.20679v1","created_at":"2026-07-05T11:44:23Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2507.20679","created_at":"2026-07-05T11:44:23Z"},{"alias_kind":"pith_short_12","alias_value":"SBHP5XCHHAKJ","created_at":"2026-07-05T11:44:23Z"},{"alias_kind":"pith_short_16","alias_value":"SBHP5XCHHAKJQFJZ","created_at":"2026-07-05T11:44:23Z"},{"alias_kind":"pith_short_8","alias_value":"SBHP5XCH","created_at":"2026-07-05T11:44:23Z"}],"graph_snapshots":[{"event_id":"sha256:7cb7adb0120547f8043f74bb497107142ae61d12c5ad93620762d47ae12eade3","target":"graph","created_at":"2026-07-05T11:44:23Z","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/2507.20679/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We present a comprehensive analytical study that extends the conventional formulation of Berry curvature, highlighting its derivation in the context of problematic domains of definition of the operators. Our analysis reveals that handling these domains carefully can have a substantial impact on Berry curvature, demonstrating that even Hamiltonians without explicit parameter dependence may exhibit nonzero Berry curvature. This finding emphasizes that Berry curvature is intrinsically related to the eigenvectors rather than the Hamiltonian itself. Our approach utilizes the standard Bloch (k-space","authors_text":"Georgios Konstantinou, Konstantinos Moulopoulos","cross_cats":["cond-mat.mes-hall","cond-mat.mtrl-sci"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2025-07-28T10:02:40Z","title":"Effects of Ill-Defined Domain of Definitions of the Parameter Operator on Berry Curvature and the Adiabatic Theorem"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2507.20679","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":"sha256:83f3b3411dbba8495cc931e0b920623b39409d9b2c15ae8507a690c0398b7196","target":"record","created_at":"2026-07-05T11:44:23Z","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":"36a5d31f3f74e34e3309fc41903adacb261715c2053e975650d4f4cf0b07fe9e","cross_cats_sorted":["cond-mat.mes-hall","cond-mat.mtrl-sci"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2025-07-28T10:02:40Z","title_canon_sha256":"3c6f8751274e13fd78f7c8ff326256a613abe513275d5882c707b92f4e7608ff"},"schema_version":"1.0","source":{"id":"2507.20679","kind":"arxiv","version":1}},"canonical_sha256":"904efedc473814981539656dd814e2553717c414b09e8e8c63d507f2208494b7","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"904efedc473814981539656dd814e2553717c414b09e8e8c63d507f2208494b7","first_computed_at":"2026-07-05T11:44:23.981355Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T11:44:23.981355Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"rBN0uyB0DM58Aju0mC24oSiBdvalplLLvpaHYCVK2IA4R3mK/SvM4Ee8C4riJ/ph1L9cfuGr4xv4fOb/lHloBA==","signature_status":"signed_v1","signed_at":"2026-07-05T11:44:23.981771Z","signed_message":"canonical_sha256_bytes"},"source_id":"2507.20679","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:83f3b3411dbba8495cc931e0b920623b39409d9b2c15ae8507a690c0398b7196","sha256:7cb7adb0120547f8043f74bb497107142ae61d12c5ad93620762d47ae12eade3"],"state_sha256":"34a6d96aae4aa1b4e16812c463c53b48548ffafe1dd95ce7cc0865bd8ece854b"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"30NEODy36imi58QpgDcvUKNz7ho9nWDvt3Z9A0iltNwT6PAoR0SwUn6ATe6seY0PLoyUZmPtSrX2QbASKKJWDw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-14T10:48:10.086734Z","bundle_sha256":"61ee8ced041c5ad21430b60696d9048fa9c8a4bb3bf6a19d0da0023be64125bc"}}