{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2020:TT4PRM4KPBZLOAU2353SLJBZKF","short_pith_number":"pith:TT4PRM4K","canonical_record":{"source":{"id":"2010.03959","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mtrl-sci","submitted_at":"2020-10-06T02:54:38Z","cross_cats_sorted":[],"title_canon_sha256":"66c37c52dd98b01bfe16e51495e2cd3bad24fa84be47ebb8bc0743e9191c94fe","abstract_canon_sha256":"742368e83cb015989e26a26925983105c0f2756b14e7ff6ff3552a5587cbda96"},"schema_version":"1.0"},"canonical_sha256":"9cf8f8b38a7872b7029adf7725a439516e2da267d1e55eb08df74edb8f9340b9","source":{"kind":"arxiv","id":"2010.03959","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2010.03959","created_at":"2026-07-05T01:41:25Z"},{"alias_kind":"arxiv_version","alias_value":"2010.03959v1","created_at":"2026-07-05T01:41:25Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2010.03959","created_at":"2026-07-05T01:41:25Z"},{"alias_kind":"pith_short_12","alias_value":"TT4PRM4KPBZL","created_at":"2026-07-05T01:41:25Z"},{"alias_kind":"pith_short_16","alias_value":"TT4PRM4KPBZLOAU2","created_at":"2026-07-05T01:41:25Z"},{"alias_kind":"pith_short_8","alias_value":"TT4PRM4K","created_at":"2026-07-05T01:41:25Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2020:TT4PRM4KPBZLOAU2353SLJBZKF","target":"record","payload":{"canonical_record":{"source":{"id":"2010.03959","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mtrl-sci","submitted_at":"2020-10-06T02:54:38Z","cross_cats_sorted":[],"title_canon_sha256":"66c37c52dd98b01bfe16e51495e2cd3bad24fa84be47ebb8bc0743e9191c94fe","abstract_canon_sha256":"742368e83cb015989e26a26925983105c0f2756b14e7ff6ff3552a5587cbda96"},"schema_version":"1.0"},"canonical_sha256":"9cf8f8b38a7872b7029adf7725a439516e2da267d1e55eb08df74edb8f9340b9","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T01:41:25.479539Z","signature_b64":"Aa4gvouLYyWcReTu2OgGgPCYWryiTN+w+eTbjA1xonIqE3B/z0F77BFWpEFAUAEboXdbh3N7z7dNUoPxolfIAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"9cf8f8b38a7872b7029adf7725a439516e2da267d1e55eb08df74edb8f9340b9","last_reissued_at":"2026-07-05T01:41:25.479132Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T01:41:25.479132Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2010.03959","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":"2026-07-05T01:41:25Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"mROE5/0dJMMx+D55sRNTJW4Hxx+S2C7lMsv11f+c1mhHcX4mO/QNWHELLghLVX2Fta3lLQ0q64PR68zRP65jDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-08T13:47:13.363471Z"},"content_sha256":"3946f5c6a3dd3310b14b0d92c18a70fdf0994da55b7c0524770428e05d1855cb","schema_version":"1.0","event_id":"sha256:3946f5c6a3dd3310b14b0d92c18a70fdf0994da55b7c0524770428e05d1855cb"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2020:TT4PRM4KPBZLOAU2353SLJBZKF","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Contracted Plane Wave satisfying periodic gauge","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.mtrl-sci","authors_text":"Takao Kotani","submitted_at":"2020-10-06T02:54:38Z","abstract_excerpt":"We introduce the contracted plane waves (CPWs), which satisfy the periodic gauge in the Brillouin-zone torus as in the case of usual Wannier functions. CPWs are very simply given as the sum of plane waves. We will be able to use CPWs instead of the Wannier functions for the interpolation of physical quantities given as the function of wave vectors in BZ. Furthermore, it will be easy to complement the set of Gaussian bases by CPWs."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2010.03959","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/2010.03959/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":"2026-07-05T01:41:25Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"DI67iGoeGM0iVmVS3aRmCzrLhDl+R0LzpVN02wGWi4M5/31v2qwS1/t8dm0JB0VnchT80SUSFRO563a9d3VjAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-08T13:47:13.364387Z"},"content_sha256":"83cf9a4a9053d551643a245a30ad3263cd50829f167fdf17c667da49188e5a99","schema_version":"1.0","event_id":"sha256:83cf9a4a9053d551643a245a30ad3263cd50829f167fdf17c667da49188e5a99"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/TT4PRM4KPBZLOAU2353SLJBZKF/bundle.json","state_url":"https://pith.science/pith/TT4PRM4KPBZLOAU2353SLJBZKF/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/TT4PRM4KPBZLOAU2353SLJBZKF/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":"2026-08-08T13:47:13Z","links":{"resolver":"https://pith.science/pith/TT4PRM4KPBZLOAU2353SLJBZKF","bundle":"https://pith.science/pith/TT4PRM4KPBZLOAU2353SLJBZKF/bundle.json","state":"https://pith.science/pith/TT4PRM4KPBZLOAU2353SLJBZKF/state.json","well_known_bundle":"https://pith.science/.well-known/pith/TT4PRM4KPBZLOAU2353SLJBZKF/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2020:TT4PRM4KPBZLOAU2353SLJBZKF","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":"742368e83cb015989e26a26925983105c0f2756b14e7ff6ff3552a5587cbda96","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mtrl-sci","submitted_at":"2020-10-06T02:54:38Z","title_canon_sha256":"66c37c52dd98b01bfe16e51495e2cd3bad24fa84be47ebb8bc0743e9191c94fe"},"schema_version":"1.0","source":{"id":"2010.03959","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2010.03959","created_at":"2026-07-05T01:41:25Z"},{"alias_kind":"arxiv_version","alias_value":"2010.03959v1","created_at":"2026-07-05T01:41:25Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2010.03959","created_at":"2026-07-05T01:41:25Z"},{"alias_kind":"pith_short_12","alias_value":"TT4PRM4KPBZL","created_at":"2026-07-05T01:41:25Z"},{"alias_kind":"pith_short_16","alias_value":"TT4PRM4KPBZLOAU2","created_at":"2026-07-05T01:41:25Z"},{"alias_kind":"pith_short_8","alias_value":"TT4PRM4K","created_at":"2026-07-05T01:41:25Z"}],"graph_snapshots":[{"event_id":"sha256:83cf9a4a9053d551643a245a30ad3263cd50829f167fdf17c667da49188e5a99","target":"graph","created_at":"2026-07-05T01:41:25Z","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/2010.03959/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We introduce the contracted plane waves (CPWs), which satisfy the periodic gauge in the Brillouin-zone torus as in the case of usual Wannier functions. CPWs are very simply given as the sum of plane waves. We will be able to use CPWs instead of the Wannier functions for the interpolation of physical quantities given as the function of wave vectors in BZ. Furthermore, it will be easy to complement the set of Gaussian bases by CPWs.","authors_text":"Takao Kotani","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mtrl-sci","submitted_at":"2020-10-06T02:54:38Z","title":"Contracted Plane Wave satisfying periodic gauge"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2010.03959","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":"sha256:3946f5c6a3dd3310b14b0d92c18a70fdf0994da55b7c0524770428e05d1855cb","target":"record","created_at":"2026-07-05T01:41:25Z","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":"742368e83cb015989e26a26925983105c0f2756b14e7ff6ff3552a5587cbda96","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mtrl-sci","submitted_at":"2020-10-06T02:54:38Z","title_canon_sha256":"66c37c52dd98b01bfe16e51495e2cd3bad24fa84be47ebb8bc0743e9191c94fe"},"schema_version":"1.0","source":{"id":"2010.03959","kind":"arxiv","version":1}},"canonical_sha256":"9cf8f8b38a7872b7029adf7725a439516e2da267d1e55eb08df74edb8f9340b9","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9cf8f8b38a7872b7029adf7725a439516e2da267d1e55eb08df74edb8f9340b9","first_computed_at":"2026-07-05T01:41:25.479132Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T01:41:25.479132Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Aa4gvouLYyWcReTu2OgGgPCYWryiTN+w+eTbjA1xonIqE3B/z0F77BFWpEFAUAEboXdbh3N7z7dNUoPxolfIAQ==","signature_status":"signed_v1","signed_at":"2026-07-05T01:41:25.479539Z","signed_message":"canonical_sha256_bytes"},"source_id":"2010.03959","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3946f5c6a3dd3310b14b0d92c18a70fdf0994da55b7c0524770428e05d1855cb","sha256:83cf9a4a9053d551643a245a30ad3263cd50829f167fdf17c667da49188e5a99"],"state_sha256":"d9d2392739706789c708ade9a501fd59afa224246fa28a051cfedaea820d4766"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ev1Gln7TfUvtjYaFTpkspN+lzGLSJiBxvPzevX7NWveVtsv2ybcDeiT/9D0x/T9Xxc7T0JAo/Z05fa5DFB6oAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-08T13:47:13.369577Z","bundle_sha256":"6a50103e18bbb3d07c21139383f85e0df9df200eb139973870d4833c9e1376be"}}