{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2000:7DNLZUUH735J7YSGM2NGH4ONAH","short_pith_number":"pith:7DNLZUUH","canonical_record":{"source":{"id":"cond-mat/0001130","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"cond-mat","submitted_at":"2000-01-11T10:44:04Z","cross_cats_sorted":[],"title_canon_sha256":"5d1769f31e7502e27904b1ec07b750c3d803449c04b30f0df11021743cdb1da6","abstract_canon_sha256":"1e10ad53472dc89093ae27cf04f19352fac5319116d13db1360da10e5a4aca7b"},"schema_version":"1.0"},"canonical_sha256":"f8dabcd287fefa9fe246669a63f1cd01c816a58e50b483f2934ec98b68ed7577","source":{"kind":"arxiv","id":"cond-mat/0001130","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"cond-mat/0001130","created_at":"2026-07-04T16:17:52Z"},{"alias_kind":"arxiv_version","alias_value":"cond-mat/0001130v2","created_at":"2026-07-04T16:17:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.cond-mat/0001130","created_at":"2026-07-04T16:17:52Z"},{"alias_kind":"pith_short_12","alias_value":"7DNLZUUH735J","created_at":"2026-07-04T16:17:52Z"},{"alias_kind":"pith_short_16","alias_value":"7DNLZUUH735J7YSG","created_at":"2026-07-04T16:17:52Z"},{"alias_kind":"pith_short_8","alias_value":"7DNLZUUH","created_at":"2026-07-04T16:17:52Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2000:7DNLZUUH735J7YSGM2NGH4ONAH","target":"record","payload":{"canonical_record":{"source":{"id":"cond-mat/0001130","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"cond-mat","submitted_at":"2000-01-11T10:44:04Z","cross_cats_sorted":[],"title_canon_sha256":"5d1769f31e7502e27904b1ec07b750c3d803449c04b30f0df11021743cdb1da6","abstract_canon_sha256":"1e10ad53472dc89093ae27cf04f19352fac5319116d13db1360da10e5a4aca7b"},"schema_version":"1.0"},"canonical_sha256":"f8dabcd287fefa9fe246669a63f1cd01c816a58e50b483f2934ec98b68ed7577","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T16:17:52.718914Z","signature_b64":"Re5bZRvXXw358PY8xW1ye60vvr/27k80q/+OO94u7qKBlNXxy/cPLoY/kBhuT/8zCv3J/wbl20KgItGeModwBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f8dabcd287fefa9fe246669a63f1cd01c816a58e50b483f2934ec98b68ed7577","last_reissued_at":"2026-07-04T16:17:52.718569Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T16:17:52.718569Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"cond-mat/0001130","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":"2026-07-04T16:17:52Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"0T1M4YhGh//5cQHM7JVdFaVnn1/SUxzSe92vNtBalMn5kFS1phTib5qdXx3S/qfU1AsiL+9Dpkrs6bVwi4G5Ag==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-15T14:30:56.658755Z"},"content_sha256":"889a8bee36c6414340fe93e32f825ad31f96783295085f69082553e025ec0387","schema_version":"1.0","event_id":"sha256:889a8bee36c6414340fe93e32f825ad31f96783295085f69082553e025ec0387"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2000:7DNLZUUH735J7YSGM2NGH4ONAH","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Generalization of k.p theory for periodic perturbations","license":"","headline":"","cross_cats":[],"primary_cat":"cond-mat","authors_text":"O. Pankratov, R. Stubner, R. Winkler","submitted_at":"2000-01-11T10:44:04Z","abstract_excerpt":"We extend standard k.p theory to take into account periodic perturbations which are rapidly oscillating with a wavelength of a few lattice constants. Our general formalism allows us to explicitly consider the Bragg reflections due to the perturbation-induced periodicity. As an example we calculate the effective masses in the lowest two conduction bands of spontaneously ordered GaInP_2 as a function of the degree of ordering. Comparison of our results for the lowest conduction band to available experimental data and to first principle calculations shows good agreement."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cond-mat/0001130","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/cond-mat/0001130/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":"2026-07-04T16:17:52Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"SBqHOn4Ah0/QAwq4FLkaQJFFUpGnAamZxsgYncRbjindS9ECxGFacP18Z/b+Q8NesSLpqLyjXXPdXbc9tWeeAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-15T14:30:56.659343Z"},"content_sha256":"f4f2d2eb06648aa39364498f6637279bd66d94fcaf59ad37b3956595d30f3267","schema_version":"1.0","event_id":"sha256:f4f2d2eb06648aa39364498f6637279bd66d94fcaf59ad37b3956595d30f3267"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/7DNLZUUH735J7YSGM2NGH4ONAH/bundle.json","state_url":"https://pith.science/pith/7DNLZUUH735J7YSGM2NGH4ONAH/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/7DNLZUUH735J7YSGM2NGH4ONAH/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":"2026-08-15T14:30:56Z","links":{"resolver":"https://pith.science/pith/7DNLZUUH735J7YSGM2NGH4ONAH","bundle":"https://pith.science/pith/7DNLZUUH735J7YSGM2NGH4ONAH/bundle.json","state":"https://pith.science/pith/7DNLZUUH735J7YSGM2NGH4ONAH/state.json","well_known_bundle":"https://pith.science/.well-known/pith/7DNLZUUH735J7YSGM2NGH4ONAH/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2000:7DNLZUUH735J7YSGM2NGH4ONAH","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":"1e10ad53472dc89093ae27cf04f19352fac5319116d13db1360da10e5a4aca7b","cross_cats_sorted":[],"license":"","primary_cat":"cond-mat","submitted_at":"2000-01-11T10:44:04Z","title_canon_sha256":"5d1769f31e7502e27904b1ec07b750c3d803449c04b30f0df11021743cdb1da6"},"schema_version":"1.0","source":{"id":"cond-mat/0001130","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"cond-mat/0001130","created_at":"2026-07-04T16:17:52Z"},{"alias_kind":"arxiv_version","alias_value":"cond-mat/0001130v2","created_at":"2026-07-04T16:17:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.cond-mat/0001130","created_at":"2026-07-04T16:17:52Z"},{"alias_kind":"pith_short_12","alias_value":"7DNLZUUH735J","created_at":"2026-07-04T16:17:52Z"},{"alias_kind":"pith_short_16","alias_value":"7DNLZUUH735J7YSG","created_at":"2026-07-04T16:17:52Z"},{"alias_kind":"pith_short_8","alias_value":"7DNLZUUH","created_at":"2026-07-04T16:17:52Z"}],"graph_snapshots":[{"event_id":"sha256:f4f2d2eb06648aa39364498f6637279bd66d94fcaf59ad37b3956595d30f3267","target":"graph","created_at":"2026-07-04T16:17:52Z","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/cond-mat/0001130/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We extend standard k.p theory to take into account periodic perturbations which are rapidly oscillating with a wavelength of a few lattice constants. Our general formalism allows us to explicitly consider the Bragg reflections due to the perturbation-induced periodicity. As an example we calculate the effective masses in the lowest two conduction bands of spontaneously ordered GaInP_2 as a function of the degree of ordering. Comparison of our results for the lowest conduction band to available experimental data and to first principle calculations shows good agreement.","authors_text":"O. Pankratov, R. Stubner, R. Winkler","cross_cats":[],"headline":"","license":"","primary_cat":"cond-mat","submitted_at":"2000-01-11T10:44:04Z","title":"Generalization of k.p theory for periodic perturbations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cond-mat/0001130","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":"sha256:889a8bee36c6414340fe93e32f825ad31f96783295085f69082553e025ec0387","target":"record","created_at":"2026-07-04T16:17:52Z","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":"1e10ad53472dc89093ae27cf04f19352fac5319116d13db1360da10e5a4aca7b","cross_cats_sorted":[],"license":"","primary_cat":"cond-mat","submitted_at":"2000-01-11T10:44:04Z","title_canon_sha256":"5d1769f31e7502e27904b1ec07b750c3d803449c04b30f0df11021743cdb1da6"},"schema_version":"1.0","source":{"id":"cond-mat/0001130","kind":"arxiv","version":2}},"canonical_sha256":"f8dabcd287fefa9fe246669a63f1cd01c816a58e50b483f2934ec98b68ed7577","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f8dabcd287fefa9fe246669a63f1cd01c816a58e50b483f2934ec98b68ed7577","first_computed_at":"2026-07-04T16:17:52.718569Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T16:17:52.718569Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Re5bZRvXXw358PY8xW1ye60vvr/27k80q/+OO94u7qKBlNXxy/cPLoY/kBhuT/8zCv3J/wbl20KgItGeModwBQ==","signature_status":"signed_v1","signed_at":"2026-07-04T16:17:52.718914Z","signed_message":"canonical_sha256_bytes"},"source_id":"cond-mat/0001130","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:889a8bee36c6414340fe93e32f825ad31f96783295085f69082553e025ec0387","sha256:f4f2d2eb06648aa39364498f6637279bd66d94fcaf59ad37b3956595d30f3267"],"state_sha256":"86166e64d149704e2f64ba99dce21b4dd0e43da92683ac5f8cd2459888d15201"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"fDezpmHGmnv6V4482HvmPZgJYb3cG84r1Jasgp+92cbhWzx0orq9ujWhGSKQ8YEQc2GFX+ZYq2yM4egGVuhxDw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-15T14:30:56.663142Z","bundle_sha256":"af514f269f25f792a5e4379ad67c1f9da4cf6a1edc7373cbf08a2ca5bfe3a402"}}