{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:QSWASEKDEQJDBVZSIXQZRPICL5","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":"f34cc8f8a50e4ea896e8df89727e60f4a453164bc190fb29b1982e89dbee6cd9","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cond-mat.mtrl-sci","submitted_at":"2026-07-18T21:45:14Z","title_canon_sha256":"9147362785f46680848130930d2f02c620d32507b5a8bd3f180a780715205da6"},"schema_version":"1.0","source":{"id":"2607.16974","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2607.16974","created_at":"2026-07-21T01:21:08Z"},{"alias_kind":"arxiv_version","alias_value":"2607.16974v1","created_at":"2026-07-21T01:21:08Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2607.16974","created_at":"2026-07-21T01:21:08Z"},{"alias_kind":"pith_short_12","alias_value":"QSWASEKDEQJD","created_at":"2026-07-21T01:21:08Z"},{"alias_kind":"pith_short_16","alias_value":"QSWASEKDEQJDBVZS","created_at":"2026-07-21T01:21:08Z"},{"alias_kind":"pith_short_8","alias_value":"QSWASEKD","created_at":"2026-07-21T01:21:08Z"}],"graph_snapshots":[{"event_id":"sha256:533b198616c74266cbb5a32c7607235581d8c3465912efc5a9fde255530b0f51","target":"graph","created_at":"2026-07-21T01:21:08Z","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/2607.16974/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The Baldereschi point of a crystal is a wavevector in the Brillouin zone at which every smooth periodic function of wavevector lies close to its mean value. Although originally introduced in the context of one-electron methods, mean-value points are ideal for explicitly correlated many-electron methods such as quantum Monte Carlo simulations, which can only use a single Bloch wavevector in the Brillouin zone of a simulation supercell. We have therefore evaluated and tabulated the Baldereschi mean-value points of all fourteen three-dimensional Bravais lattices.","authors_text":"N. D. Drummond","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cond-mat.mtrl-sci","submitted_at":"2026-07-18T21:45:14Z","title":"Baldereschi mean value points for three-dimensional Bravais lattices"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2607.16974","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:d5c76cb90cc85267a8f284825a9a08c91d3091971c6209b273442550b7ecfe53","target":"record","created_at":"2026-07-21T01:21:08Z","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":"f34cc8f8a50e4ea896e8df89727e60f4a453164bc190fb29b1982e89dbee6cd9","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cond-mat.mtrl-sci","submitted_at":"2026-07-18T21:45:14Z","title_canon_sha256":"9147362785f46680848130930d2f02c620d32507b5a8bd3f180a780715205da6"},"schema_version":"1.0","source":{"id":"2607.16974","kind":"arxiv","version":1}},"canonical_sha256":"84ac091143241230d73245e198bd025f66a40feb1ffb3c87236ec83c2a72f3f0","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"84ac091143241230d73245e198bd025f66a40feb1ffb3c87236ec83c2a72f3f0","first_computed_at":"2026-07-21T01:21:08.829263Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-21T01:21:08.829263Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"EzG4IzX8yixrra3uOEvGyAghu3ecKz7qUnDy0OmaSVBIlaTxf3tMbG3nyk8EIRnXraT/gmwMsQ8gizwy8mzABg==","signature_status":"signed_v1","signed_at":"2026-07-21T01:21:08.830085Z","signed_message":"canonical_sha256_bytes"},"source_id":"2607.16974","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d5c76cb90cc85267a8f284825a9a08c91d3091971c6209b273442550b7ecfe53","sha256:533b198616c74266cbb5a32c7607235581d8c3465912efc5a9fde255530b0f51"],"state_sha256":"5eec42cdd5941a1469d4e6a9614d9b582dd012f2c93f790bf793eea31e6ad754"}