{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2000:WC4OKCF6ERS2TKNMVNNXSJVT2D","short_pith_number":"pith:WC4OKCF6","canonical_record":{"source":{"id":"cond-mat/0012092","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"cond-mat.mtrl-sci","submitted_at":"2000-12-06T20:03:35Z","cross_cats_sorted":[],"title_canon_sha256":"9f38e2713a729d61f56d802d11101704c2a5e1d93d85ffe6b9a119730beff37a","abstract_canon_sha256":"48fb1838f85c1ff48d28f9a5c763c6136f965ddf9ba79ddf72a54d81ad0276e2"},"schema_version":"1.0"},"canonical_sha256":"b0b8e508be2465a9a9acab5b7926b3d0f14dd8eed26c52dba2187180eed000f8","source":{"kind":"arxiv","id":"cond-mat/0012092","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"cond-mat/0012092","created_at":"2026-07-04T16:19:29Z"},{"alias_kind":"arxiv_version","alias_value":"cond-mat/0012092v1","created_at":"2026-07-04T16:19:29Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.cond-mat/0012092","created_at":"2026-07-04T16:19:29Z"},{"alias_kind":"pith_short_12","alias_value":"WC4OKCF6ERS2","created_at":"2026-07-04T16:19:29Z"},{"alias_kind":"pith_short_16","alias_value":"WC4OKCF6ERS2TKNM","created_at":"2026-07-04T16:19:29Z"},{"alias_kind":"pith_short_8","alias_value":"WC4OKCF6","created_at":"2026-07-04T16:19:29Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2000:WC4OKCF6ERS2TKNMVNNXSJVT2D","target":"record","payload":{"canonical_record":{"source":{"id":"cond-mat/0012092","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"cond-mat.mtrl-sci","submitted_at":"2000-12-06T20:03:35Z","cross_cats_sorted":[],"title_canon_sha256":"9f38e2713a729d61f56d802d11101704c2a5e1d93d85ffe6b9a119730beff37a","abstract_canon_sha256":"48fb1838f85c1ff48d28f9a5c763c6136f965ddf9ba79ddf72a54d81ad0276e2"},"schema_version":"1.0"},"canonical_sha256":"b0b8e508be2465a9a9acab5b7926b3d0f14dd8eed26c52dba2187180eed000f8","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T16:19:29.147447Z","signature_b64":"thQLN4I5RBqbP/7WCy2FfFJBvqmKU2247bMX3rgG9znOW4BgYAQP8TvS8P+7W5dgjgMgB22AOppi1+jOh3lNDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b0b8e508be2465a9a9acab5b7926b3d0f14dd8eed26c52dba2187180eed000f8","last_reissued_at":"2026-07-04T16:19:29.147030Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T16:19:29.147030Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"cond-mat/0012092","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":"2026-07-04T16:19:29Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"u8m0q/+mTbxqx2PfGnolD+6W9A2J1uZhJeU8wgVBJLwimLkZ8sVo1ci25XrIswrp7FFCOmINwEoNG6ivZpY2CA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-12T12:55:38.350623Z"},"content_sha256":"273be0cf4debb97cce0bf2473b0c3548acb4bcc6ed5e94d0a736fb149f4abf39","schema_version":"1.0","event_id":"sha256:273be0cf4debb97cce0bf2473b0c3548acb4bcc6ed5e94d0a736fb149f4abf39"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2000:WC4OKCF6ERS2TKNMVNNXSJVT2D","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Phonons and related properties of extended systems from density-functional perturbation theory","license":"","headline":"","cross_cats":[],"primary_cat":"cond-mat.mtrl-sci","authors_text":"A. Dal Corso, P. Giannozzi, S. Baroni, S. de Gironcoli","submitted_at":"2000-12-06T20:03:35Z","abstract_excerpt":"This article reviews the current status of lattice-dynamical calculations in crystals, using density-functional perturbation theory, with emphasis on the plane-wave pseudo-potential method. Several specialized topics are treated, including the implementation for metals, the calculation of the response to macroscopic electric fields and their relevance to long wave-length vibrations in polar materials, the response to strain deformations, and higher-order responses. The success of this methodology is demonstrated with a number of applications existing in the literature."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cond-mat/0012092","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/cond-mat/0012092/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":"2026-07-04T16:19:29Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"/m2d7eZ/KQVqRJ1Pzt4UnvL0nhpvXJZKtOrU82gB7Em5y3+YQc6ST+GHzAJ6RLyBs2mrWAZ0NIXhpAktANcKAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-12T12:55:38.351139Z"},"content_sha256":"5eaee4e11d6e55c3146598215545f0bba28dcf3fa085b59a940677e832761113","schema_version":"1.0","event_id":"sha256:5eaee4e11d6e55c3146598215545f0bba28dcf3fa085b59a940677e832761113"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/WC4OKCF6ERS2TKNMVNNXSJVT2D/bundle.json","state_url":"https://pith.science/pith/WC4OKCF6ERS2TKNMVNNXSJVT2D/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/WC4OKCF6ERS2TKNMVNNXSJVT2D/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":"2026-08-12T12:55:38Z","links":{"resolver":"https://pith.science/pith/WC4OKCF6ERS2TKNMVNNXSJVT2D","bundle":"https://pith.science/pith/WC4OKCF6ERS2TKNMVNNXSJVT2D/bundle.json","state":"https://pith.science/pith/WC4OKCF6ERS2TKNMVNNXSJVT2D/state.json","well_known_bundle":"https://pith.science/.well-known/pith/WC4OKCF6ERS2TKNMVNNXSJVT2D/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2000:WC4OKCF6ERS2TKNMVNNXSJVT2D","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":"48fb1838f85c1ff48d28f9a5c763c6136f965ddf9ba79ddf72a54d81ad0276e2","cross_cats_sorted":[],"license":"","primary_cat":"cond-mat.mtrl-sci","submitted_at":"2000-12-06T20:03:35Z","title_canon_sha256":"9f38e2713a729d61f56d802d11101704c2a5e1d93d85ffe6b9a119730beff37a"},"schema_version":"1.0","source":{"id":"cond-mat/0012092","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"cond-mat/0012092","created_at":"2026-07-04T16:19:29Z"},{"alias_kind":"arxiv_version","alias_value":"cond-mat/0012092v1","created_at":"2026-07-04T16:19:29Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.cond-mat/0012092","created_at":"2026-07-04T16:19:29Z"},{"alias_kind":"pith_short_12","alias_value":"WC4OKCF6ERS2","created_at":"2026-07-04T16:19:29Z"},{"alias_kind":"pith_short_16","alias_value":"WC4OKCF6ERS2TKNM","created_at":"2026-07-04T16:19:29Z"},{"alias_kind":"pith_short_8","alias_value":"WC4OKCF6","created_at":"2026-07-04T16:19:29Z"}],"graph_snapshots":[{"event_id":"sha256:5eaee4e11d6e55c3146598215545f0bba28dcf3fa085b59a940677e832761113","target":"graph","created_at":"2026-07-04T16:19:29Z","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/0012092/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"This article reviews the current status of lattice-dynamical calculations in crystals, using density-functional perturbation theory, with emphasis on the plane-wave pseudo-potential method. Several specialized topics are treated, including the implementation for metals, the calculation of the response to macroscopic electric fields and their relevance to long wave-length vibrations in polar materials, the response to strain deformations, and higher-order responses. The success of this methodology is demonstrated with a number of applications existing in the literature.","authors_text":"A. Dal Corso, P. Giannozzi, S. Baroni, S. de Gironcoli","cross_cats":[],"headline":"","license":"","primary_cat":"cond-mat.mtrl-sci","submitted_at":"2000-12-06T20:03:35Z","title":"Phonons and related properties of extended systems from density-functional perturbation theory"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cond-mat/0012092","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":"sha256:273be0cf4debb97cce0bf2473b0c3548acb4bcc6ed5e94d0a736fb149f4abf39","target":"record","created_at":"2026-07-04T16:19:29Z","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":"48fb1838f85c1ff48d28f9a5c763c6136f965ddf9ba79ddf72a54d81ad0276e2","cross_cats_sorted":[],"license":"","primary_cat":"cond-mat.mtrl-sci","submitted_at":"2000-12-06T20:03:35Z","title_canon_sha256":"9f38e2713a729d61f56d802d11101704c2a5e1d93d85ffe6b9a119730beff37a"},"schema_version":"1.0","source":{"id":"cond-mat/0012092","kind":"arxiv","version":1}},"canonical_sha256":"b0b8e508be2465a9a9acab5b7926b3d0f14dd8eed26c52dba2187180eed000f8","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b0b8e508be2465a9a9acab5b7926b3d0f14dd8eed26c52dba2187180eed000f8","first_computed_at":"2026-07-04T16:19:29.147030Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T16:19:29.147030Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"thQLN4I5RBqbP/7WCy2FfFJBvqmKU2247bMX3rgG9znOW4BgYAQP8TvS8P+7W5dgjgMgB22AOppi1+jOh3lNDg==","signature_status":"signed_v1","signed_at":"2026-07-04T16:19:29.147447Z","signed_message":"canonical_sha256_bytes"},"source_id":"cond-mat/0012092","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:273be0cf4debb97cce0bf2473b0c3548acb4bcc6ed5e94d0a736fb149f4abf39","sha256:5eaee4e11d6e55c3146598215545f0bba28dcf3fa085b59a940677e832761113"],"state_sha256":"09a49ce701c0d1ef4cad5331a2ff6f3b341a71b173966eb8d727ff017a9c468f"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"y1SzJUY6Os7o21kGy/CU+l/1/ojfGWh8J2XdpkiBY1ayJO9aqFsvmXq/JlMOdW+vwiPPpQVFvTrlZ/sPhsc9BA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-12T12:55:38.355593Z","bundle_sha256":"b977cbf5ea77560bed92f6dcc5b144014c8ee2b85699923ab1d72f6f928925bf"}}