{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2007:JQG5NO3WFT4QU6C4IACDDHGFU6","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":"8d3b057a83e08f7140cc15aa8b6d4b3fbb8c29f33b66cdeed505d9baba421ea9","cross_cats_sorted":["math.MP"],"license":"","primary_cat":"math-ph","submitted_at":"2007-09-21T18:23:42Z","title_canon_sha256":"960cb8ca46be0bc68a401e3be200a8b4ead34d4c83ccb5ad318642af9ad4b9c8"},"schema_version":"1.0","source":{"id":"0709.3498","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0709.3498","created_at":"2026-05-18T03:32:45Z"},{"alias_kind":"arxiv_version","alias_value":"0709.3498v1","created_at":"2026-05-18T03:32:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0709.3498","created_at":"2026-05-18T03:32:45Z"},{"alias_kind":"pith_short_12","alias_value":"JQG5NO3WFT4Q","created_at":"2026-05-18T12:25:55Z"},{"alias_kind":"pith_short_16","alias_value":"JQG5NO3WFT4QU6C4","created_at":"2026-05-18T12:25:55Z"},{"alias_kind":"pith_short_8","alias_value":"JQG5NO3W","created_at":"2026-05-18T12:25:55Z"}],"graph_snapshots":[{"event_id":"sha256:7fbcdf53f8922fc8653c0e06e1751b1c392e66457627b8d809ec9c2561bcdd0a","target":"graph","created_at":"2026-05-18T03:32:45Z","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"},"paper":{"abstract_excerpt":"We study the ac-conductivity in linear response theory for the Anderson tight-binding model. We define the electrical ac-conductivity and calculate the linear-response current at zero temperature for arbitrary Fermi energy. In particular, the Fermi energy may lie in a spectral region where extended states are believed to exist.","authors_text":"Abel Klein, Peter M\\\"uller","cross_cats":["math.MP"],"headline":"","license":"","primary_cat":"math-ph","submitted_at":"2007-09-21T18:23:42Z","title":"The conductivity measure for the Anderson model"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0709.3498","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":"sha256:8e03a311f52ec5896e6c62e9e365d2bb1efc5e86d67a86d1a67e261aac949c95","target":"record","created_at":"2026-05-18T03:32:45Z","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":"8d3b057a83e08f7140cc15aa8b6d4b3fbb8c29f33b66cdeed505d9baba421ea9","cross_cats_sorted":["math.MP"],"license":"","primary_cat":"math-ph","submitted_at":"2007-09-21T18:23:42Z","title_canon_sha256":"960cb8ca46be0bc68a401e3be200a8b4ead34d4c83ccb5ad318642af9ad4b9c8"},"schema_version":"1.0","source":{"id":"0709.3498","kind":"arxiv","version":1}},"canonical_sha256":"4c0dd6bb762cf90a785c4004319cc5a7a338e1b0f54f769782be289e8a86e0e3","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4c0dd6bb762cf90a785c4004319cc5a7a338e1b0f54f769782be289e8a86e0e3","first_computed_at":"2026-05-18T03:32:45.894293Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:32:45.894293Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"pxZ5KcojdzptKXq22zsFKuEK8fg8915lsbkKzP26Jitq+MmJoHPmjalO2lO8vBQiKNNSPjo3aG4mTjIJ+e3DBw==","signature_status":"signed_v1","signed_at":"2026-05-18T03:32:45.895152Z","signed_message":"canonical_sha256_bytes"},"source_id":"0709.3498","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8e03a311f52ec5896e6c62e9e365d2bb1efc5e86d67a86d1a67e261aac949c95","sha256:7fbcdf53f8922fc8653c0e06e1751b1c392e66457627b8d809ec9c2561bcdd0a"],"state_sha256":"381838f4945da173b2fabd4376406ba4af2e0dc3f83fee0b2cd49d7049e073e3"}