{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2023:I2F7OQC4JORC7OSYHJVALTP6GW","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":"810d5ac0951c24434b17794e63de92e939dc95a207d5f84d35f22b3c50cec525","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2023-09-25T06:49:19Z","title_canon_sha256":"86cd02339fb8c01b650b40d4165d072ff2a9954890737d44bcbad49851dd2006"},"schema_version":"1.0","source":{"id":"2309.13901","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2309.13901","created_at":"2026-07-05T06:53:58Z"},{"alias_kind":"arxiv_version","alias_value":"2309.13901v1","created_at":"2026-07-05T06:53:58Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2309.13901","created_at":"2026-07-05T06:53:58Z"},{"alias_kind":"pith_short_12","alias_value":"I2F7OQC4JORC","created_at":"2026-07-05T06:53:58Z"},{"alias_kind":"pith_short_16","alias_value":"I2F7OQC4JORC7OSY","created_at":"2026-07-05T06:53:58Z"},{"alias_kind":"pith_short_8","alias_value":"I2F7OQC4","created_at":"2026-07-05T06:53:58Z"}],"graph_snapshots":[{"event_id":"sha256:5f48c2eddad998b3bafd540cd67ae1531f434a78ac6f188294dbbc0db17e9696","target":"graph","created_at":"2026-07-05T06:53:58Z","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/2309.13901/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Electronic band structures underlie the physical properties of crystalline materials, their geometrical exploration renovates the conventional cognition and brings about novel applications. Inspired by geometry phases, we introduce a geometric amplitude named as the geometric density of states (GDOS) dictated by the differential curvature of the constant-energy contour. The GDOS determines the amplitude of the real-space Green's function making it attain the ultimate expression with transparent physics. The local responses of crystalline materials are usually formulated by the real-space Green","authors_text":"Ding-Fu Shao, Jia-Ji Zhu, Jin Yang, Kai Chang, Shu-Hui Zhang, Wen Yang","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2023-09-25T06:49:19Z","title":"Geometric density of states of electronic structures for local responses: Phase information from the amplitudes of STM measurement"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2309.13901","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":"sha256:42373e3942a5c4e7a6d1cb8b48bcaa87a802b39a1dc6d0afdf3d6016e438b72e","target":"record","created_at":"2026-07-05T06:53:58Z","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":"810d5ac0951c24434b17794e63de92e939dc95a207d5f84d35f22b3c50cec525","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2023-09-25T06:49:19Z","title_canon_sha256":"86cd02339fb8c01b650b40d4165d072ff2a9954890737d44bcbad49851dd2006"},"schema_version":"1.0","source":{"id":"2309.13901","kind":"arxiv","version":1}},"canonical_sha256":"468bf7405c4ba22fba583a6a05cdfe358f5b532c847d0820e5412b28f0e29e13","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"468bf7405c4ba22fba583a6a05cdfe358f5b532c847d0820e5412b28f0e29e13","first_computed_at":"2026-07-05T06:53:58.922165Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T06:53:58.922165Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"8mNciNdZZ0cqjlHPUab3yo9wKEUDVv0zbhAGPnlbIYbi7IOaCHZcMj531rb+YTRxttASwqAUFIko/dDCZzpjAQ==","signature_status":"signed_v1","signed_at":"2026-07-05T06:53:58.922573Z","signed_message":"canonical_sha256_bytes"},"source_id":"2309.13901","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:42373e3942a5c4e7a6d1cb8b48bcaa87a802b39a1dc6d0afdf3d6016e438b72e","sha256:5f48c2eddad998b3bafd540cd67ae1531f434a78ac6f188294dbbc0db17e9696"],"state_sha256":"ad0ce78752df0be404129fbaf39646f9d0d3692ef0cca935d301baf5fb815e5a"}