{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:V67J6ZCP25KUKC6TP75HJALPHE","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":"a0fc332ab10bc3d23eb5051febe7197486431d0e701c7a8b3e6e1f9c5261b88e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mtrl-sci","submitted_at":"2026-07-06T08:07:22Z","title_canon_sha256":"6d71fa5fb234805f86d4f4c28d8db289b309090433586750d440260b023e1d2e"},"schema_version":"1.0","source":{"id":"2607.05470","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2607.05470","created_at":"2026-07-08T01:18:10Z"},{"alias_kind":"arxiv_version","alias_value":"2607.05470v1","created_at":"2026-07-08T01:18:10Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2607.05470","created_at":"2026-07-08T01:18:10Z"},{"alias_kind":"pith_short_12","alias_value":"V67J6ZCP25KU","created_at":"2026-07-08T01:18:10Z"},{"alias_kind":"pith_short_16","alias_value":"V67J6ZCP25KUKC6T","created_at":"2026-07-08T01:18:10Z"},{"alias_kind":"pith_short_8","alias_value":"V67J6ZCP","created_at":"2026-07-08T01:18:10Z"}],"graph_snapshots":[{"event_id":"sha256:404f1c658848e36c879a273507f25e65038fdac2a4985c344295b958104821ce","target":"graph","created_at":"2026-07-08T01:18:10Z","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/2607.05470/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Within the tight binding framework of graphenes {\\pi} electron nearest neighbors, the Tan Bo model parametrizes transition energies t(dr) based on bond lengths and angles via the Mobius transformation combined with exponential decay. Comparisons between isotropic , geometrically anisotropic , and Slater Koster scales reveal that B = 0 is equivalent to the SK scheme, with L(B) reaching its optimum at Bopt = 0. The Hermitian assembly maintains the Dirac cone at the K point.The Tan Bo geometry dependent transition model and non Hermitian TB assembly scheme developed in this study provide a reprod","authors_text":"Chuang Yao, Maolin Bo, Sunxin Fan, Xiang Chen, Yaorui Tan, Yunhu Zhu, Zhongkai Huang","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mtrl-sci","submitted_at":"2026-07-06T08:07:22Z","title":"Non Hermitian Tight Binding Bands in Graphene from Tan Bo Model: Strain Effects and Bernal Bilayer Extensions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2607.05470","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:af5142361add24c71edd68747ac83adf4b99af2b69ff5882ea0ff8ac05100967","target":"record","created_at":"2026-07-08T01:18:10Z","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":"a0fc332ab10bc3d23eb5051febe7197486431d0e701c7a8b3e6e1f9c5261b88e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mtrl-sci","submitted_at":"2026-07-06T08:07:22Z","title_canon_sha256":"6d71fa5fb234805f86d4f4c28d8db289b309090433586750d440260b023e1d2e"},"schema_version":"1.0","source":{"id":"2607.05470","kind":"arxiv","version":1}},"canonical_sha256":"afbe9f644fd755450bd37ffa74816f393f584bfa5d52954ea84b967bc6b44e34","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"afbe9f644fd755450bd37ffa74816f393f584bfa5d52954ea84b967bc6b44e34","first_computed_at":"2026-07-08T01:18:10.912574Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-08T01:18:10.912574Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"epmb8/cnRvgOQp7EA6vYNg9Hv97GWa3FbPF18hZJeH5L+IvKcEs3qEkS6I5i7mbCV2RJDuAGykNYMiBQGKB1Aw==","signature_status":"signed_v1","signed_at":"2026-07-08T01:18:10.913006Z","signed_message":"canonical_sha256_bytes"},"source_id":"2607.05470","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:af5142361add24c71edd68747ac83adf4b99af2b69ff5882ea0ff8ac05100967","sha256:404f1c658848e36c879a273507f25e65038fdac2a4985c344295b958104821ce"],"state_sha256":"dcf623ebae036fea71af95e0ce47b105102b6b95c7ada233bd4326f0f3a61d59"}