{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:4Q4BMGZHVOP57DIJNRHOIF36VT","short_pith_number":"pith:4Q4BMGZH","canonical_record":{"source":{"id":"1708.01801","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2017-08-05T18:33:05Z","cross_cats_sorted":[],"title_canon_sha256":"5c39022abc2dd8fa15d5a69525dc8c3e558901719e4c1154f5cc10612eba73c9","abstract_canon_sha256":"3958c256b1df077876eb70fe2d16fec33c62feba98536fb379988da987bd7369"},"schema_version":"1.0"},"canonical_sha256":"e438161b27ab9fdf8d096c4ee4177eaccd832a0abc526673bd8c4636982f66fe","source":{"kind":"arxiv","id":"1708.01801","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1708.01801","created_at":"2026-05-18T00:32:39Z"},{"alias_kind":"arxiv_version","alias_value":"1708.01801v1","created_at":"2026-05-18T00:32:39Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1708.01801","created_at":"2026-05-18T00:32:39Z"},{"alias_kind":"pith_short_12","alias_value":"4Q4BMGZHVOP5","created_at":"2026-05-18T12:31:00Z"},{"alias_kind":"pith_short_16","alias_value":"4Q4BMGZHVOP57DIJ","created_at":"2026-05-18T12:31:00Z"},{"alias_kind":"pith_short_8","alias_value":"4Q4BMGZH","created_at":"2026-05-18T12:31:00Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:4Q4BMGZHVOP57DIJNRHOIF36VT","target":"record","payload":{"canonical_record":{"source":{"id":"1708.01801","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2017-08-05T18:33:05Z","cross_cats_sorted":[],"title_canon_sha256":"5c39022abc2dd8fa15d5a69525dc8c3e558901719e4c1154f5cc10612eba73c9","abstract_canon_sha256":"3958c256b1df077876eb70fe2d16fec33c62feba98536fb379988da987bd7369"},"schema_version":"1.0"},"canonical_sha256":"e438161b27ab9fdf8d096c4ee4177eaccd832a0abc526673bd8c4636982f66fe","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:32:39.503751Z","signature_b64":"qs0PvnFMbyIwG29GZxbHt105rpIy0oxUTS6MgEm1QAeMgq/y2Eym/juQniXL730ycGhx5B/xhben0OWdasFPDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e438161b27ab9fdf8d096c4ee4177eaccd832a0abc526673bd8c4636982f66fe","last_reissued_at":"2026-05-18T00:32:39.503071Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:32:39.503071Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1708.01801","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":"2026-05-18T00:32:39Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"lzkEQtVzc0I6TyTDQT/UFR4xZW5zwzoNk4tYf4mtOhV4k0iH1iPPTMf+n4ATRTcsjKzMBMGM2fPr6MoCOgI1Dw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-09T19:22:45.817975Z"},"content_sha256":"834a87b8e8faefd1d97cc9096cd478d5e173ed1f027316db3e87fe0d12ae3a1c","schema_version":"1.0","event_id":"sha256:834a87b8e8faefd1d97cc9096cd478d5e173ed1f027316db3e87fe0d12ae3a1c"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:4Q4BMGZHVOP57DIJNRHOIF36VT","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Multilayers black phosphorus: from tight-binding to continuum description","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.mes-hall","authors_text":"D. J. P. de Souza, D. R. da Costa, J. Milton Pereira Jr., L. V. de Castro, Tony Low","submitted_at":"2017-08-05T18:33:05Z","abstract_excerpt":"We investigate the electronic properties of $N$-layer black phosphorus by means of an analytical method based on a recently proposed tight-binding Hamiltonian involving $14$ hopping parameters. The method provides simple and accurate general expressions for the Hamiltonian of $N$-layer phosphorene, which are suitable for the study of electronic transport and optical properties of such systems, and the results show the features that emerge as the number of layers increases. In addition, we show that the $N$-layer problem can be translated into $N$ effective monolayer problems in the long wavele"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1708.01801","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":""},"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":"2026-05-18T00:32:39Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"DI17HmJtRlVDrF6SlhHcs1fGIW3C+z4+SD1SoiG0DUeiwkqTLQRF6pABKdm28KDKgVmdpdZzrv5pLi4rbDvhAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-09T19:22:45.818703Z"},"content_sha256":"91ea383d843eef358dfc881a0db82f608d4b4ac663d89effbeaef312e94a63e0","schema_version":"1.0","event_id":"sha256:91ea383d843eef358dfc881a0db82f608d4b4ac663d89effbeaef312e94a63e0"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/4Q4BMGZHVOP57DIJNRHOIF36VT/bundle.json","state_url":"https://pith.science/pith/4Q4BMGZHVOP57DIJNRHOIF36VT/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/4Q4BMGZHVOP57DIJNRHOIF36VT/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":"2026-06-09T19:22:45Z","links":{"resolver":"https://pith.science/pith/4Q4BMGZHVOP57DIJNRHOIF36VT","bundle":"https://pith.science/pith/4Q4BMGZHVOP57DIJNRHOIF36VT/bundle.json","state":"https://pith.science/pith/4Q4BMGZHVOP57DIJNRHOIF36VT/state.json","well_known_bundle":"https://pith.science/.well-known/pith/4Q4BMGZHVOP57DIJNRHOIF36VT/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:4Q4BMGZHVOP57DIJNRHOIF36VT","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":"3958c256b1df077876eb70fe2d16fec33c62feba98536fb379988da987bd7369","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2017-08-05T18:33:05Z","title_canon_sha256":"5c39022abc2dd8fa15d5a69525dc8c3e558901719e4c1154f5cc10612eba73c9"},"schema_version":"1.0","source":{"id":"1708.01801","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1708.01801","created_at":"2026-05-18T00:32:39Z"},{"alias_kind":"arxiv_version","alias_value":"1708.01801v1","created_at":"2026-05-18T00:32:39Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1708.01801","created_at":"2026-05-18T00:32:39Z"},{"alias_kind":"pith_short_12","alias_value":"4Q4BMGZHVOP5","created_at":"2026-05-18T12:31:00Z"},{"alias_kind":"pith_short_16","alias_value":"4Q4BMGZHVOP57DIJ","created_at":"2026-05-18T12:31:00Z"},{"alias_kind":"pith_short_8","alias_value":"4Q4BMGZH","created_at":"2026-05-18T12:31:00Z"}],"graph_snapshots":[{"event_id":"sha256:91ea383d843eef358dfc881a0db82f608d4b4ac663d89effbeaef312e94a63e0","target":"graph","created_at":"2026-05-18T00:32:39Z","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 investigate the electronic properties of $N$-layer black phosphorus by means of an analytical method based on a recently proposed tight-binding Hamiltonian involving $14$ hopping parameters. The method provides simple and accurate general expressions for the Hamiltonian of $N$-layer phosphorene, which are suitable for the study of electronic transport and optical properties of such systems, and the results show the features that emerge as the number of layers increases. In addition, we show that the $N$-layer problem can be translated into $N$ effective monolayer problems in the long wavele","authors_text":"D. J. P. de Souza, D. R. da Costa, J. Milton Pereira Jr., L. V. de Castro, Tony Low","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2017-08-05T18:33:05Z","title":"Multilayers black phosphorus: from tight-binding to continuum description"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1708.01801","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":"sha256:834a87b8e8faefd1d97cc9096cd478d5e173ed1f027316db3e87fe0d12ae3a1c","target":"record","created_at":"2026-05-18T00:32:39Z","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":"3958c256b1df077876eb70fe2d16fec33c62feba98536fb379988da987bd7369","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2017-08-05T18:33:05Z","title_canon_sha256":"5c39022abc2dd8fa15d5a69525dc8c3e558901719e4c1154f5cc10612eba73c9"},"schema_version":"1.0","source":{"id":"1708.01801","kind":"arxiv","version":1}},"canonical_sha256":"e438161b27ab9fdf8d096c4ee4177eaccd832a0abc526673bd8c4636982f66fe","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e438161b27ab9fdf8d096c4ee4177eaccd832a0abc526673bd8c4636982f66fe","first_computed_at":"2026-05-18T00:32:39.503071Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:32:39.503071Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"qs0PvnFMbyIwG29GZxbHt105rpIy0oxUTS6MgEm1QAeMgq/y2Eym/juQniXL730ycGhx5B/xhben0OWdasFPDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:32:39.503751Z","signed_message":"canonical_sha256_bytes"},"source_id":"1708.01801","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:834a87b8e8faefd1d97cc9096cd478d5e173ed1f027316db3e87fe0d12ae3a1c","sha256:91ea383d843eef358dfc881a0db82f608d4b4ac663d89effbeaef312e94a63e0"],"state_sha256":"f095692b4575278447306631a0ebb1b36638ece27cd5f48788d9d1179961801c"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"OxlJkC+WqiDEa53UeYSbsWn7G/Qr9nYgrf3A8R6qIxKonCKnNXGYMER7AjgIUe6FmUvISfozEpUMD7gQdK/YDw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-09T19:22:45.822628Z","bundle_sha256":"a30879f9e32dd84df7892f83b2a288f64cb8997291f8070ccd38a58207cd3888"}}