{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:ETMTIVVF4P32WPLWBR2DNKETA3","short_pith_number":"pith:ETMTIVVF","canonical_record":{"source":{"id":"1603.05986","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2016-03-18T20:24:55Z","cross_cats_sorted":[],"title_canon_sha256":"4330327cf8e2ccf912eec0254e46767e99e123347b6a70721e2d215f307b39dc","abstract_canon_sha256":"174af10ae077381e344204fcececf687688b61f1469c2fe695824cb9af80b769"},"schema_version":"1.0"},"canonical_sha256":"24d93456a5e3f7ab3d760c7436a89306ee183cbc4dfd4a68b8ef79a74a6b6458","source":{"kind":"arxiv","id":"1603.05986","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1603.05986","created_at":"2026-05-18T01:12:40Z"},{"alias_kind":"arxiv_version","alias_value":"1603.05986v1","created_at":"2026-05-18T01:12:40Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1603.05986","created_at":"2026-05-18T01:12:40Z"},{"alias_kind":"pith_short_12","alias_value":"ETMTIVVF4P32","created_at":"2026-05-18T12:30:15Z"},{"alias_kind":"pith_short_16","alias_value":"ETMTIVVF4P32WPLW","created_at":"2026-05-18T12:30:15Z"},{"alias_kind":"pith_short_8","alias_value":"ETMTIVVF","created_at":"2026-05-18T12:30:15Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:ETMTIVVF4P32WPLWBR2DNKETA3","target":"record","payload":{"canonical_record":{"source":{"id":"1603.05986","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2016-03-18T20:24:55Z","cross_cats_sorted":[],"title_canon_sha256":"4330327cf8e2ccf912eec0254e46767e99e123347b6a70721e2d215f307b39dc","abstract_canon_sha256":"174af10ae077381e344204fcececf687688b61f1469c2fe695824cb9af80b769"},"schema_version":"1.0"},"canonical_sha256":"24d93456a5e3f7ab3d760c7436a89306ee183cbc4dfd4a68b8ef79a74a6b6458","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:12:40.270431Z","signature_b64":"w9gqJyaflQj2q7sqPEuK8SRYR/+CP7J92jbQGyEjIoXvrpsdiYBJHMjceRizBzknAL40cQHFAiSO4XviO8CIAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"24d93456a5e3f7ab3d760c7436a89306ee183cbc4dfd4a68b8ef79a74a6b6458","last_reissued_at":"2026-05-18T01:12:40.270091Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:12:40.270091Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1603.05986","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":"2026-05-18T01:12:40Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"H3XQ8KRKIKFr4Su6NKQtR2aYR0bwYG/L69iackiVW94TQIlEzb0kvZExGvnOlmq1FTIxPhjyR1ouzdvDzcJZAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-21T02:06:21.448882Z"},"content_sha256":"217eae0371ea5e42a23fff8869f41faf50375bf5ed94afeb50743062ea1a43bf","schema_version":"1.0","event_id":"sha256:217eae0371ea5e42a23fff8869f41faf50375bf5ed94afeb50743062ea1a43bf"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:ETMTIVVF4P32WPLWBR2DNKETA3","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Green$'$s function approach to edge states in transition metal dichalcogenides","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.mes-hall","authors_text":"Geert Brocks, Mojtaba Farmanbar, Taher Amlaki","submitted_at":"2016-03-18T20:24:55Z","abstract_excerpt":"The semiconducting two-dimensional transition metal dichalcogenides MX$_{2}$ show an abundance of one-dimensional metallic edges and grain boundaries. Standard techniques for calculating edge states typically model nanoribbons, and require the use of supercells. In this paper we formulate a Green$'$s function technique for calculating edge states of (semi-)infinite two-dimensional systems with a single well-defined edge or grain boundary. We express Green$'$s functions in terms of Bloch matrices, constructed from the solutions of a quadratic eigenvalue equation. The technique can be applied to"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1603.05986","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":"2026-05-18T01:12:40Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"sEz474/3NesiNbMKBaIZlmsXtXcvYvMjr3SRIFZ8h1LOxubvQ5obUy1TB4ziq3Nc134vY/9wfn/+WBYUdXJjBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-21T02:06:21.449533Z"},"content_sha256":"a6681ce8771505e699118b15ceec3aa5d183311b8f01f4e304c30927bc01b8d1","schema_version":"1.0","event_id":"sha256:a6681ce8771505e699118b15ceec3aa5d183311b8f01f4e304c30927bc01b8d1"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/ETMTIVVF4P32WPLWBR2DNKETA3/bundle.json","state_url":"https://pith.science/pith/ETMTIVVF4P32WPLWBR2DNKETA3/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/ETMTIVVF4P32WPLWBR2DNKETA3/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":"2026-05-21T02:06:21Z","links":{"resolver":"https://pith.science/pith/ETMTIVVF4P32WPLWBR2DNKETA3","bundle":"https://pith.science/pith/ETMTIVVF4P32WPLWBR2DNKETA3/bundle.json","state":"https://pith.science/pith/ETMTIVVF4P32WPLWBR2DNKETA3/state.json","well_known_bundle":"https://pith.science/.well-known/pith/ETMTIVVF4P32WPLWBR2DNKETA3/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:ETMTIVVF4P32WPLWBR2DNKETA3","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":"174af10ae077381e344204fcececf687688b61f1469c2fe695824cb9af80b769","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2016-03-18T20:24:55Z","title_canon_sha256":"4330327cf8e2ccf912eec0254e46767e99e123347b6a70721e2d215f307b39dc"},"schema_version":"1.0","source":{"id":"1603.05986","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1603.05986","created_at":"2026-05-18T01:12:40Z"},{"alias_kind":"arxiv_version","alias_value":"1603.05986v1","created_at":"2026-05-18T01:12:40Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1603.05986","created_at":"2026-05-18T01:12:40Z"},{"alias_kind":"pith_short_12","alias_value":"ETMTIVVF4P32","created_at":"2026-05-18T12:30:15Z"},{"alias_kind":"pith_short_16","alias_value":"ETMTIVVF4P32WPLW","created_at":"2026-05-18T12:30:15Z"},{"alias_kind":"pith_short_8","alias_value":"ETMTIVVF","created_at":"2026-05-18T12:30:15Z"}],"graph_snapshots":[{"event_id":"sha256:a6681ce8771505e699118b15ceec3aa5d183311b8f01f4e304c30927bc01b8d1","target":"graph","created_at":"2026-05-18T01:12:40Z","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":"The semiconducting two-dimensional transition metal dichalcogenides MX$_{2}$ show an abundance of one-dimensional metallic edges and grain boundaries. Standard techniques for calculating edge states typically model nanoribbons, and require the use of supercells. In this paper we formulate a Green$'$s function technique for calculating edge states of (semi-)infinite two-dimensional systems with a single well-defined edge or grain boundary. We express Green$'$s functions in terms of Bloch matrices, constructed from the solutions of a quadratic eigenvalue equation. The technique can be applied to","authors_text":"Geert Brocks, Mojtaba Farmanbar, Taher Amlaki","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2016-03-18T20:24:55Z","title":"Green$'$s function approach to edge states in transition metal dichalcogenides"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1603.05986","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":"sha256:217eae0371ea5e42a23fff8869f41faf50375bf5ed94afeb50743062ea1a43bf","target":"record","created_at":"2026-05-18T01:12:40Z","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":"174af10ae077381e344204fcececf687688b61f1469c2fe695824cb9af80b769","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2016-03-18T20:24:55Z","title_canon_sha256":"4330327cf8e2ccf912eec0254e46767e99e123347b6a70721e2d215f307b39dc"},"schema_version":"1.0","source":{"id":"1603.05986","kind":"arxiv","version":1}},"canonical_sha256":"24d93456a5e3f7ab3d760c7436a89306ee183cbc4dfd4a68b8ef79a74a6b6458","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"24d93456a5e3f7ab3d760c7436a89306ee183cbc4dfd4a68b8ef79a74a6b6458","first_computed_at":"2026-05-18T01:12:40.270091Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:12:40.270091Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"w9gqJyaflQj2q7sqPEuK8SRYR/+CP7J92jbQGyEjIoXvrpsdiYBJHMjceRizBzknAL40cQHFAiSO4XviO8CIAg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:12:40.270431Z","signed_message":"canonical_sha256_bytes"},"source_id":"1603.05986","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:217eae0371ea5e42a23fff8869f41faf50375bf5ed94afeb50743062ea1a43bf","sha256:a6681ce8771505e699118b15ceec3aa5d183311b8f01f4e304c30927bc01b8d1"],"state_sha256":"165b119a8ffb7e3c4ef732e8e6f8208cb0194217188066b7fec654576f699c74"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"dbDN0EOTD9OsSBQe9bA9KwdxNqwJJjaY/WS+PeuQsN/e5Yl2Jef6wEDewa8nYc0arqGiWt0mVWz3qnCHyzKiDw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-21T02:06:21.453029Z","bundle_sha256":"f3bb46f8772f348addc9f185823a5ac0ef87e01f9ea36ff2a621934567c3b619"}}