{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:JKMQCCFKW4P4JGIEGT2QIXSHXN","short_pith_number":"pith:JKMQCCFK","canonical_record":{"source":{"id":"1202.3863","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-sa/3.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2012-02-17T10:12:31Z","cross_cats_sorted":[],"title_canon_sha256":"8f6e3ba0f71727bb33a81dbb88bc147c418681c0ad25f4b5d07530934b2df650","abstract_canon_sha256":"1707d107d5dfb0701d61ec25c968765602938d8337cdb8abf5b3ed48bd4eceef"},"schema_version":"1.0"},"canonical_sha256":"4a990108aab71fc4990434f5045e47bb6702114b7637137cfda8f3baf951626b","source":{"kind":"arxiv","id":"1202.3863","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1202.3863","created_at":"2026-05-18T03:49:58Z"},{"alias_kind":"arxiv_version","alias_value":"1202.3863v1","created_at":"2026-05-18T03:49:58Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1202.3863","created_at":"2026-05-18T03:49:58Z"},{"alias_kind":"pith_short_12","alias_value":"JKMQCCFKW4P4","created_at":"2026-05-18T12:27:11Z"},{"alias_kind":"pith_short_16","alias_value":"JKMQCCFKW4P4JGIE","created_at":"2026-05-18T12:27:11Z"},{"alias_kind":"pith_short_8","alias_value":"JKMQCCFK","created_at":"2026-05-18T12:27:11Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:JKMQCCFKW4P4JGIEGT2QIXSHXN","target":"record","payload":{"canonical_record":{"source":{"id":"1202.3863","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-sa/3.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2012-02-17T10:12:31Z","cross_cats_sorted":[],"title_canon_sha256":"8f6e3ba0f71727bb33a81dbb88bc147c418681c0ad25f4b5d07530934b2df650","abstract_canon_sha256":"1707d107d5dfb0701d61ec25c968765602938d8337cdb8abf5b3ed48bd4eceef"},"schema_version":"1.0"},"canonical_sha256":"4a990108aab71fc4990434f5045e47bb6702114b7637137cfda8f3baf951626b","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:49:58.199462Z","signature_b64":"B/yEFaqw3LRoBfQu+RV6R8BG/sH4SnGEY8l81aSbG2k9ahXwf7IF/sMxQcQBLmff83GZQ5obbVs5bzDluLa3DQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4a990108aab71fc4990434f5045e47bb6702114b7637137cfda8f3baf951626b","last_reissued_at":"2026-05-18T03:49:58.198716Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:49:58.198716Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1202.3863","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":"2026-05-18T03:49:58Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ySJb7Sti3JlLW5r6+W4kP8nMjOGGMRNCnfXo1Kwtu+EC8/A6UD2UqJ8JfEwxNuvpGoH5Uz/raJZg5NDEb9CDCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-29T00:46:38.439893Z"},"content_sha256":"e17553a7a3ab4724fb324316bddcd536e70e930d5457444179e671e178e3115d","schema_version":"1.0","event_id":"sha256:e17553a7a3ab4724fb324316bddcd536e70e930d5457444179e671e178e3115d"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:JKMQCCFKW4P4JGIEGT2QIXSHXN","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Continuum Theory of Edge States of Topological Insulators: Variational Principle and Boundary Conditions","license":"http://creativecommons.org/licenses/by-nc-sa/3.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.mes-hall","authors_text":"Amal Medhi, Vijay B. Shenoy","submitted_at":"2012-02-17T10:12:31Z","abstract_excerpt":"We develop a continuum theory to model low energy excitations of a generic four-band time reversal invariant electronic system with boundaries. We propose a variational energy functional for the wavefunctions which allows us derive natural boundary conditions valid for such systems. Our formulation is particularly suited to develop a continuum theory of the protected edge/surface excitations of topological insulators both in two and three dimensions. By a detailed comparison of our analytical formulation with tight binding calculations of ribbons of topological insulators modeled by the Bernev"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1202.3863","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":"2026-05-18T03:49:58Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"kIlyPH+iktCYs7e5EQaLqvw3vJc7djujlzVGIDBQiNxjoN35gfowwQclmWco5Kf3ygvMjLE/lWLruU1GzOcHCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-29T00:46:38.440235Z"},"content_sha256":"b2d58d5f8a1bf42fecdcf5978c79676e73ec3df3d7f52fa25d46a61a250e3007","schema_version":"1.0","event_id":"sha256:b2d58d5f8a1bf42fecdcf5978c79676e73ec3df3d7f52fa25d46a61a250e3007"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/JKMQCCFKW4P4JGIEGT2QIXSHXN/bundle.json","state_url":"https://pith.science/pith/JKMQCCFKW4P4JGIEGT2QIXSHXN/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/JKMQCCFKW4P4JGIEGT2QIXSHXN/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":"2026-06-29T00:46:38Z","links":{"resolver":"https://pith.science/pith/JKMQCCFKW4P4JGIEGT2QIXSHXN","bundle":"https://pith.science/pith/JKMQCCFKW4P4JGIEGT2QIXSHXN/bundle.json","state":"https://pith.science/pith/JKMQCCFKW4P4JGIEGT2QIXSHXN/state.json","well_known_bundle":"https://pith.science/.well-known/pith/JKMQCCFKW4P4JGIEGT2QIXSHXN/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:JKMQCCFKW4P4JGIEGT2QIXSHXN","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":"1707d107d5dfb0701d61ec25c968765602938d8337cdb8abf5b3ed48bd4eceef","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by-nc-sa/3.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2012-02-17T10:12:31Z","title_canon_sha256":"8f6e3ba0f71727bb33a81dbb88bc147c418681c0ad25f4b5d07530934b2df650"},"schema_version":"1.0","source":{"id":"1202.3863","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1202.3863","created_at":"2026-05-18T03:49:58Z"},{"alias_kind":"arxiv_version","alias_value":"1202.3863v1","created_at":"2026-05-18T03:49:58Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1202.3863","created_at":"2026-05-18T03:49:58Z"},{"alias_kind":"pith_short_12","alias_value":"JKMQCCFKW4P4","created_at":"2026-05-18T12:27:11Z"},{"alias_kind":"pith_short_16","alias_value":"JKMQCCFKW4P4JGIE","created_at":"2026-05-18T12:27:11Z"},{"alias_kind":"pith_short_8","alias_value":"JKMQCCFK","created_at":"2026-05-18T12:27:11Z"}],"graph_snapshots":[{"event_id":"sha256:b2d58d5f8a1bf42fecdcf5978c79676e73ec3df3d7f52fa25d46a61a250e3007","target":"graph","created_at":"2026-05-18T03:49:58Z","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"},"paper":{"abstract_excerpt":"We develop a continuum theory to model low energy excitations of a generic four-band time reversal invariant electronic system with boundaries. We propose a variational energy functional for the wavefunctions which allows us derive natural boundary conditions valid for such systems. Our formulation is particularly suited to develop a continuum theory of the protected edge/surface excitations of topological insulators both in two and three dimensions. By a detailed comparison of our analytical formulation with tight binding calculations of ribbons of topological insulators modeled by the Bernev","authors_text":"Amal Medhi, Vijay B. Shenoy","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by-nc-sa/3.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2012-02-17T10:12:31Z","title":"Continuum Theory of Edge States of Topological Insulators: Variational Principle and Boundary Conditions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1202.3863","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:e17553a7a3ab4724fb324316bddcd536e70e930d5457444179e671e178e3115d","target":"record","created_at":"2026-05-18T03:49:58Z","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":"1707d107d5dfb0701d61ec25c968765602938d8337cdb8abf5b3ed48bd4eceef","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by-nc-sa/3.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2012-02-17T10:12:31Z","title_canon_sha256":"8f6e3ba0f71727bb33a81dbb88bc147c418681c0ad25f4b5d07530934b2df650"},"schema_version":"1.0","source":{"id":"1202.3863","kind":"arxiv","version":1}},"canonical_sha256":"4a990108aab71fc4990434f5045e47bb6702114b7637137cfda8f3baf951626b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4a990108aab71fc4990434f5045e47bb6702114b7637137cfda8f3baf951626b","first_computed_at":"2026-05-18T03:49:58.198716Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:49:58.198716Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"B/yEFaqw3LRoBfQu+RV6R8BG/sH4SnGEY8l81aSbG2k9ahXwf7IF/sMxQcQBLmff83GZQ5obbVs5bzDluLa3DQ==","signature_status":"signed_v1","signed_at":"2026-05-18T03:49:58.199462Z","signed_message":"canonical_sha256_bytes"},"source_id":"1202.3863","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e17553a7a3ab4724fb324316bddcd536e70e930d5457444179e671e178e3115d","sha256:b2d58d5f8a1bf42fecdcf5978c79676e73ec3df3d7f52fa25d46a61a250e3007"],"state_sha256":"b065bb435ed3498d29616c81575770cfcd9c87b841f42005c06a51461522bb62"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"AmwVITu53/hzKpuR/Yzpxc3sTeqIK6jynpn2aKI+mZioWnqhGuxNa6eubzUvtID/AlTk9H6z5HIGuPgVb28QBQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-29T00:46:38.442124Z","bundle_sha256":"0b690e5a95d1092461df240ac62fa7a57a5ca909714d0b1d7cebe5e337a08f93"}}