{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:YR4PPMW2GPW6TX2ENSHP4DPFQE","short_pith_number":"pith:YR4PPMW2","canonical_record":{"source":{"id":"1309.6953","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2013-09-26T16:12:32Z","cross_cats_sorted":[],"title_canon_sha256":"f95ecdedbca5d6830db5d82712d9db66ea8361f0ded6cfb8ecefc6fe08571a70","abstract_canon_sha256":"c04d5cf76cf627e7dbaf3f82fb75801b72361b58e9fc3c081e4caed27873ddd8"},"schema_version":"1.0"},"canonical_sha256":"c478f7b2da33ede9df446c8efe0de58133d8b94e72157595e52c1379d9590712","source":{"kind":"arxiv","id":"1309.6953","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1309.6953","created_at":"2026-05-18T01:47:26Z"},{"alias_kind":"arxiv_version","alias_value":"1309.6953v1","created_at":"2026-05-18T01:47:26Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1309.6953","created_at":"2026-05-18T01:47:26Z"},{"alias_kind":"pith_short_12","alias_value":"YR4PPMW2GPW6","created_at":"2026-05-18T12:28:09Z"},{"alias_kind":"pith_short_16","alias_value":"YR4PPMW2GPW6TX2E","created_at":"2026-05-18T12:28:09Z"},{"alias_kind":"pith_short_8","alias_value":"YR4PPMW2","created_at":"2026-05-18T12:28:09Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:YR4PPMW2GPW6TX2ENSHP4DPFQE","target":"record","payload":{"canonical_record":{"source":{"id":"1309.6953","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2013-09-26T16:12:32Z","cross_cats_sorted":[],"title_canon_sha256":"f95ecdedbca5d6830db5d82712d9db66ea8361f0ded6cfb8ecefc6fe08571a70","abstract_canon_sha256":"c04d5cf76cf627e7dbaf3f82fb75801b72361b58e9fc3c081e4caed27873ddd8"},"schema_version":"1.0"},"canonical_sha256":"c478f7b2da33ede9df446c8efe0de58133d8b94e72157595e52c1379d9590712","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:47:26.134618Z","signature_b64":"QeBJv2Th28M4bH4DtaMkltNoNFxWkIcME+Yd3W+1lD4ajURa05r911uV3sQtBHfMBwkM26TKB0XlXxP4FJ13CA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c478f7b2da33ede9df446c8efe0de58133d8b94e72157595e52c1379d9590712","last_reissued_at":"2026-05-18T01:47:26.133903Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:47:26.133903Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1309.6953","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":"2026-05-18T01:47:26Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"cnc/QuedCg69HR2IXKQkPufVTSbE1UXt7HyX/yQ4zEJ9TJ9cl5Qhwnrx0Jz+7Dn1lpv0DlWNRQJJPh8la9UlBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T06:06:19.671202Z"},"content_sha256":"9713c6f30c6708e194abdbea0aace0557eb548819c9bb3e1b0d8b7d98d92a255","schema_version":"1.0","event_id":"sha256:9713c6f30c6708e194abdbea0aace0557eb548819c9bb3e1b0d8b7d98d92a255"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:YR4PPMW2GPW6TX2ENSHP4DPFQE","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Effects of periodic scattering potential on Landau quantization and ballistic transport of electrons in graphene","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.mes-hall","authors_text":"Andrii Iurov, Danhong Huang, Godfrey Gumbs, Liubov Zhemchuzhna, Paula Fekete","submitted_at":"2013-09-26T16:12:32Z","abstract_excerpt":"A two-dimensional periodic array of scatterers has been introduced to a single layer of graphene in the presence of an external magnetic field perpendicular to the graphene layer. The eigenvalue equation for such a system has been solved numerically to display the structure of split Landau subbands as functions of both wave number and magnetic flux. The effects of pseudo-spin coupling and Landau subbands mixing by a strong scattering potential have been demonstrated. Additionally, we investigated the square barrier tunneling problem when magnetic field is present, as well as demonstrate the cr"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1309.6953","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":"2026-05-18T01:47:26Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"kVuMNkYS6UQoHoeaE1AB5uaxpXfh6GSntCXcllIlygSU3TW7VRHjvhCMcmNe8odHcjBDU+N6yM6/r96IFD62BQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T06:06:19.671576Z"},"content_sha256":"130265cd9595fcc5d8f5a3c062bb24cda26ac025caa1e33d3707c2d4ac403bed","schema_version":"1.0","event_id":"sha256:130265cd9595fcc5d8f5a3c062bb24cda26ac025caa1e33d3707c2d4ac403bed"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/YR4PPMW2GPW6TX2ENSHP4DPFQE/bundle.json","state_url":"https://pith.science/pith/YR4PPMW2GPW6TX2ENSHP4DPFQE/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/YR4PPMW2GPW6TX2ENSHP4DPFQE/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":"2026-05-30T06:06:19Z","links":{"resolver":"https://pith.science/pith/YR4PPMW2GPW6TX2ENSHP4DPFQE","bundle":"https://pith.science/pith/YR4PPMW2GPW6TX2ENSHP4DPFQE/bundle.json","state":"https://pith.science/pith/YR4PPMW2GPW6TX2ENSHP4DPFQE/state.json","well_known_bundle":"https://pith.science/.well-known/pith/YR4PPMW2GPW6TX2ENSHP4DPFQE/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:YR4PPMW2GPW6TX2ENSHP4DPFQE","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":"c04d5cf76cf627e7dbaf3f82fb75801b72361b58e9fc3c081e4caed27873ddd8","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2013-09-26T16:12:32Z","title_canon_sha256":"f95ecdedbca5d6830db5d82712d9db66ea8361f0ded6cfb8ecefc6fe08571a70"},"schema_version":"1.0","source":{"id":"1309.6953","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1309.6953","created_at":"2026-05-18T01:47:26Z"},{"alias_kind":"arxiv_version","alias_value":"1309.6953v1","created_at":"2026-05-18T01:47:26Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1309.6953","created_at":"2026-05-18T01:47:26Z"},{"alias_kind":"pith_short_12","alias_value":"YR4PPMW2GPW6","created_at":"2026-05-18T12:28:09Z"},{"alias_kind":"pith_short_16","alias_value":"YR4PPMW2GPW6TX2E","created_at":"2026-05-18T12:28:09Z"},{"alias_kind":"pith_short_8","alias_value":"YR4PPMW2","created_at":"2026-05-18T12:28:09Z"}],"graph_snapshots":[{"event_id":"sha256:130265cd9595fcc5d8f5a3c062bb24cda26ac025caa1e33d3707c2d4ac403bed","target":"graph","created_at":"2026-05-18T01:47:26Z","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":"A two-dimensional periodic array of scatterers has been introduced to a single layer of graphene in the presence of an external magnetic field perpendicular to the graphene layer. The eigenvalue equation for such a system has been solved numerically to display the structure of split Landau subbands as functions of both wave number and magnetic flux. The effects of pseudo-spin coupling and Landau subbands mixing by a strong scattering potential have been demonstrated. Additionally, we investigated the square barrier tunneling problem when magnetic field is present, as well as demonstrate the cr","authors_text":"Andrii Iurov, Danhong Huang, Godfrey Gumbs, Liubov Zhemchuzhna, Paula Fekete","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2013-09-26T16:12:32Z","title":"Effects of periodic scattering potential on Landau quantization and ballistic transport of electrons in graphene"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1309.6953","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":"sha256:9713c6f30c6708e194abdbea0aace0557eb548819c9bb3e1b0d8b7d98d92a255","target":"record","created_at":"2026-05-18T01:47:26Z","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":"c04d5cf76cf627e7dbaf3f82fb75801b72361b58e9fc3c081e4caed27873ddd8","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2013-09-26T16:12:32Z","title_canon_sha256":"f95ecdedbca5d6830db5d82712d9db66ea8361f0ded6cfb8ecefc6fe08571a70"},"schema_version":"1.0","source":{"id":"1309.6953","kind":"arxiv","version":1}},"canonical_sha256":"c478f7b2da33ede9df446c8efe0de58133d8b94e72157595e52c1379d9590712","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c478f7b2da33ede9df446c8efe0de58133d8b94e72157595e52c1379d9590712","first_computed_at":"2026-05-18T01:47:26.133903Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:47:26.133903Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"QeBJv2Th28M4bH4DtaMkltNoNFxWkIcME+Yd3W+1lD4ajURa05r911uV3sQtBHfMBwkM26TKB0XlXxP4FJ13CA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:47:26.134618Z","signed_message":"canonical_sha256_bytes"},"source_id":"1309.6953","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9713c6f30c6708e194abdbea0aace0557eb548819c9bb3e1b0d8b7d98d92a255","sha256:130265cd9595fcc5d8f5a3c062bb24cda26ac025caa1e33d3707c2d4ac403bed"],"state_sha256":"e74c30e17a8c820fa210186ba8b3ab5c2b9d3c86957e424667291441d0b4841b"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"QQfWrD7vAdnjJbfjhcVKQVJkry03vswcS252+i2lrJ3fj4QL97EjrgofFRgy5iAlJTdKUbFWedAXdg8SY2bJBg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-30T06:06:19.673707Z","bundle_sha256":"3d48f1c6173f655186d568032a77799d9046d37d0dedd76d7672426470b4deb2"}}