{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:XDGLAD6YMHBS7PN56WWIVPDR4X","short_pith_number":"pith:XDGLAD6Y","canonical_record":{"source":{"id":"1505.05808","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2015-05-21T17:55:04Z","cross_cats_sorted":["math-ph","math.MP","quant-ph"],"title_canon_sha256":"c3bb8bf0c54eb86e34b01b5474742d991f3477abea24cfb1eb362566d4d4afdb","abstract_canon_sha256":"7dc3ae0ec0ca79b57e52507bd5c964ca1ef73937554052dc66514f4e4694bc0c"},"schema_version":"1.0"},"canonical_sha256":"b8ccb00fd861c32fbdbdf5ac8abc71e5e35f266f37011511f39d11579358e252","source":{"kind":"arxiv","id":"1505.05808","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1505.05808","created_at":"2026-05-18T02:03:53Z"},{"alias_kind":"arxiv_version","alias_value":"1505.05808v1","created_at":"2026-05-18T02:03:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1505.05808","created_at":"2026-05-18T02:03:53Z"},{"alias_kind":"pith_short_12","alias_value":"XDGLAD6YMHBS","created_at":"2026-05-18T12:29:50Z"},{"alias_kind":"pith_short_16","alias_value":"XDGLAD6YMHBS7PN5","created_at":"2026-05-18T12:29:50Z"},{"alias_kind":"pith_short_8","alias_value":"XDGLAD6Y","created_at":"2026-05-18T12:29:50Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:XDGLAD6YMHBS7PN56WWIVPDR4X","target":"record","payload":{"canonical_record":{"source":{"id":"1505.05808","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2015-05-21T17:55:04Z","cross_cats_sorted":["math-ph","math.MP","quant-ph"],"title_canon_sha256":"c3bb8bf0c54eb86e34b01b5474742d991f3477abea24cfb1eb362566d4d4afdb","abstract_canon_sha256":"7dc3ae0ec0ca79b57e52507bd5c964ca1ef73937554052dc66514f4e4694bc0c"},"schema_version":"1.0"},"canonical_sha256":"b8ccb00fd861c32fbdbdf5ac8abc71e5e35f266f37011511f39d11579358e252","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:03:53.427488Z","signature_b64":"3Op8JLQjt5tCY5h9uV1ysV2f8AREyWx/V9vqy52/rTbjXY1M09FplmcpHmctZrBpMRUC4jPgm9qepHUbnbqOCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b8ccb00fd861c32fbdbdf5ac8abc71e5e35f266f37011511f39d11579358e252","last_reissued_at":"2026-05-18T02:03:53.426740Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:03:53.426740Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1505.05808","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":"2026-05-18T02:03:53Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"q1YnmMOsfg9+uba4oEFIi/NJhUPjrEIGeYP+/uxm0r2YRjkTBIGJdnQDnIBGFvMvo+lnJbFPSSEdTxPrtXxtAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-24T20:22:25.508309Z"},"content_sha256":"39b2ad8e5c6a0db6fa0dc4b747c9fe34d8a3a9cdd3e95de5180c0f1980dd0581","schema_version":"1.0","event_id":"sha256:39b2ad8e5c6a0db6fa0dc4b747c9fe34d8a3a9cdd3e95de5180c0f1980dd0581"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:XDGLAD6YMHBS7PN56WWIVPDR4X","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Double Barriers and Magnetic Field in Bilayer Graphene","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP","quant-ph"],"primary_cat":"cond-mat.mes-hall","authors_text":"Ahmed Jellal, Hocine Bahlouli, Ilham Redouani","submitted_at":"2015-05-21T17:55:04Z","abstract_excerpt":"We study the transmission probability in an AB-stacked bilayer graphene of Dirac fermions scattered by a double barrier structure in the presence of a magnetic field. We take into account the full four bands of the energy spectrum and use the boundary conditions to determine the transmission probability. Our numerical results show that for energies higher than the interlayer coupling, four ways for transmission probabilities are possible while for energies less than the height of the barrier, Dirac fermions exhibits transmission resonances and only one transmission channel is available. We sho"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1505.05808","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":"2026-05-18T02:03:53Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"RSdpvyt5eJ+u8pc1BhCXUf2DzaEQZYbW8oBgKIDsaQQutrU2wIkmyEXcZBrNGZBg9OE/CXAp5wSReKokcMMaCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-24T20:22:25.508977Z"},"content_sha256":"1fdb2494c9a9dc23eedc8995f0c1a4623ed237450e261b6ad80a4b47f0d99d62","schema_version":"1.0","event_id":"sha256:1fdb2494c9a9dc23eedc8995f0c1a4623ed237450e261b6ad80a4b47f0d99d62"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/XDGLAD6YMHBS7PN56WWIVPDR4X/bundle.json","state_url":"https://pith.science/pith/XDGLAD6YMHBS7PN56WWIVPDR4X/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/XDGLAD6YMHBS7PN56WWIVPDR4X/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":"2026-05-24T20:22:25Z","links":{"resolver":"https://pith.science/pith/XDGLAD6YMHBS7PN56WWIVPDR4X","bundle":"https://pith.science/pith/XDGLAD6YMHBS7PN56WWIVPDR4X/bundle.json","state":"https://pith.science/pith/XDGLAD6YMHBS7PN56WWIVPDR4X/state.json","well_known_bundle":"https://pith.science/.well-known/pith/XDGLAD6YMHBS7PN56WWIVPDR4X/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:XDGLAD6YMHBS7PN56WWIVPDR4X","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":"7dc3ae0ec0ca79b57e52507bd5c964ca1ef73937554052dc66514f4e4694bc0c","cross_cats_sorted":["math-ph","math.MP","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2015-05-21T17:55:04Z","title_canon_sha256":"c3bb8bf0c54eb86e34b01b5474742d991f3477abea24cfb1eb362566d4d4afdb"},"schema_version":"1.0","source":{"id":"1505.05808","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1505.05808","created_at":"2026-05-18T02:03:53Z"},{"alias_kind":"arxiv_version","alias_value":"1505.05808v1","created_at":"2026-05-18T02:03:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1505.05808","created_at":"2026-05-18T02:03:53Z"},{"alias_kind":"pith_short_12","alias_value":"XDGLAD6YMHBS","created_at":"2026-05-18T12:29:50Z"},{"alias_kind":"pith_short_16","alias_value":"XDGLAD6YMHBS7PN5","created_at":"2026-05-18T12:29:50Z"},{"alias_kind":"pith_short_8","alias_value":"XDGLAD6Y","created_at":"2026-05-18T12:29:50Z"}],"graph_snapshots":[{"event_id":"sha256:1fdb2494c9a9dc23eedc8995f0c1a4623ed237450e261b6ad80a4b47f0d99d62","target":"graph","created_at":"2026-05-18T02:03:53Z","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 study the transmission probability in an AB-stacked bilayer graphene of Dirac fermions scattered by a double barrier structure in the presence of a magnetic field. We take into account the full four bands of the energy spectrum and use the boundary conditions to determine the transmission probability. Our numerical results show that for energies higher than the interlayer coupling, four ways for transmission probabilities are possible while for energies less than the height of the barrier, Dirac fermions exhibits transmission resonances and only one transmission channel is available. We sho","authors_text":"Ahmed Jellal, Hocine Bahlouli, Ilham Redouani","cross_cats":["math-ph","math.MP","quant-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2015-05-21T17:55:04Z","title":"Double Barriers and Magnetic Field in Bilayer Graphene"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1505.05808","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":"sha256:39b2ad8e5c6a0db6fa0dc4b747c9fe34d8a3a9cdd3e95de5180c0f1980dd0581","target":"record","created_at":"2026-05-18T02:03:53Z","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":"7dc3ae0ec0ca79b57e52507bd5c964ca1ef73937554052dc66514f4e4694bc0c","cross_cats_sorted":["math-ph","math.MP","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2015-05-21T17:55:04Z","title_canon_sha256":"c3bb8bf0c54eb86e34b01b5474742d991f3477abea24cfb1eb362566d4d4afdb"},"schema_version":"1.0","source":{"id":"1505.05808","kind":"arxiv","version":1}},"canonical_sha256":"b8ccb00fd861c32fbdbdf5ac8abc71e5e35f266f37011511f39d11579358e252","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b8ccb00fd861c32fbdbdf5ac8abc71e5e35f266f37011511f39d11579358e252","first_computed_at":"2026-05-18T02:03:53.426740Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:03:53.426740Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"3Op8JLQjt5tCY5h9uV1ysV2f8AREyWx/V9vqy52/rTbjXY1M09FplmcpHmctZrBpMRUC4jPgm9qepHUbnbqOCg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:03:53.427488Z","signed_message":"canonical_sha256_bytes"},"source_id":"1505.05808","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:39b2ad8e5c6a0db6fa0dc4b747c9fe34d8a3a9cdd3e95de5180c0f1980dd0581","sha256:1fdb2494c9a9dc23eedc8995f0c1a4623ed237450e261b6ad80a4b47f0d99d62"],"state_sha256":"7e2ec7e0dad4d6ccfeba9b29e33e887a17d875f4afc5e49f5cc1f5b8162cab73"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"YoJP/yaGL47drCAKJwUKz0Knq2dD/PWtegoZXxI7osfoYpJvOI8u6+k74wT4J/tAsWxpJTR9Gq9wvShMkImzDQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-24T20:22:25.512329Z","bundle_sha256":"407741d155aa87ee24463ac9bc8f35f6f3ceaebd5bc85f9d6fca48bd1c486979"}}