{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2010:HYUD57N42SKHPPVW6NCKVVL74C","short_pith_number":"pith:HYUD57N4","canonical_record":{"source":{"id":"1002.3655","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2010-02-19T01:59:08Z","cross_cats_sorted":["cond-mat.mtrl-sci"],"title_canon_sha256":"a1fcca3cc8e53e83e3abb098ccef591b62c078ae929f2be334df15752073ba1e","abstract_canon_sha256":"f46ecedff3ef3355ffffb6d44dffdaf0eb34fbf1d07ea161eb3a31090a74324a"},"schema_version":"1.0"},"canonical_sha256":"3e283efdbcd49477beb6f344aad57fe0afacd96bf70f730d8ca133f22c3b6444","source":{"kind":"arxiv","id":"1002.3655","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1002.3655","created_at":"2026-05-18T02:08:59Z"},{"alias_kind":"arxiv_version","alias_value":"1002.3655v2","created_at":"2026-05-18T02:08:59Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1002.3655","created_at":"2026-05-18T02:08:59Z"},{"alias_kind":"pith_short_12","alias_value":"HYUD57N42SKH","created_at":"2026-05-18T12:26:07Z"},{"alias_kind":"pith_short_16","alias_value":"HYUD57N42SKHPPVW","created_at":"2026-05-18T12:26:07Z"},{"alias_kind":"pith_short_8","alias_value":"HYUD57N4","created_at":"2026-05-18T12:26:07Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2010:HYUD57N42SKHPPVW6NCKVVL74C","target":"record","payload":{"canonical_record":{"source":{"id":"1002.3655","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2010-02-19T01:59:08Z","cross_cats_sorted":["cond-mat.mtrl-sci"],"title_canon_sha256":"a1fcca3cc8e53e83e3abb098ccef591b62c078ae929f2be334df15752073ba1e","abstract_canon_sha256":"f46ecedff3ef3355ffffb6d44dffdaf0eb34fbf1d07ea161eb3a31090a74324a"},"schema_version":"1.0"},"canonical_sha256":"3e283efdbcd49477beb6f344aad57fe0afacd96bf70f730d8ca133f22c3b6444","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:08:59.203450Z","signature_b64":"dO20Gu4uscMjSQnwDSO3DvWYsbXFMwW8kcizLD7Za5sJwJOw6cr8QWU4aeCHANi07CollsgpvR1ePen9r8BPCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3e283efdbcd49477beb6f344aad57fe0afacd96bf70f730d8ca133f22c3b6444","last_reissued_at":"2026-05-18T02:08:59.202754Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:08:59.202754Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1002.3655","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:08:59Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"UIvmrx7jp1DHzLOBgRnB7OYjeUrrbnTYIqZrviWij1uGY0Khlcu1LjyqB4hUr5uzMrtSSHbgqJHon1lES3amBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T05:40:46.311016Z"},"content_sha256":"0c6757d23791904e23da615506d1c191f22fdd8b94d18da3824bd075b81c857e","schema_version":"1.0","event_id":"sha256:0c6757d23791904e23da615506d1c191f22fdd8b94d18da3824bd075b81c857e"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2010:HYUD57N42SKHPPVW6NCKVVL74C","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Dirac Spectrum in Piecewise Constant One-Dimensional Potentials","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.mtrl-sci"],"primary_cat":"cond-mat.mes-hall","authors_text":"D. P. Arovas, Eun-Ah Kim, H. A. Fertig, K. Ziegler, L. Brey","submitted_at":"2010-02-19T01:59:08Z","abstract_excerpt":"We study the electronic states of graphene in piecewise constant potentials using the continuum Dirac equation appropriate at low energies, and a transfer matrix method. For superlattice potentials, we identify patterns of induced Dirac points which are present throughout the band structure, and verify for the special case of a particle-hole symmetric potential their presence at zero energy. We also consider the cases of a single trench and a p-n junction embedded in neutral graphene, which are shown to support confined states. An analysis of conductance across these structures demonstrates th"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1002.3655","kind":"arxiv","version":2},"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":"2026-05-18T02:08:59Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"SdMmp8gCCTRbRiZiu3vemaXkQCknpt54GZ0Za9+2xTviDvaJIxHvntCeieTh/+eEZ2VmEYtxaboStu8biFSfAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T05:40:46.311689Z"},"content_sha256":"8d9f81bd8cd4a765c06b627ea7468d0a5703e2c1d946b26a97cd0b02068525d7","schema_version":"1.0","event_id":"sha256:8d9f81bd8cd4a765c06b627ea7468d0a5703e2c1d946b26a97cd0b02068525d7"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/HYUD57N42SKHPPVW6NCKVVL74C/bundle.json","state_url":"https://pith.science/pith/HYUD57N42SKHPPVW6NCKVVL74C/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/HYUD57N42SKHPPVW6NCKVVL74C/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":"2026-06-05T05:40:46Z","links":{"resolver":"https://pith.science/pith/HYUD57N42SKHPPVW6NCKVVL74C","bundle":"https://pith.science/pith/HYUD57N42SKHPPVW6NCKVVL74C/bundle.json","state":"https://pith.science/pith/HYUD57N42SKHPPVW6NCKVVL74C/state.json","well_known_bundle":"https://pith.science/.well-known/pith/HYUD57N42SKHPPVW6NCKVVL74C/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:HYUD57N42SKHPPVW6NCKVVL74C","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":"f46ecedff3ef3355ffffb6d44dffdaf0eb34fbf1d07ea161eb3a31090a74324a","cross_cats_sorted":["cond-mat.mtrl-sci"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2010-02-19T01:59:08Z","title_canon_sha256":"a1fcca3cc8e53e83e3abb098ccef591b62c078ae929f2be334df15752073ba1e"},"schema_version":"1.0","source":{"id":"1002.3655","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1002.3655","created_at":"2026-05-18T02:08:59Z"},{"alias_kind":"arxiv_version","alias_value":"1002.3655v2","created_at":"2026-05-18T02:08:59Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1002.3655","created_at":"2026-05-18T02:08:59Z"},{"alias_kind":"pith_short_12","alias_value":"HYUD57N42SKH","created_at":"2026-05-18T12:26:07Z"},{"alias_kind":"pith_short_16","alias_value":"HYUD57N42SKHPPVW","created_at":"2026-05-18T12:26:07Z"},{"alias_kind":"pith_short_8","alias_value":"HYUD57N4","created_at":"2026-05-18T12:26:07Z"}],"graph_snapshots":[{"event_id":"sha256:8d9f81bd8cd4a765c06b627ea7468d0a5703e2c1d946b26a97cd0b02068525d7","target":"graph","created_at":"2026-05-18T02:08:59Z","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 electronic states of graphene in piecewise constant potentials using the continuum Dirac equation appropriate at low energies, and a transfer matrix method. For superlattice potentials, we identify patterns of induced Dirac points which are present throughout the band structure, and verify for the special case of a particle-hole symmetric potential their presence at zero energy. We also consider the cases of a single trench and a p-n junction embedded in neutral graphene, which are shown to support confined states. An analysis of conductance across these structures demonstrates th","authors_text":"D. P. Arovas, Eun-Ah Kim, H. A. Fertig, K. Ziegler, L. Brey","cross_cats":["cond-mat.mtrl-sci"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2010-02-19T01:59:08Z","title":"Dirac Spectrum in Piecewise Constant One-Dimensional Potentials"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1002.3655","kind":"arxiv","version":2},"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":"sha256:0c6757d23791904e23da615506d1c191f22fdd8b94d18da3824bd075b81c857e","target":"record","created_at":"2026-05-18T02:08:59Z","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":"f46ecedff3ef3355ffffb6d44dffdaf0eb34fbf1d07ea161eb3a31090a74324a","cross_cats_sorted":["cond-mat.mtrl-sci"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2010-02-19T01:59:08Z","title_canon_sha256":"a1fcca3cc8e53e83e3abb098ccef591b62c078ae929f2be334df15752073ba1e"},"schema_version":"1.0","source":{"id":"1002.3655","kind":"arxiv","version":2}},"canonical_sha256":"3e283efdbcd49477beb6f344aad57fe0afacd96bf70f730d8ca133f22c3b6444","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3e283efdbcd49477beb6f344aad57fe0afacd96bf70f730d8ca133f22c3b6444","first_computed_at":"2026-05-18T02:08:59.202754Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:08:59.202754Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"dO20Gu4uscMjSQnwDSO3DvWYsbXFMwW8kcizLD7Za5sJwJOw6cr8QWU4aeCHANi07CollsgpvR1ePen9r8BPCw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:08:59.203450Z","signed_message":"canonical_sha256_bytes"},"source_id":"1002.3655","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0c6757d23791904e23da615506d1c191f22fdd8b94d18da3824bd075b81c857e","sha256:8d9f81bd8cd4a765c06b627ea7468d0a5703e2c1d946b26a97cd0b02068525d7"],"state_sha256":"edefec6eb9cb94c14e3894a115c5d4a6ec6f8743f9db00a4a963e34ba9cfda1b"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"VGUJ9Aa/kDaWQ0ow1BQAKO3WzkpDOnrl4FoIJvs3pJC0bCuFhC1ckcvU4BUD5bBpMPxD5Lv2TPkaKoK35TQiDw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-05T05:40:46.315463Z","bundle_sha256":"1c9f9ff6e8cb7ea6d8a5433fa6379328623e50b428302ab1cc1b2d61966ad6bf"}}