{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:LBD77R5B63AGK7UNQIGH6Q4XWL","short_pith_number":"pith:LBD77R5B","canonical_record":{"source":{"id":"1509.01517","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2015-09-04T16:09:11Z","cross_cats_sorted":[],"title_canon_sha256":"a6fb1e94101a9dee050ba7cd4125c673257bdbc419927b6a4b0edc87a08a9923","abstract_canon_sha256":"c9dabb669c8d52f84bb43daf05a8e727f7fd369dafcfbfbd3c59d20afbb19f45"},"schema_version":"1.0"},"canonical_sha256":"5847ffc7a1f6c0657e8d820c7f4397b2f7c27d82b636afa305fc51e15230e752","source":{"kind":"arxiv","id":"1509.01517","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1509.01517","created_at":"2026-05-18T01:33:15Z"},{"alias_kind":"arxiv_version","alias_value":"1509.01517v2","created_at":"2026-05-18T01:33:15Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1509.01517","created_at":"2026-05-18T01:33:15Z"},{"alias_kind":"pith_short_12","alias_value":"LBD77R5B63AG","created_at":"2026-05-18T12:29:29Z"},{"alias_kind":"pith_short_16","alias_value":"LBD77R5B63AGK7UN","created_at":"2026-05-18T12:29:29Z"},{"alias_kind":"pith_short_8","alias_value":"LBD77R5B","created_at":"2026-05-18T12:29:29Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:LBD77R5B63AGK7UNQIGH6Q4XWL","target":"record","payload":{"canonical_record":{"source":{"id":"1509.01517","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2015-09-04T16:09:11Z","cross_cats_sorted":[],"title_canon_sha256":"a6fb1e94101a9dee050ba7cd4125c673257bdbc419927b6a4b0edc87a08a9923","abstract_canon_sha256":"c9dabb669c8d52f84bb43daf05a8e727f7fd369dafcfbfbd3c59d20afbb19f45"},"schema_version":"1.0"},"canonical_sha256":"5847ffc7a1f6c0657e8d820c7f4397b2f7c27d82b636afa305fc51e15230e752","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:33:15.103122Z","signature_b64":"ZGRD0qkDwIsJgqEz1Frzk6audf/Xc9GL00Ca/aI/cBeEyMiy+r1uBqvigAueXm72K3gjE3+h8OkHYQVpTH4QBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5847ffc7a1f6c0657e8d820c7f4397b2f7c27d82b636afa305fc51e15230e752","last_reissued_at":"2026-05-18T01:33:15.102551Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:33:15.102551Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1509.01517","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":"2026-05-18T01:33:15Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ttEel3BD4Zolrk15X6dYBokjEzN/C55dqjZHnbqWo2vcxg4EJ8NGfAyvykva0AGOmWUua5aULp6kEWsKqXXFDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T12:23:32.730639Z"},"content_sha256":"ed77234db64db5a01fabea92897cccf407093fcafd14e26c6f22bf312edcf49a","schema_version":"1.0","event_id":"sha256:ed77234db64db5a01fabea92897cccf407093fcafd14e26c6f22bf312edcf49a"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:LBD77R5B63AGK7UNQIGH6Q4XWL","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Modified Dirac Hamiltonian for Efficient Quantum Mechanical Simulations of Micron Sized Devices","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.mes-hall","authors_text":"Avik W. Ghosh, K. M. Masum Habib, Redwan N. Sajjad","submitted_at":"2015-09-04T16:09:11Z","abstract_excerpt":"Representing massless Dirac fermions on a spatial lattice poses a potential challenge known as the Fermion Doubling problem. Addition of a quadratic term to the Dirac Hamiltonian circumvents this problem. We show that the modified Hamiltonian with the additional term results in a very small Hamiltonian matrix when discretized on a real space square lattice. The resulting Hamiltonian matrix is considerably more efficient for numerical simulations without sacrificing on accuracy and is several orders of magnitude faster than the atomistic tight binding model. Using this Hamiltonian and the Non-E"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1509.01517","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":"2026-05-18T01:33:15Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"qBFEoCTxLD3F4PqRw2Hm4EHDuWGPzE0Bgofn4QbrY10zIYgVjmQgfAHAm/+Yvr6RdSDuq5MmuWMN1JxeIaPODA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T12:23:32.731228Z"},"content_sha256":"9a743c87f1ca62f1e0e9b6f653a77179d03df00d1b5494ce9611fa276afd3102","schema_version":"1.0","event_id":"sha256:9a743c87f1ca62f1e0e9b6f653a77179d03df00d1b5494ce9611fa276afd3102"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/LBD77R5B63AGK7UNQIGH6Q4XWL/bundle.json","state_url":"https://pith.science/pith/LBD77R5B63AGK7UNQIGH6Q4XWL/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/LBD77R5B63AGK7UNQIGH6Q4XWL/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":"2026-05-31T12:23:32Z","links":{"resolver":"https://pith.science/pith/LBD77R5B63AGK7UNQIGH6Q4XWL","bundle":"https://pith.science/pith/LBD77R5B63AGK7UNQIGH6Q4XWL/bundle.json","state":"https://pith.science/pith/LBD77R5B63AGK7UNQIGH6Q4XWL/state.json","well_known_bundle":"https://pith.science/.well-known/pith/LBD77R5B63AGK7UNQIGH6Q4XWL/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:LBD77R5B63AGK7UNQIGH6Q4XWL","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":"c9dabb669c8d52f84bb43daf05a8e727f7fd369dafcfbfbd3c59d20afbb19f45","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2015-09-04T16:09:11Z","title_canon_sha256":"a6fb1e94101a9dee050ba7cd4125c673257bdbc419927b6a4b0edc87a08a9923"},"schema_version":"1.0","source":{"id":"1509.01517","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1509.01517","created_at":"2026-05-18T01:33:15Z"},{"alias_kind":"arxiv_version","alias_value":"1509.01517v2","created_at":"2026-05-18T01:33:15Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1509.01517","created_at":"2026-05-18T01:33:15Z"},{"alias_kind":"pith_short_12","alias_value":"LBD77R5B63AG","created_at":"2026-05-18T12:29:29Z"},{"alias_kind":"pith_short_16","alias_value":"LBD77R5B63AGK7UN","created_at":"2026-05-18T12:29:29Z"},{"alias_kind":"pith_short_8","alias_value":"LBD77R5B","created_at":"2026-05-18T12:29:29Z"}],"graph_snapshots":[{"event_id":"sha256:9a743c87f1ca62f1e0e9b6f653a77179d03df00d1b5494ce9611fa276afd3102","target":"graph","created_at":"2026-05-18T01:33:15Z","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":"Representing massless Dirac fermions on a spatial lattice poses a potential challenge known as the Fermion Doubling problem. Addition of a quadratic term to the Dirac Hamiltonian circumvents this problem. We show that the modified Hamiltonian with the additional term results in a very small Hamiltonian matrix when discretized on a real space square lattice. The resulting Hamiltonian matrix is considerably more efficient for numerical simulations without sacrificing on accuracy and is several orders of magnitude faster than the atomistic tight binding model. Using this Hamiltonian and the Non-E","authors_text":"Avik W. Ghosh, K. M. Masum Habib, Redwan N. Sajjad","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2015-09-04T16:09:11Z","title":"Modified Dirac Hamiltonian for Efficient Quantum Mechanical Simulations of Micron Sized Devices"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1509.01517","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:ed77234db64db5a01fabea92897cccf407093fcafd14e26c6f22bf312edcf49a","target":"record","created_at":"2026-05-18T01:33:15Z","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":"c9dabb669c8d52f84bb43daf05a8e727f7fd369dafcfbfbd3c59d20afbb19f45","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2015-09-04T16:09:11Z","title_canon_sha256":"a6fb1e94101a9dee050ba7cd4125c673257bdbc419927b6a4b0edc87a08a9923"},"schema_version":"1.0","source":{"id":"1509.01517","kind":"arxiv","version":2}},"canonical_sha256":"5847ffc7a1f6c0657e8d820c7f4397b2f7c27d82b636afa305fc51e15230e752","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5847ffc7a1f6c0657e8d820c7f4397b2f7c27d82b636afa305fc51e15230e752","first_computed_at":"2026-05-18T01:33:15.102551Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:33:15.102551Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ZGRD0qkDwIsJgqEz1Frzk6audf/Xc9GL00Ca/aI/cBeEyMiy+r1uBqvigAueXm72K3gjE3+h8OkHYQVpTH4QBg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:33:15.103122Z","signed_message":"canonical_sha256_bytes"},"source_id":"1509.01517","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ed77234db64db5a01fabea92897cccf407093fcafd14e26c6f22bf312edcf49a","sha256:9a743c87f1ca62f1e0e9b6f653a77179d03df00d1b5494ce9611fa276afd3102"],"state_sha256":"fb11ceb5b793b49dcd7e27e60790fa6e987cba817d6457516822b6654cbcb49b"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"lyMQmaVPY7+WzDvIXGvTvm+GP0A1poMzbFYgedvVLg1omk6eT+Lt9kThsM5yg0UyEBHk/9WSrDwxos0FEvx8Bw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-31T12:23:32.734348Z","bundle_sha256":"bb888f37772102926d097e73463fa67a28c73396341b461c82e96c897077bcc9"}}