{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:RMPPWENBYP6SA5BRRDUUXOMLPT","short_pith_number":"pith:RMPPWENB","canonical_record":{"source":{"id":"1606.03703","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2016-06-12T12:44:16Z","cross_cats_sorted":["cond-mat.quant-gas"],"title_canon_sha256":"2e2195a24d3e77a0197f29338dd99d9e4d13e9e3091eaddc1a34482b37b0fa52","abstract_canon_sha256":"09e07893abff2c4cf18992cdf5f596ed61dc4c229b84fcdf81242927cbbc7c4b"},"schema_version":"1.0"},"canonical_sha256":"8b1efb11a1c3fd20743188e94bb98b7cf1af263c9bffb1c12d03d4119e845859","source":{"kind":"arxiv","id":"1606.03703","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1606.03703","created_at":"2026-05-18T01:12:33Z"},{"alias_kind":"arxiv_version","alias_value":"1606.03703v1","created_at":"2026-05-18T01:12:33Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1606.03703","created_at":"2026-05-18T01:12:33Z"},{"alias_kind":"pith_short_12","alias_value":"RMPPWENBYP6S","created_at":"2026-05-18T12:30:41Z"},{"alias_kind":"pith_short_16","alias_value":"RMPPWENBYP6SA5BR","created_at":"2026-05-18T12:30:41Z"},{"alias_kind":"pith_short_8","alias_value":"RMPPWENB","created_at":"2026-05-18T12:30:41Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:RMPPWENBYP6SA5BRRDUUXOMLPT","target":"record","payload":{"canonical_record":{"source":{"id":"1606.03703","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2016-06-12T12:44:16Z","cross_cats_sorted":["cond-mat.quant-gas"],"title_canon_sha256":"2e2195a24d3e77a0197f29338dd99d9e4d13e9e3091eaddc1a34482b37b0fa52","abstract_canon_sha256":"09e07893abff2c4cf18992cdf5f596ed61dc4c229b84fcdf81242927cbbc7c4b"},"schema_version":"1.0"},"canonical_sha256":"8b1efb11a1c3fd20743188e94bb98b7cf1af263c9bffb1c12d03d4119e845859","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:12:33.266501Z","signature_b64":"tISgJNKjk91MNu1ranv+Mz/sCl6xtFr0iciFkEgHwjpQnaqc4HczV2q62xi6EOoXlMyB672aIFUl/aJREqU5Cg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8b1efb11a1c3fd20743188e94bb98b7cf1af263c9bffb1c12d03d4119e845859","last_reissued_at":"2026-05-18T01:12:33.265869Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:12:33.265869Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1606.03703","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":"2026-05-18T01:12:33Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"DEMd1hOl1JZ0r2/lY8+LC/yd4UJuPvjuvyJ/r3OeFmQ4matyh3wPc2o8GPdC2t10pV7CBBFW0MnLYhkrE+9YBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T23:22:44.529850Z"},"content_sha256":"4aa591819bf5f396fafd0f547e3750b18e7733f0dae68dd99e2889f0c5650d12","schema_version":"1.0","event_id":"sha256:4aa591819bf5f396fafd0f547e3750b18e7733f0dae68dd99e2889f0c5650d12"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:RMPPWENBYP6SA5BRRDUUXOMLPT","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Fractional lattice charge transport","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.quant-gas"],"primary_cat":"cond-mat.dis-nn","authors_text":"Ramaz Khomeriki, Sergej Flach","submitted_at":"2016-06-12T12:44:16Z","abstract_excerpt":"We consider the dynamics of noninteracting electrons on a square lattice in the presence of a magnetic flux {\\alpha} and a dc electric field E oriented along the lattice diagonal. In general, the adiabatic dynamics of an electron will be characterized by Bloch oscillations in the electrical field direction and dispersive ballistic transport in the perpendicular direction. For rational values of {\\alpha} and a corresponding discrete set of values of E({\\alpha}) vanishing gaps in the spectrum induce a fractionalization of the charge in the perpendicular direction - while left movers are still pe"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1606.03703","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":"2026-05-18T01:12:33Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"PXpRQqOcjpewkAHprPDdE3Q410BcRKFO4868WXWlSQCAoFdZ2dj6+t+2d0l6qncNnvngI1LoRGdPpyVjrUw6Dg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T23:22:44.530413Z"},"content_sha256":"966e3bf68e626de2d121b80c25d7b379a0c1710de251d52db20a52db8b73b7b1","schema_version":"1.0","event_id":"sha256:966e3bf68e626de2d121b80c25d7b379a0c1710de251d52db20a52db8b73b7b1"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/RMPPWENBYP6SA5BRRDUUXOMLPT/bundle.json","state_url":"https://pith.science/pith/RMPPWENBYP6SA5BRRDUUXOMLPT/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/RMPPWENBYP6SA5BRRDUUXOMLPT/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":"2026-05-27T23:22:44Z","links":{"resolver":"https://pith.science/pith/RMPPWENBYP6SA5BRRDUUXOMLPT","bundle":"https://pith.science/pith/RMPPWENBYP6SA5BRRDUUXOMLPT/bundle.json","state":"https://pith.science/pith/RMPPWENBYP6SA5BRRDUUXOMLPT/state.json","well_known_bundle":"https://pith.science/.well-known/pith/RMPPWENBYP6SA5BRRDUUXOMLPT/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:RMPPWENBYP6SA5BRRDUUXOMLPT","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":"09e07893abff2c4cf18992cdf5f596ed61dc4c229b84fcdf81242927cbbc7c4b","cross_cats_sorted":["cond-mat.quant-gas"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2016-06-12T12:44:16Z","title_canon_sha256":"2e2195a24d3e77a0197f29338dd99d9e4d13e9e3091eaddc1a34482b37b0fa52"},"schema_version":"1.0","source":{"id":"1606.03703","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1606.03703","created_at":"2026-05-18T01:12:33Z"},{"alias_kind":"arxiv_version","alias_value":"1606.03703v1","created_at":"2026-05-18T01:12:33Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1606.03703","created_at":"2026-05-18T01:12:33Z"},{"alias_kind":"pith_short_12","alias_value":"RMPPWENBYP6S","created_at":"2026-05-18T12:30:41Z"},{"alias_kind":"pith_short_16","alias_value":"RMPPWENBYP6SA5BR","created_at":"2026-05-18T12:30:41Z"},{"alias_kind":"pith_short_8","alias_value":"RMPPWENB","created_at":"2026-05-18T12:30:41Z"}],"graph_snapshots":[{"event_id":"sha256:966e3bf68e626de2d121b80c25d7b379a0c1710de251d52db20a52db8b73b7b1","target":"graph","created_at":"2026-05-18T01:12:33Z","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 consider the dynamics of noninteracting electrons on a square lattice in the presence of a magnetic flux {\\alpha} and a dc electric field E oriented along the lattice diagonal. In general, the adiabatic dynamics of an electron will be characterized by Bloch oscillations in the electrical field direction and dispersive ballistic transport in the perpendicular direction. For rational values of {\\alpha} and a corresponding discrete set of values of E({\\alpha}) vanishing gaps in the spectrum induce a fractionalization of the charge in the perpendicular direction - while left movers are still pe","authors_text":"Ramaz Khomeriki, Sergej Flach","cross_cats":["cond-mat.quant-gas"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2016-06-12T12:44:16Z","title":"Fractional lattice charge transport"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1606.03703","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":"sha256:4aa591819bf5f396fafd0f547e3750b18e7733f0dae68dd99e2889f0c5650d12","target":"record","created_at":"2026-05-18T01:12:33Z","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":"09e07893abff2c4cf18992cdf5f596ed61dc4c229b84fcdf81242927cbbc7c4b","cross_cats_sorted":["cond-mat.quant-gas"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2016-06-12T12:44:16Z","title_canon_sha256":"2e2195a24d3e77a0197f29338dd99d9e4d13e9e3091eaddc1a34482b37b0fa52"},"schema_version":"1.0","source":{"id":"1606.03703","kind":"arxiv","version":1}},"canonical_sha256":"8b1efb11a1c3fd20743188e94bb98b7cf1af263c9bffb1c12d03d4119e845859","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8b1efb11a1c3fd20743188e94bb98b7cf1af263c9bffb1c12d03d4119e845859","first_computed_at":"2026-05-18T01:12:33.265869Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:12:33.265869Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"tISgJNKjk91MNu1ranv+Mz/sCl6xtFr0iciFkEgHwjpQnaqc4HczV2q62xi6EOoXlMyB672aIFUl/aJREqU5Cg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:12:33.266501Z","signed_message":"canonical_sha256_bytes"},"source_id":"1606.03703","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4aa591819bf5f396fafd0f547e3750b18e7733f0dae68dd99e2889f0c5650d12","sha256:966e3bf68e626de2d121b80c25d7b379a0c1710de251d52db20a52db8b73b7b1"],"state_sha256":"bf8dcf0dfffa150eceff6306891191264d2d889af88a0631f471449e9f034c6d"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"I7pnMyP0D2EJ2QbYOdcDX5qIguC6AO/2YS5xcgXrROlIq817FOf6F5dmh6tixdI06u7VwCGOwVG/VLrfglhGAA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-27T23:22:44.534006Z","bundle_sha256":"f247e8f82291cf9fc69ebc658ae04894a68a05dc93f72a1256d697234ac7de50"}}