{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2019:UIB3LSPXKBHEFV64N2QW2WLNZQ","short_pith_number":"pith:UIB3LSPX","canonical_record":{"source":{"id":"1902.00982","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2019-02-03T22:38:10Z","cross_cats_sorted":[],"title_canon_sha256":"9c835f80a389b56adee00ad5109995800fb514948b7a3b900d258c3fdcb410ec","abstract_canon_sha256":"ab6a3e8c576e71d4574ed09985648a3f33b8f5df5399aaec14ea167c657ed864"},"schema_version":"1.0"},"canonical_sha256":"a203b5c9f7504e42d7dc6ea16d596dcc21edf808a1af3afcda1453df280212d0","source":{"kind":"arxiv","id":"1902.00982","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1902.00982","created_at":"2026-05-17T23:54:51Z"},{"alias_kind":"arxiv_version","alias_value":"1902.00982v1","created_at":"2026-05-17T23:54:51Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1902.00982","created_at":"2026-05-17T23:54:51Z"},{"alias_kind":"pith_short_12","alias_value":"UIB3LSPXKBHE","created_at":"2026-05-18T12:33:30Z"},{"alias_kind":"pith_short_16","alias_value":"UIB3LSPXKBHEFV64","created_at":"2026-05-18T12:33:30Z"},{"alias_kind":"pith_short_8","alias_value":"UIB3LSPX","created_at":"2026-05-18T12:33:30Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2019:UIB3LSPXKBHEFV64N2QW2WLNZQ","target":"record","payload":{"canonical_record":{"source":{"id":"1902.00982","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2019-02-03T22:38:10Z","cross_cats_sorted":[],"title_canon_sha256":"9c835f80a389b56adee00ad5109995800fb514948b7a3b900d258c3fdcb410ec","abstract_canon_sha256":"ab6a3e8c576e71d4574ed09985648a3f33b8f5df5399aaec14ea167c657ed864"},"schema_version":"1.0"},"canonical_sha256":"a203b5c9f7504e42d7dc6ea16d596dcc21edf808a1af3afcda1453df280212d0","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:54:51.700791Z","signature_b64":"w8T89zWonXek3Bl1W0G3c2CDf2lb848lGb/dsN9w8cH7GOXUmxHBZbwG2m7fdu7xaiVKeg3e26vcUJmWiTa6Bg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a203b5c9f7504e42d7dc6ea16d596dcc21edf808a1af3afcda1453df280212d0","last_reissued_at":"2026-05-17T23:54:51.700384Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:54:51.700384Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1902.00982","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":"2026-05-17T23:54:51Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"gbBEo+b7JYxQ1303oKOnb/NUSbpNLFHU8kPcEztBIFgL/jGqJ3+K/royOIKLxaimWXTrKyagam/f5BV/lwR+Ag==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-08T01:35:52.434060Z"},"content_sha256":"60979d81548b2538aa23179455ade195750c802884a1a4cc0743670da6e5161f","schema_version":"1.0","event_id":"sha256:60979d81548b2538aa23179455ade195750c802884a1a4cc0743670da6e5161f"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2019:UIB3LSPXKBHEFV64N2QW2WLNZQ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Multiband Effects in Equations of Motion of Observables Beyond the Semiclassical Approach","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.mes-hall","authors_text":"Carsten Timm, Lilia M. Woods, Troy Stedman","submitted_at":"2019-02-03T22:38:10Z","abstract_excerpt":"The equations of motion for the position and gauge invariant crystal momentum are considered for multiband wave packets of Bloch electrons. For a localized packet in a subset of bands well-separated from the rest of the band structure of the crystal, one can construct an effective electromagnetic Hamiltonian with respect to the center of the packet. We show that the equations of motion can be obtained via a projection operator procedure, which is derived from the adiabatic approximation within perturbation theory. These relations explicitly contain information from each band captured in the ex"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1902.00982","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":"2026-05-17T23:54:51Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"O9mFttfg0UAsaD9oZmWn9kA18awwR39u3YOtXvuabwR8qnRpijEiq70iD09ftxYmxKXkiJXsJAO/NXjYWQOUAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-08T01:35:52.434730Z"},"content_sha256":"e40da1e9d7504072ce8a45e7c1b010280fa55e9549accdd8b48fb975c1c2e607","schema_version":"1.0","event_id":"sha256:e40da1e9d7504072ce8a45e7c1b010280fa55e9549accdd8b48fb975c1c2e607"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/UIB3LSPXKBHEFV64N2QW2WLNZQ/bundle.json","state_url":"https://pith.science/pith/UIB3LSPXKBHEFV64N2QW2WLNZQ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/UIB3LSPXKBHEFV64N2QW2WLNZQ/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":"2026-06-08T01:35:52Z","links":{"resolver":"https://pith.science/pith/UIB3LSPXKBHEFV64N2QW2WLNZQ","bundle":"https://pith.science/pith/UIB3LSPXKBHEFV64N2QW2WLNZQ/bundle.json","state":"https://pith.science/pith/UIB3LSPXKBHEFV64N2QW2WLNZQ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/UIB3LSPXKBHEFV64N2QW2WLNZQ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:UIB3LSPXKBHEFV64N2QW2WLNZQ","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":"ab6a3e8c576e71d4574ed09985648a3f33b8f5df5399aaec14ea167c657ed864","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2019-02-03T22:38:10Z","title_canon_sha256":"9c835f80a389b56adee00ad5109995800fb514948b7a3b900d258c3fdcb410ec"},"schema_version":"1.0","source":{"id":"1902.00982","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1902.00982","created_at":"2026-05-17T23:54:51Z"},{"alias_kind":"arxiv_version","alias_value":"1902.00982v1","created_at":"2026-05-17T23:54:51Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1902.00982","created_at":"2026-05-17T23:54:51Z"},{"alias_kind":"pith_short_12","alias_value":"UIB3LSPXKBHE","created_at":"2026-05-18T12:33:30Z"},{"alias_kind":"pith_short_16","alias_value":"UIB3LSPXKBHEFV64","created_at":"2026-05-18T12:33:30Z"},{"alias_kind":"pith_short_8","alias_value":"UIB3LSPX","created_at":"2026-05-18T12:33:30Z"}],"graph_snapshots":[{"event_id":"sha256:e40da1e9d7504072ce8a45e7c1b010280fa55e9549accdd8b48fb975c1c2e607","target":"graph","created_at":"2026-05-17T23:54:51Z","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":"The equations of motion for the position and gauge invariant crystal momentum are considered for multiband wave packets of Bloch electrons. For a localized packet in a subset of bands well-separated from the rest of the band structure of the crystal, one can construct an effective electromagnetic Hamiltonian with respect to the center of the packet. We show that the equations of motion can be obtained via a projection operator procedure, which is derived from the adiabatic approximation within perturbation theory. These relations explicitly contain information from each band captured in the ex","authors_text":"Carsten Timm, Lilia M. Woods, Troy Stedman","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2019-02-03T22:38:10Z","title":"Multiband Effects in Equations of Motion of Observables Beyond the Semiclassical Approach"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1902.00982","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":"sha256:60979d81548b2538aa23179455ade195750c802884a1a4cc0743670da6e5161f","target":"record","created_at":"2026-05-17T23:54:51Z","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":"ab6a3e8c576e71d4574ed09985648a3f33b8f5df5399aaec14ea167c657ed864","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2019-02-03T22:38:10Z","title_canon_sha256":"9c835f80a389b56adee00ad5109995800fb514948b7a3b900d258c3fdcb410ec"},"schema_version":"1.0","source":{"id":"1902.00982","kind":"arxiv","version":1}},"canonical_sha256":"a203b5c9f7504e42d7dc6ea16d596dcc21edf808a1af3afcda1453df280212d0","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a203b5c9f7504e42d7dc6ea16d596dcc21edf808a1af3afcda1453df280212d0","first_computed_at":"2026-05-17T23:54:51.700384Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:54:51.700384Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"w8T89zWonXek3Bl1W0G3c2CDf2lb848lGb/dsN9w8cH7GOXUmxHBZbwG2m7fdu7xaiVKeg3e26vcUJmWiTa6Bg==","signature_status":"signed_v1","signed_at":"2026-05-17T23:54:51.700791Z","signed_message":"canonical_sha256_bytes"},"source_id":"1902.00982","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:60979d81548b2538aa23179455ade195750c802884a1a4cc0743670da6e5161f","sha256:e40da1e9d7504072ce8a45e7c1b010280fa55e9549accdd8b48fb975c1c2e607"],"state_sha256":"97a3bd9c08784b5d07657932c9c63b2fac8eb7be7833322bb77c3769e616d411"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"X96yCkojLqdE6PVrF3yj02CNp3leE8mhpfDpHfmzaNzm10+GmYBrC9bFNrnpqShigft/LNZRcjem0i3Yq2q5CQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-08T01:35:52.438277Z","bundle_sha256":"984359dca4167bd08de7b5ea98ff73bedc3d177d7cc5f0df0c3b040cd799beff"}}