{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2012:UFXGF2ISCCV4H6MCT2SYF3G7SZ","short_pith_number":"pith:UFXGF2IS","schema_version":"1.0","canonical_sha256":"a16e62e91210abc3f9829ea582ecdf9647e23f8f4601752e2f40beea2d73f667","source":{"kind":"arxiv","id":"1211.3021","version":1},"attestation_state":"computed","paper":{"title":"Berry phases of quantum trajectories in semiconductors under strong terahertz fields","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.mes-hall","authors_text":"Fan Yang, Ren-Bao Liu","submitted_at":"2012-11-13T15:37:31Z","abstract_excerpt":"Quantum evolution of particles under strong fields can be essentially captured by a small number of quantum trajectories that satisfy the stationary phase condition in the Dirac-Feynmann path integrals. The quantum trajectories are the key concept to understand extreme nonlinear optical phenomena, such as high-order harmonic generation (HHG), above-threshold ionization (ATI), and high-order terahertz sideband generation (HSG). While HHG and ATI have been mostly studied in atoms and molecules, the HSG in semiconductors can have interesting effects due to possible nontrivial \"vacuum\" states of b"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1211.3021","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2012-11-13T15:37:31Z","cross_cats_sorted":[],"title_canon_sha256":"340a955a71fcb350e96c73da85442a28aa53b68ff3fef15a7802ca9ae5c6e8b2","abstract_canon_sha256":"2e6f0b1dae581c9aec97da3d64013de23ac692347057dd0fee914324fac8690c"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:02:07.504790Z","signature_b64":"b9WcHwoOU95ufArQMOjgfgB8HJ4GtJNEgyItNhvUR4qXA2TiEpk0+rX9VDqUQFsWq6u+XVL6idvEiZCiKVRfBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a16e62e91210abc3f9829ea582ecdf9647e23f8f4601752e2f40beea2d73f667","last_reissued_at":"2026-05-18T03:02:07.504055Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:02:07.504055Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Berry phases of quantum trajectories in semiconductors under strong terahertz fields","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.mes-hall","authors_text":"Fan Yang, Ren-Bao Liu","submitted_at":"2012-11-13T15:37:31Z","abstract_excerpt":"Quantum evolution of particles under strong fields can be essentially captured by a small number of quantum trajectories that satisfy the stationary phase condition in the Dirac-Feynmann path integrals. The quantum trajectories are the key concept to understand extreme nonlinear optical phenomena, such as high-order harmonic generation (HHG), above-threshold ionization (ATI), and high-order terahertz sideband generation (HSG). While HHG and ATI have been mostly studied in atoms and molecules, the HSG in semiconductors can have interesting effects due to possible nontrivial \"vacuum\" states of b"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1211.3021","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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1211.3021","created_at":"2026-05-18T03:02:07.504155+00:00"},{"alias_kind":"arxiv_version","alias_value":"1211.3021v1","created_at":"2026-05-18T03:02:07.504155+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1211.3021","created_at":"2026-05-18T03:02:07.504155+00:00"},{"alias_kind":"pith_short_12","alias_value":"UFXGF2ISCCV4","created_at":"2026-05-18T12:27:23.164592+00:00"},{"alias_kind":"pith_short_16","alias_value":"UFXGF2ISCCV4H6MC","created_at":"2026-05-18T12:27:23.164592+00:00"},{"alias_kind":"pith_short_8","alias_value":"UFXGF2IS","created_at":"2026-05-18T12:27:23.164592+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/UFXGF2ISCCV4H6MCT2SYF3G7SZ","json":"https://pith.science/pith/UFXGF2ISCCV4H6MCT2SYF3G7SZ.json","graph_json":"https://pith.science/api/pith-number/UFXGF2ISCCV4H6MCT2SYF3G7SZ/graph.json","events_json":"https://pith.science/api/pith-number/UFXGF2ISCCV4H6MCT2SYF3G7SZ/events.json","paper":"https://pith.science/paper/UFXGF2IS"},"agent_actions":{"view_html":"https://pith.science/pith/UFXGF2ISCCV4H6MCT2SYF3G7SZ","download_json":"https://pith.science/pith/UFXGF2ISCCV4H6MCT2SYF3G7SZ.json","view_paper":"https://pith.science/paper/UFXGF2IS","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1211.3021&json=true","fetch_graph":"https://pith.science/api/pith-number/UFXGF2ISCCV4H6MCT2SYF3G7SZ/graph.json","fetch_events":"https://pith.science/api/pith-number/UFXGF2ISCCV4H6MCT2SYF3G7SZ/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/UFXGF2ISCCV4H6MCT2SYF3G7SZ/action/timestamp_anchor","attest_storage":"https://pith.science/pith/UFXGF2ISCCV4H6MCT2SYF3G7SZ/action/storage_attestation","attest_author":"https://pith.science/pith/UFXGF2ISCCV4H6MCT2SYF3G7SZ/action/author_attestation","sign_citation":"https://pith.science/pith/UFXGF2ISCCV4H6MCT2SYF3G7SZ/action/citation_signature","submit_replication":"https://pith.science/pith/UFXGF2ISCCV4H6MCT2SYF3G7SZ/action/replication_record"}},"created_at":"2026-05-18T03:02:07.504155+00:00","updated_at":"2026-05-18T03:02:07.504155+00:00"}