{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2009:RHLDMRYSXBPOJYWH2HHLUJDBLZ","short_pith_number":"pith:RHLDMRYS","schema_version":"1.0","canonical_sha256":"89d6364712b85ee4e2c7d1ceba24615e5d417cec9503e8336b77ff218a192f5e","source":{"kind":"arxiv","id":"0910.1881","version":1},"attestation_state":"computed","paper":{"title":"The Electron Propagator in External Electromagnetic Fields in Lower Dimensions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.mes-hall","hep-ph","quant-ph"],"primary_cat":"hep-th","authors_text":"Alfredo Raya, Angel Sanchez, Edward Reyes, Gabriela Murguia","submitted_at":"2009-10-10T00:24:21Z","abstract_excerpt":"We study the electron propagator in quantum electrodynamics in lower dimensions. In the case of free electrons, it is well known that the propagator in momentum space takes the simple form $S_F(p)=1/(\\gamma\\cdot p-m)$. In the presence of external electromagnetic fields, electron asymptotic states are no longer plane-waves, and hence the propagator in the basis of momentum eigenstates has a more intricate form. Nevertheless, in the basis of the eigenfunctions of the operator $(\\gamma\\cdot \\Pi)^2$, where $\\Pi_\\mu$ is the canonical momentum operator, it acquires the free form $S_F(p)=1/(\\gamma\\cd"},"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":"0910.1881","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2009-10-10T00:24:21Z","cross_cats_sorted":["cond-mat.mes-hall","hep-ph","quant-ph"],"title_canon_sha256":"d2052030c7775317cab3e7afd282bcfd5c63afc17a89742a73c2b945f338daa1","abstract_canon_sha256":"e3cb23ffcc5515fd9f9bbfc19d8001611ceef2c7d582fb2f7b7b479d8c9b2f82"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:34:19.353299Z","signature_b64":"hiY8mJty4kN8wKaozh2hGIuoAu5M9Az3764n5fNTmr+xh2aEdaCrausQSKFGTJWhToKEcDSYgpLHN2ihlcvtDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"89d6364712b85ee4e2c7d1ceba24615e5d417cec9503e8336b77ff218a192f5e","last_reissued_at":"2026-05-18T02:34:19.352690Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:34:19.352690Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"The Electron Propagator in External Electromagnetic Fields in Lower Dimensions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.mes-hall","hep-ph","quant-ph"],"primary_cat":"hep-th","authors_text":"Alfredo Raya, Angel Sanchez, Edward Reyes, Gabriela Murguia","submitted_at":"2009-10-10T00:24:21Z","abstract_excerpt":"We study the electron propagator in quantum electrodynamics in lower dimensions. In the case of free electrons, it is well known that the propagator in momentum space takes the simple form $S_F(p)=1/(\\gamma\\cdot p-m)$. In the presence of external electromagnetic fields, electron asymptotic states are no longer plane-waves, and hence the propagator in the basis of momentum eigenstates has a more intricate form. Nevertheless, in the basis of the eigenfunctions of the operator $(\\gamma\\cdot \\Pi)^2$, where $\\Pi_\\mu$ is the canonical momentum operator, it acquires the free form $S_F(p)=1/(\\gamma\\cd"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0910.1881","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":"0910.1881","created_at":"2026-05-18T02:34:19.352778+00:00"},{"alias_kind":"arxiv_version","alias_value":"0910.1881v1","created_at":"2026-05-18T02:34:19.352778+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0910.1881","created_at":"2026-05-18T02:34:19.352778+00:00"},{"alias_kind":"pith_short_12","alias_value":"RHLDMRYSXBPO","created_at":"2026-05-18T12:26:01.383474+00:00"},{"alias_kind":"pith_short_16","alias_value":"RHLDMRYSXBPOJYWH","created_at":"2026-05-18T12:26:01.383474+00:00"},{"alias_kind":"pith_short_8","alias_value":"RHLDMRYS","created_at":"2026-05-18T12:26:01.383474+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/RHLDMRYSXBPOJYWH2HHLUJDBLZ","json":"https://pith.science/pith/RHLDMRYSXBPOJYWH2HHLUJDBLZ.json","graph_json":"https://pith.science/api/pith-number/RHLDMRYSXBPOJYWH2HHLUJDBLZ/graph.json","events_json":"https://pith.science/api/pith-number/RHLDMRYSXBPOJYWH2HHLUJDBLZ/events.json","paper":"https://pith.science/paper/RHLDMRYS"},"agent_actions":{"view_html":"https://pith.science/pith/RHLDMRYSXBPOJYWH2HHLUJDBLZ","download_json":"https://pith.science/pith/RHLDMRYSXBPOJYWH2HHLUJDBLZ.json","view_paper":"https://pith.science/paper/RHLDMRYS","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=0910.1881&json=true","fetch_graph":"https://pith.science/api/pith-number/RHLDMRYSXBPOJYWH2HHLUJDBLZ/graph.json","fetch_events":"https://pith.science/api/pith-number/RHLDMRYSXBPOJYWH2HHLUJDBLZ/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/RHLDMRYSXBPOJYWH2HHLUJDBLZ/action/timestamp_anchor","attest_storage":"https://pith.science/pith/RHLDMRYSXBPOJYWH2HHLUJDBLZ/action/storage_attestation","attest_author":"https://pith.science/pith/RHLDMRYSXBPOJYWH2HHLUJDBLZ/action/author_attestation","sign_citation":"https://pith.science/pith/RHLDMRYSXBPOJYWH2HHLUJDBLZ/action/citation_signature","submit_replication":"https://pith.science/pith/RHLDMRYSXBPOJYWH2HHLUJDBLZ/action/replication_record"}},"created_at":"2026-05-18T02:34:19.352778+00:00","updated_at":"2026-05-18T02:34:19.352778+00:00"}