{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2024:MWXLOD6IYK2K2LI2Q6GUDFQYIM","short_pith_number":"pith:MWXLOD6I","schema_version":"1.0","canonical_sha256":"65aeb70fc8c2b4ad2d1a878d419618430841cddc6db825b21b7acb701dc8fa95","source":{"kind":"arxiv","id":"2412.02514","version":2},"attestation_state":"computed","paper":{"title":"A Nonlocal Schwinger Model","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.str-el"],"primary_cat":"hep-th","authors_text":"Abhay Shrestha, Christopher P. Herzog, Ludovic Fraser-Taliente","submitted_at":"2024-12-03T15:57:07Z","abstract_excerpt":"We solve a system of massless fermions constrained to two space-time dimensions interacting via a $d$ space-time dimensional Maxwell field. Through dimensional reduction to the defect and bosonization, the system maps to a massless scalar interacting with a nonlocal Maxwell field through a $F \\phi$-coupling. The $d=2$ dimensional case is the usual Schwinger model where the photon gets a mass. More generally, in $2<d<4$ dimensions, the degrees of freedom map to a scalar which undergoes a renormalization group flow; in the ultraviolet, the scalar is free, while in the infrared it has scaling dim"},"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":"2412.02514","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2024-12-03T15:57:07Z","cross_cats_sorted":["cond-mat.str-el"],"title_canon_sha256":"6ddfc6157c6a7e7b8cce394e95b2d50fb9ee8758a0d0b03c5e966d1937a2be95","abstract_canon_sha256":"a0dc948831272240e52f192f86f2e359ce9ab175f9fbfb21e7623f28ccf603d9"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T09:44:55.437997Z","signature_b64":"YSJNX+kg6o9oNc5q/yLWV8I9A/2DdAC+QqPRThLAkWEuP/txczBdC2MtHMALqA8EVOAE9urVYZnPvt2JDhFiBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"65aeb70fc8c2b4ad2d1a878d419618430841cddc6db825b21b7acb701dc8fa95","last_reissued_at":"2026-07-05T09:44:55.437517Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T09:44:55.437517Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A Nonlocal Schwinger Model","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.str-el"],"primary_cat":"hep-th","authors_text":"Abhay Shrestha, Christopher P. Herzog, Ludovic Fraser-Taliente","submitted_at":"2024-12-03T15:57:07Z","abstract_excerpt":"We solve a system of massless fermions constrained to two space-time dimensions interacting via a $d$ space-time dimensional Maxwell field. Through dimensional reduction to the defect and bosonization, the system maps to a massless scalar interacting with a nonlocal Maxwell field through a $F \\phi$-coupling. The $d=2$ dimensional case is the usual Schwinger model where the photon gets a mass. More generally, in $2<d<4$ dimensions, the degrees of freedom map to a scalar which undergoes a renormalization group flow; in the ultraviolet, the scalar is free, while in the infrared it has scaling dim"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2412.02514","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2412.02514/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2412.02514","created_at":"2026-07-05T09:44:55.437573+00:00"},{"alias_kind":"arxiv_version","alias_value":"2412.02514v2","created_at":"2026-07-05T09:44:55.437573+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2412.02514","created_at":"2026-07-05T09:44:55.437573+00:00"},{"alias_kind":"pith_short_12","alias_value":"MWXLOD6IYK2K","created_at":"2026-07-05T09:44:55.437573+00:00"},{"alias_kind":"pith_short_16","alias_value":"MWXLOD6IYK2K2LI2","created_at":"2026-07-05T09:44:55.437573+00:00"},{"alias_kind":"pith_short_8","alias_value":"MWXLOD6I","created_at":"2026-07-05T09:44:55.437573+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":2,"internal_anchor_count":0,"sample":[{"citing_arxiv_id":"2605.21755","citing_title":"Universalities of Defects in Quantum Field Theories","ref_index":57,"is_internal_anchor":false},{"citing_arxiv_id":"2604.15420","citing_title":"Local CFTs extremise $F$","ref_index":34,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/MWXLOD6IYK2K2LI2Q6GUDFQYIM","json":"https://pith.science/pith/MWXLOD6IYK2K2LI2Q6GUDFQYIM.json","graph_json":"https://pith.science/api/pith-number/MWXLOD6IYK2K2LI2Q6GUDFQYIM/graph.json","events_json":"https://pith.science/api/pith-number/MWXLOD6IYK2K2LI2Q6GUDFQYIM/events.json","paper":"https://pith.science/paper/MWXLOD6I"},"agent_actions":{"view_html":"https://pith.science/pith/MWXLOD6IYK2K2LI2Q6GUDFQYIM","download_json":"https://pith.science/pith/MWXLOD6IYK2K2LI2Q6GUDFQYIM.json","view_paper":"https://pith.science/paper/MWXLOD6I","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2412.02514&json=true","fetch_graph":"https://pith.science/api/pith-number/MWXLOD6IYK2K2LI2Q6GUDFQYIM/graph.json","fetch_events":"https://pith.science/api/pith-number/MWXLOD6IYK2K2LI2Q6GUDFQYIM/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/MWXLOD6IYK2K2LI2Q6GUDFQYIM/action/timestamp_anchor","attest_storage":"https://pith.science/pith/MWXLOD6IYK2K2LI2Q6GUDFQYIM/action/storage_attestation","attest_author":"https://pith.science/pith/MWXLOD6IYK2K2LI2Q6GUDFQYIM/action/author_attestation","sign_citation":"https://pith.science/pith/MWXLOD6IYK2K2LI2Q6GUDFQYIM/action/citation_signature","submit_replication":"https://pith.science/pith/MWXLOD6IYK2K2LI2Q6GUDFQYIM/action/replication_record"}},"created_at":"2026-07-05T09:44:55.437573+00:00","updated_at":"2026-07-05T09:44:55.437573+00:00"}