{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2025:GRSQPOXGSWSBA66MFTXZNXENUN","short_pith_number":"pith:GRSQPOXG","schema_version":"1.0","canonical_sha256":"346507bae695a4107bcc2cef96dc8da3409aeec69aefc4dd7e9bd8361c1a6980","source":{"kind":"arxiv","id":"2510.24728","version":2},"attestation_state":"computed","paper":{"title":"Spectral functions in Minkowski quantum electrodynamics from neural reconstruction","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.LG","hep-lat","hep-th"],"primary_cat":"hep-ph","authors_text":"Rodrigo Carmo Terin","submitted_at":"2025-10-06T13:19:17Z","abstract_excerpt":"We study neural reconstructions of quenched rainbow quantum electrodynamics (QED) Dyson--Schwinger benchmarks in Minkowski-related kinematics. Using the dispersive formulation as motivation, we separate the Euclidean Fukuda--Kugo equation, the spectral unitary equations, and the modified unitary equations. The Fukuda--Kugo benchmark is solved directly and shows the expected zero crossing above the critical region $\\alpha_c=\\pi/3$. Neural reconstructions with free output reproduce this behavior, while positivity-constrained ans\\\"atze fail in the supercritical regime. Thus, spectral positivity s"},"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":"2510.24728","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2025-10-06T13:19:17Z","cross_cats_sorted":["cs.LG","hep-lat","hep-th"],"title_canon_sha256":"48b9e1173bf8c5519cbb9d6825ca827d714ccfc2950c02e5a683ed10e8246cd3","abstract_canon_sha256":"4f94d9162018d84303d4c9165fd4eddc613b90925d0adb63e51021af6136a866"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-24T01:24:04.541293Z","signature_b64":"JoDdrUWaAvtjWng/xUG+rXB1hYtAUoQUXGiAcJRqz9UH16Id35Q1lgxaOLOri7CTvZhK0gZti5PqHTVk4P8HDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"346507bae695a4107bcc2cef96dc8da3409aeec69aefc4dd7e9bd8361c1a6980","last_reissued_at":"2026-07-24T01:24:04.540293Z","signature_status":"signed_v1","first_computed_at":"2026-07-24T01:24:04.540293Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Spectral functions in Minkowski quantum electrodynamics from neural reconstruction","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.LG","hep-lat","hep-th"],"primary_cat":"hep-ph","authors_text":"Rodrigo Carmo Terin","submitted_at":"2025-10-06T13:19:17Z","abstract_excerpt":"We study neural reconstructions of quenched rainbow quantum electrodynamics (QED) Dyson--Schwinger benchmarks in Minkowski-related kinematics. Using the dispersive formulation as motivation, we separate the Euclidean Fukuda--Kugo equation, the spectral unitary equations, and the modified unitary equations. The Fukuda--Kugo benchmark is solved directly and shows the expected zero crossing above the critical region $\\alpha_c=\\pi/3$. Neural reconstructions with free output reproduce this behavior, while positivity-constrained ans\\\"atze fail in the supercritical regime. Thus, spectral positivity s"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2510.24728","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/2510.24728/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":"2510.24728","created_at":"2026-07-24T01:24:04.540779+00:00"},{"alias_kind":"arxiv_version","alias_value":"2510.24728v2","created_at":"2026-07-24T01:24:04.540779+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2510.24728","created_at":"2026-07-24T01:24:04.540779+00:00"},{"alias_kind":"pith_short_12","alias_value":"GRSQPOXGSWSB","created_at":"2026-07-24T01:24:04.540779+00:00"},{"alias_kind":"pith_short_16","alias_value":"GRSQPOXGSWSBA66M","created_at":"2026-07-24T01:24:04.540779+00:00"},{"alias_kind":"pith_short_8","alias_value":"GRSQPOXG","created_at":"2026-07-24T01:24:04.540779+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/GRSQPOXGSWSBA66MFTXZNXENUN","json":"https://pith.science/pith/GRSQPOXGSWSBA66MFTXZNXENUN.json","graph_json":"https://pith.science/api/pith-number/GRSQPOXGSWSBA66MFTXZNXENUN/graph.json","events_json":"https://pith.science/api/pith-number/GRSQPOXGSWSBA66MFTXZNXENUN/events.json","paper":"https://pith.science/paper/GRSQPOXG"},"agent_actions":{"view_html":"https://pith.science/pith/GRSQPOXGSWSBA66MFTXZNXENUN","download_json":"https://pith.science/pith/GRSQPOXGSWSBA66MFTXZNXENUN.json","view_paper":"https://pith.science/paper/GRSQPOXG","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2510.24728&json=true","fetch_graph":"https://pith.science/api/pith-number/GRSQPOXGSWSBA66MFTXZNXENUN/graph.json","fetch_events":"https://pith.science/api/pith-number/GRSQPOXGSWSBA66MFTXZNXENUN/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/GRSQPOXGSWSBA66MFTXZNXENUN/action/timestamp_anchor","attest_storage":"https://pith.science/pith/GRSQPOXGSWSBA66MFTXZNXENUN/action/storage_attestation","attest_author":"https://pith.science/pith/GRSQPOXGSWSBA66MFTXZNXENUN/action/author_attestation","sign_citation":"https://pith.science/pith/GRSQPOXGSWSBA66MFTXZNXENUN/action/citation_signature","submit_replication":"https://pith.science/pith/GRSQPOXGSWSBA66MFTXZNXENUN/action/replication_record"}},"created_at":"2026-07-24T01:24:04.540779+00:00","updated_at":"2026-07-24T01:24:04.540779+00:00"}