{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:OFUXUH4MCTUCFRTAUMSTYRJHTS","short_pith_number":"pith:OFUXUH4M","schema_version":"1.0","canonical_sha256":"71697a1f8c14e822c660a3253c45279ca28a8f22ada7a4f9e0bac93a063d27ff","source":{"kind":"arxiv","id":"1511.09190","version":1},"attestation_state":"computed","paper":{"title":"Analytical and Geometric approches of non-perturbative Quantum Field Theories","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-ph","hep-th","math.MP"],"primary_cat":"math-ph","authors_text":"Pierre J. Clavier","submitted_at":"2015-11-30T07:54:24Z","abstract_excerpt":"We present the Hopf algebra of renormalization and introduce the renormalization group equation in this framework. Some linear Schwinger--Dyson equations are studied, and exact solutions are presented. Then we study the Schwinger--Dyson equation of the massless Wess--Zumino model in the physical plane and in the Borel plane. In the former the asymptotics of the solution of the Schwinger--Dyson equation is found and its perturbations are computed. In the later we study the singularities of the solution and their transcendental contents. The last chapter is a presentation of the BV formalism see"},"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":"1511.09190","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2015-11-30T07:54:24Z","cross_cats_sorted":["hep-ph","hep-th","math.MP"],"title_canon_sha256":"da2c38992d8adb639b67ffaa38dd46116eeee13cb909e1e460804742c31fad29","abstract_canon_sha256":"f5d3e977d097931e881d8ecd2574ff6600565320a361130798ef361122f530a7"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:25:40.841837Z","signature_b64":"5VufcJVdYjc8P/klj4lkO3Xh/X+61pI10tuK24cDv16wFr8W2PssRVGjEcehG3up36tNdn1MgOyR5wozA324AA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"71697a1f8c14e822c660a3253c45279ca28a8f22ada7a4f9e0bac93a063d27ff","last_reissued_at":"2026-05-18T01:25:40.841143Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:25:40.841143Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Analytical and Geometric approches of non-perturbative Quantum Field Theories","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-ph","hep-th","math.MP"],"primary_cat":"math-ph","authors_text":"Pierre J. Clavier","submitted_at":"2015-11-30T07:54:24Z","abstract_excerpt":"We present the Hopf algebra of renormalization and introduce the renormalization group equation in this framework. Some linear Schwinger--Dyson equations are studied, and exact solutions are presented. Then we study the Schwinger--Dyson equation of the massless Wess--Zumino model in the physical plane and in the Borel plane. In the former the asymptotics of the solution of the Schwinger--Dyson equation is found and its perturbations are computed. In the later we study the singularities of the solution and their transcendental contents. The last chapter is a presentation of the BV formalism see"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1511.09190","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":"1511.09190","created_at":"2026-05-18T01:25:40.841268+00:00"},{"alias_kind":"arxiv_version","alias_value":"1511.09190v1","created_at":"2026-05-18T01:25:40.841268+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1511.09190","created_at":"2026-05-18T01:25:40.841268+00:00"},{"alias_kind":"pith_short_12","alias_value":"OFUXUH4MCTUC","created_at":"2026-05-18T12:29:34.919912+00:00"},{"alias_kind":"pith_short_16","alias_value":"OFUXUH4MCTUCFRTA","created_at":"2026-05-18T12:29:34.919912+00:00"},{"alias_kind":"pith_short_8","alias_value":"OFUXUH4M","created_at":"2026-05-18T12:29:34.919912+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/OFUXUH4MCTUCFRTAUMSTYRJHTS","json":"https://pith.science/pith/OFUXUH4MCTUCFRTAUMSTYRJHTS.json","graph_json":"https://pith.science/api/pith-number/OFUXUH4MCTUCFRTAUMSTYRJHTS/graph.json","events_json":"https://pith.science/api/pith-number/OFUXUH4MCTUCFRTAUMSTYRJHTS/events.json","paper":"https://pith.science/paper/OFUXUH4M"},"agent_actions":{"view_html":"https://pith.science/pith/OFUXUH4MCTUCFRTAUMSTYRJHTS","download_json":"https://pith.science/pith/OFUXUH4MCTUCFRTAUMSTYRJHTS.json","view_paper":"https://pith.science/paper/OFUXUH4M","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1511.09190&json=true","fetch_graph":"https://pith.science/api/pith-number/OFUXUH4MCTUCFRTAUMSTYRJHTS/graph.json","fetch_events":"https://pith.science/api/pith-number/OFUXUH4MCTUCFRTAUMSTYRJHTS/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/OFUXUH4MCTUCFRTAUMSTYRJHTS/action/timestamp_anchor","attest_storage":"https://pith.science/pith/OFUXUH4MCTUCFRTAUMSTYRJHTS/action/storage_attestation","attest_author":"https://pith.science/pith/OFUXUH4MCTUCFRTAUMSTYRJHTS/action/author_attestation","sign_citation":"https://pith.science/pith/OFUXUH4MCTUCFRTAUMSTYRJHTS/action/citation_signature","submit_replication":"https://pith.science/pith/OFUXUH4MCTUCFRTAUMSTYRJHTS/action/replication_record"}},"created_at":"2026-05-18T01:25:40.841268+00:00","updated_at":"2026-05-18T01:25:40.841268+00:00"}