{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2013:CYQTZ7CS54V2J6BVXAQGSMQEPZ","short_pith_number":"pith:CYQTZ7CS","schema_version":"1.0","canonical_sha256":"16213cfc52ef2ba4f835b8206932047e4f1fae8f81e02a6bc278e052413df2de","source":{"kind":"arxiv","id":"1311.4897","version":1},"attestation_state":"computed","paper":{"title":"QFT, RG, and all that, for mathematicians, in eleven pages","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.AP","math.DS","math.MP"],"primary_cat":"math.PR","authors_text":"Abdelmalek Abdesselam","submitted_at":"2013-11-19T21:26:29Z","abstract_excerpt":"We present a quick introduction to quantum field theory and Wilson's theory of the renormalization group from the point of view of mathematical analysis. The presentation is geared primarily towards a probability theory, harmonic analysis and dynamical systems theory audience."},"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":"1311.4897","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2013-11-19T21:26:29Z","cross_cats_sorted":["math-ph","math.AP","math.DS","math.MP"],"title_canon_sha256":"dbe1b1424dea78ceb1a0260cfcffcb156d938bb98516ef50b2582ba0470525a3","abstract_canon_sha256":"a66ad03bc750e48c3e54d4f5bdd0a8c5691446f92d5dbdb145072ef946a084af"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:06:42.470344Z","signature_b64":"psYquq0w/ohHDVeRdGUtBq5Hsk3IbgXzy7zwaqJ4NYwxBh0TQC+FirhChrBSxSOD3B1HpIUYtQPGBIWjJUMfDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"16213cfc52ef2ba4f835b8206932047e4f1fae8f81e02a6bc278e052413df2de","last_reissued_at":"2026-05-18T03:06:42.469913Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:06:42.469913Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"QFT, RG, and all that, for mathematicians, in eleven pages","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.AP","math.DS","math.MP"],"primary_cat":"math.PR","authors_text":"Abdelmalek Abdesselam","submitted_at":"2013-11-19T21:26:29Z","abstract_excerpt":"We present a quick introduction to quantum field theory and Wilson's theory of the renormalization group from the point of view of mathematical analysis. The presentation is geared primarily towards a probability theory, harmonic analysis and dynamical systems theory audience."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1311.4897","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":"1311.4897","created_at":"2026-05-18T03:06:42.469979+00:00"},{"alias_kind":"arxiv_version","alias_value":"1311.4897v1","created_at":"2026-05-18T03:06:42.469979+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1311.4897","created_at":"2026-05-18T03:06:42.469979+00:00"},{"alias_kind":"pith_short_12","alias_value":"CYQTZ7CS54V2","created_at":"2026-05-18T12:27:40.988391+00:00"},{"alias_kind":"pith_short_16","alias_value":"CYQTZ7CS54V2J6BV","created_at":"2026-05-18T12:27:40.988391+00:00"},{"alias_kind":"pith_short_8","alias_value":"CYQTZ7CS","created_at":"2026-05-18T12:27:40.988391+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/CYQTZ7CS54V2J6BVXAQGSMQEPZ","json":"https://pith.science/pith/CYQTZ7CS54V2J6BVXAQGSMQEPZ.json","graph_json":"https://pith.science/api/pith-number/CYQTZ7CS54V2J6BVXAQGSMQEPZ/graph.json","events_json":"https://pith.science/api/pith-number/CYQTZ7CS54V2J6BVXAQGSMQEPZ/events.json","paper":"https://pith.science/paper/CYQTZ7CS"},"agent_actions":{"view_html":"https://pith.science/pith/CYQTZ7CS54V2J6BVXAQGSMQEPZ","download_json":"https://pith.science/pith/CYQTZ7CS54V2J6BVXAQGSMQEPZ.json","view_paper":"https://pith.science/paper/CYQTZ7CS","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1311.4897&json=true","fetch_graph":"https://pith.science/api/pith-number/CYQTZ7CS54V2J6BVXAQGSMQEPZ/graph.json","fetch_events":"https://pith.science/api/pith-number/CYQTZ7CS54V2J6BVXAQGSMQEPZ/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/CYQTZ7CS54V2J6BVXAQGSMQEPZ/action/timestamp_anchor","attest_storage":"https://pith.science/pith/CYQTZ7CS54V2J6BVXAQGSMQEPZ/action/storage_attestation","attest_author":"https://pith.science/pith/CYQTZ7CS54V2J6BVXAQGSMQEPZ/action/author_attestation","sign_citation":"https://pith.science/pith/CYQTZ7CS54V2J6BVXAQGSMQEPZ/action/citation_signature","submit_replication":"https://pith.science/pith/CYQTZ7CS54V2J6BVXAQGSMQEPZ/action/replication_record"}},"created_at":"2026-05-18T03:06:42.469979+00:00","updated_at":"2026-05-18T03:06:42.469979+00:00"}