{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2013:PFGCYDWLKERSTQEE7MCKOOC7CC","short_pith_number":"pith:PFGCYDWL","schema_version":"1.0","canonical_sha256":"794c2c0ecb512329c084fb04a7385f10ab672ecbae6ddc1250a803f20e9a89d7","source":{"kind":"arxiv","id":"1302.0670","version":2},"attestation_state":"computed","paper":{"title":"Periods and Hodge structures in perturbative quantum field theory","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-ph","math.AG"],"primary_cat":"hep-th","authors_text":"Stefan Weinzierl","submitted_at":"2013-02-04T12:40:48Z","abstract_excerpt":"There is a fruitful interplay between algebraic geometry on the one side and perturbative quantum field theory on the other side. I review the main relevant mathematical concepts of periods, Hodge structures and Picard-Fuchs equations and discuss the connection with Feynman integrals."},"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":"1302.0670","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2013-02-04T12:40:48Z","cross_cats_sorted":["hep-ph","math.AG"],"title_canon_sha256":"a28a494915e84ea0df7a7c19a6d845148a874c08f41c5e87069ebd0295898249","abstract_canon_sha256":"6338b2ab6e25638d71be4cc177ebc8401d826631a08709e67ffdc74cfc1c110c"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:19:04.459646Z","signature_b64":"uhjmQpvwHoM+OOT/ccpSLnYBUY6+cVhuFmrr7Xk2zyH2XdhM7rkQyvRNbjeMe5i1lUx3AnokZGCeeChPCHVXDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"794c2c0ecb512329c084fb04a7385f10ab672ecbae6ddc1250a803f20e9a89d7","last_reissued_at":"2026-05-18T03:19:04.459064Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:19:04.459064Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Periods and Hodge structures in perturbative quantum field theory","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-ph","math.AG"],"primary_cat":"hep-th","authors_text":"Stefan Weinzierl","submitted_at":"2013-02-04T12:40:48Z","abstract_excerpt":"There is a fruitful interplay between algebraic geometry on the one side and perturbative quantum field theory on the other side. I review the main relevant mathematical concepts of periods, Hodge structures and Picard-Fuchs equations and discuss the connection with Feynman integrals."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1302.0670","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":""},"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":"1302.0670","created_at":"2026-05-18T03:19:04.459171+00:00"},{"alias_kind":"arxiv_version","alias_value":"1302.0670v2","created_at":"2026-05-18T03:19:04.459171+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1302.0670","created_at":"2026-05-18T03:19:04.459171+00:00"},{"alias_kind":"pith_short_12","alias_value":"PFGCYDWLKERS","created_at":"2026-05-18T12:27:54.935989+00:00"},{"alias_kind":"pith_short_16","alias_value":"PFGCYDWLKERSTQEE","created_at":"2026-05-18T12:27:54.935989+00:00"},{"alias_kind":"pith_short_8","alias_value":"PFGCYDWL","created_at":"2026-05-18T12:27:54.935989+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2604.09129","citing_title":"Picard-Fuchs Equations of Twisted Differential forms associated to Feynman Integrals","ref_index":32,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/PFGCYDWLKERSTQEE7MCKOOC7CC","json":"https://pith.science/pith/PFGCYDWLKERSTQEE7MCKOOC7CC.json","graph_json":"https://pith.science/api/pith-number/PFGCYDWLKERSTQEE7MCKOOC7CC/graph.json","events_json":"https://pith.science/api/pith-number/PFGCYDWLKERSTQEE7MCKOOC7CC/events.json","paper":"https://pith.science/paper/PFGCYDWL"},"agent_actions":{"view_html":"https://pith.science/pith/PFGCYDWLKERSTQEE7MCKOOC7CC","download_json":"https://pith.science/pith/PFGCYDWLKERSTQEE7MCKOOC7CC.json","view_paper":"https://pith.science/paper/PFGCYDWL","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1302.0670&json=true","fetch_graph":"https://pith.science/api/pith-number/PFGCYDWLKERSTQEE7MCKOOC7CC/graph.json","fetch_events":"https://pith.science/api/pith-number/PFGCYDWLKERSTQEE7MCKOOC7CC/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/PFGCYDWLKERSTQEE7MCKOOC7CC/action/timestamp_anchor","attest_storage":"https://pith.science/pith/PFGCYDWLKERSTQEE7MCKOOC7CC/action/storage_attestation","attest_author":"https://pith.science/pith/PFGCYDWLKERSTQEE7MCKOOC7CC/action/author_attestation","sign_citation":"https://pith.science/pith/PFGCYDWLKERSTQEE7MCKOOC7CC/action/citation_signature","submit_replication":"https://pith.science/pith/PFGCYDWLKERSTQEE7MCKOOC7CC/action/replication_record"}},"created_at":"2026-05-18T03:19:04.459171+00:00","updated_at":"2026-05-18T03:19:04.459171+00:00"}