{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2019:YPVEWT3UMXYBOBA6MBB635SRQO","short_pith_number":"pith:YPVEWT3U","schema_version":"1.0","canonical_sha256":"c3ea4b4f7465f017041e6043edf65183a16f0bf0d8692b3573971a0fa595615c","source":{"kind":"arxiv","id":"1910.11852","version":2},"attestation_state":"computed","paper":{"title":"From Infinity to Four Dimensions: Higher Residue Pairings and Feynman Integrals","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"hep-th","authors_text":"Andrzej Pokraka, Sebastian Mizera","submitted_at":"2019-10-25T17:18:21Z","abstract_excerpt":"We study a surprising phenomenon in which Feynman integrals in $D=4-2\\varepsilon$ space-time dimensions as $\\varepsilon \\to 0$ can be fully characterized by their behavior in the opposite limit, $\\varepsilon \\to \\infty$. More concretely, we consider vector bundles of Feynman integrals over kinematic spaces, whose connections have a polynomial dependence on $\\varepsilon$ and are known to be governed by intersection numbers of twisted forms. They give rise to differential equations that can be obtained exactly as a truncating expansion in either $\\varepsilon$ or $1/\\varepsilon$. We use the latte"},"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":"1910.11852","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2019-10-25T17:18:21Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"819581b4a5513459587b61ddb19b91ed465b0be974b7e4b4ae9387b24a44ebea","abstract_canon_sha256":"d27f68f871aba705d742125de701827a00aa42f13b8b31cd8747b5b23a05c5a9"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T01:48:06.871879Z","signature_b64":"U7tV+8pzPBTOiT/Xf9oHIAwU/krBXFrLCYfX4SiSFMJFjAIZAAH33LKgUNtNm2hjEG7NcyMZu1Jawa9cTwQGDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c3ea4b4f7465f017041e6043edf65183a16f0bf0d8692b3573971a0fa595615c","last_reissued_at":"2026-07-05T01:48:06.871463Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T01:48:06.871463Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"From Infinity to Four Dimensions: Higher Residue Pairings and Feynman Integrals","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"hep-th","authors_text":"Andrzej Pokraka, Sebastian Mizera","submitted_at":"2019-10-25T17:18:21Z","abstract_excerpt":"We study a surprising phenomenon in which Feynman integrals in $D=4-2\\varepsilon$ space-time dimensions as $\\varepsilon \\to 0$ can be fully characterized by their behavior in the opposite limit, $\\varepsilon \\to \\infty$. More concretely, we consider vector bundles of Feynman integrals over kinematic spaces, whose connections have a polynomial dependence on $\\varepsilon$ and are known to be governed by intersection numbers of twisted forms. They give rise to differential equations that can be obtained exactly as a truncating expansion in either $\\varepsilon$ or $1/\\varepsilon$. We use the latte"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1910.11852","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/1910.11852/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":"1910.11852","created_at":"2026-07-05T01:48:06.871519+00:00"},{"alias_kind":"arxiv_version","alias_value":"1910.11852v2","created_at":"2026-07-05T01:48:06.871519+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1910.11852","created_at":"2026-07-05T01:48:06.871519+00:00"},{"alias_kind":"pith_short_12","alias_value":"YPVEWT3UMXYB","created_at":"2026-07-05T01:48:06.871519+00:00"},{"alias_kind":"pith_short_16","alias_value":"YPVEWT3UMXYBOBA6","created_at":"2026-07-05T01:48:06.871519+00:00"},{"alias_kind":"pith_short_8","alias_value":"YPVEWT3U","created_at":"2026-07-05T01:48:06.871519+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":5,"internal_anchor_count":0,"sample":[{"citing_arxiv_id":"2605.29789","citing_title":"Magic Relations and Critical Varieties of Feynman Integrals","ref_index":56,"is_internal_anchor":false},{"citing_arxiv_id":"2412.15962","citing_title":"Feynman Integral Reduction without Integration-By-Parts","ref_index":52,"is_internal_anchor":false},{"citing_arxiv_id":"2604.07444","citing_title":"Resurgence of high-energy string amplitudes","ref_index":52,"is_internal_anchor":false},{"citing_arxiv_id":"2604.05025","citing_title":"Feynman integral reduction with intersection theory made simple","ref_index":23,"is_internal_anchor":false},{"citing_arxiv_id":"2604.14549","citing_title":"Loop integrals in de Sitter spacetime: The parity-split IBP system and $\\mathrm{d}\\log$-form differential equations","ref_index":100,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/YPVEWT3UMXYBOBA6MBB635SRQO","json":"https://pith.science/pith/YPVEWT3UMXYBOBA6MBB635SRQO.json","graph_json":"https://pith.science/api/pith-number/YPVEWT3UMXYBOBA6MBB635SRQO/graph.json","events_json":"https://pith.science/api/pith-number/YPVEWT3UMXYBOBA6MBB635SRQO/events.json","paper":"https://pith.science/paper/YPVEWT3U"},"agent_actions":{"view_html":"https://pith.science/pith/YPVEWT3UMXYBOBA6MBB635SRQO","download_json":"https://pith.science/pith/YPVEWT3UMXYBOBA6MBB635SRQO.json","view_paper":"https://pith.science/paper/YPVEWT3U","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1910.11852&json=true","fetch_graph":"https://pith.science/api/pith-number/YPVEWT3UMXYBOBA6MBB635SRQO/graph.json","fetch_events":"https://pith.science/api/pith-number/YPVEWT3UMXYBOBA6MBB635SRQO/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/YPVEWT3UMXYBOBA6MBB635SRQO/action/timestamp_anchor","attest_storage":"https://pith.science/pith/YPVEWT3UMXYBOBA6MBB635SRQO/action/storage_attestation","attest_author":"https://pith.science/pith/YPVEWT3UMXYBOBA6MBB635SRQO/action/author_attestation","sign_citation":"https://pith.science/pith/YPVEWT3UMXYBOBA6MBB635SRQO/action/citation_signature","submit_replication":"https://pith.science/pith/YPVEWT3UMXYBOBA6MBB635SRQO/action/replication_record"}},"created_at":"2026-07-05T01:48:06.871519+00:00","updated_at":"2026-07-05T01:48:06.871519+00:00"}