{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2023:5XMXORWIKNWXASS5NYXBYZTS2D","short_pith_number":"pith:5XMXORWI","schema_version":"1.0","canonical_sha256":"edd97746c8536d704a5d6e2e1c6672d0f41e3ab8a2e66af6f43b38c9ca000723","source":{"kind":"arxiv","id":"2305.14090","version":1},"attestation_state":"computed","paper":{"title":"On a procedure to derive $\\epsilon$-factorised differential equations beyond polylogarithms","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-ph"],"primary_cat":"hep-th","authors_text":"Christoph Nega, Fabian J. Wagner, Lennard G\\\"orges, Lorenzo Tancredi","submitted_at":"2023-05-23T14:14:59Z","abstract_excerpt":"In this manuscript, we elaborate on a procedure to derive $\\epsilon$-factorised differential equations for multi-scale, multi-loop classes of Feynman integrals that evaluate to special functions beyond multiple polylogarithms. We demonstrate the applicability of our approach to diverse classes of problems, by working out $\\epsilon$-factorised differential equations for single- and multi-scale problems of increasing complexity. To start we are reconsidering the well-studied equal-mass two-loop sunrise case, and move then to study other elliptic two-, three- and four-point problems depending on "},"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":"2305.14090","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2023-05-23T14:14:59Z","cross_cats_sorted":["hep-ph"],"title_canon_sha256":"74abf1e56beb8beeab1eef87ec8bae2ef289ac280ba58bc3b1879557985321d1","abstract_canon_sha256":"51fe099cb1001b5b15c16afc63793fe8b8898ab4e0f2c4c7b677d09a72264093"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T06:38:58.036607Z","signature_b64":"xdu543YyFDFRCi3HdEDD1RTmjzhiwjiGXD6WzD/+WShXXDtKughzS+1qkCTuYzikh/78FCKCu2JHm0lbxl3pAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"edd97746c8536d704a5d6e2e1c6672d0f41e3ab8a2e66af6f43b38c9ca000723","last_reissued_at":"2026-07-05T06:38:58.036161Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T06:38:58.036161Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"On a procedure to derive $\\epsilon$-factorised differential equations beyond polylogarithms","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-ph"],"primary_cat":"hep-th","authors_text":"Christoph Nega, Fabian J. Wagner, Lennard G\\\"orges, Lorenzo Tancredi","submitted_at":"2023-05-23T14:14:59Z","abstract_excerpt":"In this manuscript, we elaborate on a procedure to derive $\\epsilon$-factorised differential equations for multi-scale, multi-loop classes of Feynman integrals that evaluate to special functions beyond multiple polylogarithms. We demonstrate the applicability of our approach to diverse classes of problems, by working out $\\epsilon$-factorised differential equations for single- and multi-scale problems of increasing complexity. To start we are reconsidering the well-studied equal-mass two-loop sunrise case, and move then to study other elliptic two-, three- and four-point problems depending on "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2305.14090","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2305.14090/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":"2305.14090","created_at":"2026-07-05T06:38:58.036227+00:00"},{"alias_kind":"arxiv_version","alias_value":"2305.14090v1","created_at":"2026-07-05T06:38:58.036227+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2305.14090","created_at":"2026-07-05T06:38:58.036227+00:00"},{"alias_kind":"pith_short_12","alias_value":"5XMXORWIKNWX","created_at":"2026-07-05T06:38:58.036227+00:00"},{"alias_kind":"pith_short_16","alias_value":"5XMXORWIKNWXASS5","created_at":"2026-07-05T06:38:58.036227+00:00"},{"alias_kind":"pith_short_8","alias_value":"5XMXORWI","created_at":"2026-07-05T06:38:58.036227+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":9,"internal_anchor_count":0,"sample":[{"citing_arxiv_id":"2607.00187","citing_title":"From geometry to phenomenology","ref_index":50,"is_internal_anchor":false},{"citing_arxiv_id":"2606.02744","citing_title":"IterInt: Evaluating iterated integrals via differential equations","ref_index":61,"is_internal_anchor":false},{"citing_arxiv_id":"2606.28239","citing_title":"Gravitational Compton scattering at the fourth post-Minkowskian order","ref_index":98,"is_internal_anchor":false},{"citing_arxiv_id":"2606.30354","citing_title":"Solution of Canonical Differential Equations for Integrals on Arbitrary Geometries","ref_index":13,"is_internal_anchor":false},{"citing_arxiv_id":"2411.11846","citing_title":"Emergence of Calabi-Yau manifolds in high-precision black hole scattering","ref_index":88,"is_internal_anchor":false},{"citing_arxiv_id":"2511.15381","citing_title":"New algorithms for Feynman integral reduction and $\\varepsilon$-factorised differential equations","ref_index":44,"is_internal_anchor":false},{"citing_arxiv_id":"2512.13794","citing_title":"The spectrum of Feynman-integral geometries at two loops","ref_index":133,"is_internal_anchor":false},{"citing_arxiv_id":"2604.25270","citing_title":"Integrand Analysis, Leading Singularities and Canonical Bases beyond Polylogarithms","ref_index":26,"is_internal_anchor":false},{"citing_arxiv_id":"2604.08332","citing_title":"Discrete symmetries of Feynman integrals","ref_index":60,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/5XMXORWIKNWXASS5NYXBYZTS2D","json":"https://pith.science/pith/5XMXORWIKNWXASS5NYXBYZTS2D.json","graph_json":"https://pith.science/api/pith-number/5XMXORWIKNWXASS5NYXBYZTS2D/graph.json","events_json":"https://pith.science/api/pith-number/5XMXORWIKNWXASS5NYXBYZTS2D/events.json","paper":"https://pith.science/paper/5XMXORWI"},"agent_actions":{"view_html":"https://pith.science/pith/5XMXORWIKNWXASS5NYXBYZTS2D","download_json":"https://pith.science/pith/5XMXORWIKNWXASS5NYXBYZTS2D.json","view_paper":"https://pith.science/paper/5XMXORWI","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2305.14090&json=true","fetch_graph":"https://pith.science/api/pith-number/5XMXORWIKNWXASS5NYXBYZTS2D/graph.json","fetch_events":"https://pith.science/api/pith-number/5XMXORWIKNWXASS5NYXBYZTS2D/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/5XMXORWIKNWXASS5NYXBYZTS2D/action/timestamp_anchor","attest_storage":"https://pith.science/pith/5XMXORWIKNWXASS5NYXBYZTS2D/action/storage_attestation","attest_author":"https://pith.science/pith/5XMXORWIKNWXASS5NYXBYZTS2D/action/author_attestation","sign_citation":"https://pith.science/pith/5XMXORWIKNWXASS5NYXBYZTS2D/action/citation_signature","submit_replication":"https://pith.science/pith/5XMXORWIKNWXASS5NYXBYZTS2D/action/replication_record"}},"created_at":"2026-07-05T06:38:58.036227+00:00","updated_at":"2026-07-05T06:38:58.036227+00:00"}