{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2022:HB7DC74YSEY3RTEA73R7GP5G7J","short_pith_number":"pith:HB7DC74Y","schema_version":"1.0","canonical_sha256":"387e317f989131b8cc80fee3f33fa6fa7312119fa5b3c8d944b111911bb9b2a7","source":{"kind":"arxiv","id":"2209.03922","version":4},"attestation_state":"computed","paper":{"title":"A Symbol and Coaction for Higher-Loop Sunrise Integrals","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["hep-ph"],"primary_cat":"hep-th","authors_text":"Andreas Forum, Matt von Hippel","submitted_at":"2022-09-08T17:01:48Z","abstract_excerpt":"We construct a symbol and coaction for $l$-loop sunrise integrals, both for the equal-mass and generic-mass cases. These constitute the first concrete examples of symbols and coactions for integrals involving Calabi-Yau threefolds and higher. In order to achieve a symbol of finite length, we recast the differential equations satisfied by the master integrals of this topology in the form of a unipotent differential equation. We augment the basis of master integrals in a natural way by including ratios of maximal cuts $\\tau_i$. We discuss the relationship of this construction to constructions of"},"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":"2209.03922","kind":"arxiv","version":4},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2022-09-08T17:01:48Z","cross_cats_sorted":["hep-ph"],"title_canon_sha256":"ea015a162084ef82fc54040fbf2af2ac9200a9a7461b4aa470e77e41e92a5319","abstract_canon_sha256":"e1992e71bb9272c12ebf1c3d6f63dbabe3bb28aea3453111df24f6e2845d01e3"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T06:09:31.582241Z","signature_b64":"+gGvOg0hK8PpXYBvMgWGsHvWF14CXy4A4Xo6q/Dcb42Bwa5QcVrKmBp+78s6dwhrvqlJ0/IYVEymC0WQNsOyCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"387e317f989131b8cc80fee3f33fa6fa7312119fa5b3c8d944b111911bb9b2a7","last_reissued_at":"2026-07-05T06:09:31.581821Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T06:09:31.581821Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A Symbol and Coaction for Higher-Loop Sunrise Integrals","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["hep-ph"],"primary_cat":"hep-th","authors_text":"Andreas Forum, Matt von Hippel","submitted_at":"2022-09-08T17:01:48Z","abstract_excerpt":"We construct a symbol and coaction for $l$-loop sunrise integrals, both for the equal-mass and generic-mass cases. These constitute the first concrete examples of symbols and coactions for integrals involving Calabi-Yau threefolds and higher. In order to achieve a symbol of finite length, we recast the differential equations satisfied by the master integrals of this topology in the form of a unipotent differential equation. We augment the basis of master integrals in a natural way by including ratios of maximal cuts $\\tau_i$. We discuss the relationship of this construction to constructions of"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2209.03922","kind":"arxiv","version":4},"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/2209.03922/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":"2209.03922","created_at":"2026-07-05T06:09:31.581878+00:00"},{"alias_kind":"arxiv_version","alias_value":"2209.03922v4","created_at":"2026-07-05T06:09:31.581878+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2209.03922","created_at":"2026-07-05T06:09:31.581878+00:00"},{"alias_kind":"pith_short_12","alias_value":"HB7DC74YSEY3","created_at":"2026-07-05T06:09:31.581878+00:00"},{"alias_kind":"pith_short_16","alias_value":"HB7DC74YSEY3RTEA","created_at":"2026-07-05T06:09:31.581878+00:00"},{"alias_kind":"pith_short_8","alias_value":"HB7DC74Y","created_at":"2026-07-05T06:09:31.581878+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":3,"internal_anchor_count":0,"sample":[{"citing_arxiv_id":"2503.02096","citing_title":"Deriving motivic coactions and single-valued maps at genus zero from zeta generators","ref_index":95,"is_internal_anchor":false},{"citing_arxiv_id":"2508.02800","citing_title":"Towards Motivic Coactions at Genus One from Zeta Generators","ref_index":85,"is_internal_anchor":false},{"citing_arxiv_id":"2604.09129","citing_title":"Picard-Fuchs Equations of Twisted Differential forms associated to Feynman Integrals","ref_index":19,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/HB7DC74YSEY3RTEA73R7GP5G7J","json":"https://pith.science/pith/HB7DC74YSEY3RTEA73R7GP5G7J.json","graph_json":"https://pith.science/api/pith-number/HB7DC74YSEY3RTEA73R7GP5G7J/graph.json","events_json":"https://pith.science/api/pith-number/HB7DC74YSEY3RTEA73R7GP5G7J/events.json","paper":"https://pith.science/paper/HB7DC74Y"},"agent_actions":{"view_html":"https://pith.science/pith/HB7DC74YSEY3RTEA73R7GP5G7J","download_json":"https://pith.science/pith/HB7DC74YSEY3RTEA73R7GP5G7J.json","view_paper":"https://pith.science/paper/HB7DC74Y","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2209.03922&json=true","fetch_graph":"https://pith.science/api/pith-number/HB7DC74YSEY3RTEA73R7GP5G7J/graph.json","fetch_events":"https://pith.science/api/pith-number/HB7DC74YSEY3RTEA73R7GP5G7J/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/HB7DC74YSEY3RTEA73R7GP5G7J/action/timestamp_anchor","attest_storage":"https://pith.science/pith/HB7DC74YSEY3RTEA73R7GP5G7J/action/storage_attestation","attest_author":"https://pith.science/pith/HB7DC74YSEY3RTEA73R7GP5G7J/action/author_attestation","sign_citation":"https://pith.science/pith/HB7DC74YSEY3RTEA73R7GP5G7J/action/citation_signature","submit_replication":"https://pith.science/pith/HB7DC74YSEY3RTEA73R7GP5G7J/action/replication_record"}},"created_at":"2026-07-05T06:09:31.581878+00:00","updated_at":"2026-07-05T06:09:31.581878+00:00"}