{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2023:SK3GNMU76K4AVUOY4FUGOEG5SN","short_pith_number":"pith:SK3GNMU7","schema_version":"1.0","canonical_sha256":"92b666b29ff2b80ad1d8e1686710dd93585f0c8d66a4d3a9654302690929f3d8","source":{"kind":"arxiv","id":"2306.04630","version":2},"attestation_state":"computed","paper":{"title":"One-loop Integrals from Volumes of Orthoschemes","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Anastasia Volovich, Cristian Vergu, Lecheng Ren, Marcus Spradlin","submitted_at":"2023-06-07T17:55:33Z","abstract_excerpt":"Recently in arXiv:2012.05599 Rudenko presented a formula for the volume of hyperbolic orthoschemes in terms of alternating polylogarithms. We use this result to provide an explicit analytic result for the one-loop scalar n-gon Feynman integral in n dimensions, for even n, with massless or massive internal and external edges. Furthermore, we evaluate the general six-dimensional hexagon integral in terms of classical polylogarithms."},"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":"2306.04630","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2023-06-07T17:55:33Z","cross_cats_sorted":[],"title_canon_sha256":"97f5a80fea2a65bff5c7546c478017ecdf157ac76cfd940dd72d81e4505bb541","abstract_canon_sha256":"b4372f4f1cedcc98fd33336e9371cfae4ed5904d3cfc646faa6fed64d4b7f28b"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T08:07:09.828534Z","signature_b64":"PdS9+y2YYalTx+v2wrrcZKJa7BLg9wR2/t5EzqKXr+lu8HeLke4hT5PeEFTOsnNRO7v8JYdVNW8wt0DchhzUDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"92b666b29ff2b80ad1d8e1686710dd93585f0c8d66a4d3a9654302690929f3d8","last_reissued_at":"2026-07-05T08:07:09.828045Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T08:07:09.828045Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"One-loop Integrals from Volumes of Orthoschemes","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Anastasia Volovich, Cristian Vergu, Lecheng Ren, Marcus Spradlin","submitted_at":"2023-06-07T17:55:33Z","abstract_excerpt":"Recently in arXiv:2012.05599 Rudenko presented a formula for the volume of hyperbolic orthoschemes in terms of alternating polylogarithms. We use this result to provide an explicit analytic result for the one-loop scalar n-gon Feynman integral in n dimensions, for even n, with massless or massive internal and external edges. Furthermore, we evaluate the general six-dimensional hexagon integral in terms of classical polylogarithms."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2306.04630","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/2306.04630/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":"2306.04630","created_at":"2026-07-05T08:07:09.828102+00:00"},{"alias_kind":"arxiv_version","alias_value":"2306.04630v2","created_at":"2026-07-05T08:07:09.828102+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2306.04630","created_at":"2026-07-05T08:07:09.828102+00:00"},{"alias_kind":"pith_short_12","alias_value":"SK3GNMU76K4A","created_at":"2026-07-05T08:07:09.828102+00:00"},{"alias_kind":"pith_short_16","alias_value":"SK3GNMU76K4AVUOY","created_at":"2026-07-05T08:07:09.828102+00:00"},{"alias_kind":"pith_short_8","alias_value":"SK3GNMU7","created_at":"2026-07-05T08:07:09.828102+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":0,"sample":[{"citing_arxiv_id":"2605.06542","citing_title":"de Sitter Wavefunction from Quadrangular Polylogarithms: Chain Graphs","ref_index":27,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/SK3GNMU76K4AVUOY4FUGOEG5SN","json":"https://pith.science/pith/SK3GNMU76K4AVUOY4FUGOEG5SN.json","graph_json":"https://pith.science/api/pith-number/SK3GNMU76K4AVUOY4FUGOEG5SN/graph.json","events_json":"https://pith.science/api/pith-number/SK3GNMU76K4AVUOY4FUGOEG5SN/events.json","paper":"https://pith.science/paper/SK3GNMU7"},"agent_actions":{"view_html":"https://pith.science/pith/SK3GNMU76K4AVUOY4FUGOEG5SN","download_json":"https://pith.science/pith/SK3GNMU76K4AVUOY4FUGOEG5SN.json","view_paper":"https://pith.science/paper/SK3GNMU7","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2306.04630&json=true","fetch_graph":"https://pith.science/api/pith-number/SK3GNMU76K4AVUOY4FUGOEG5SN/graph.json","fetch_events":"https://pith.science/api/pith-number/SK3GNMU76K4AVUOY4FUGOEG5SN/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/SK3GNMU76K4AVUOY4FUGOEG5SN/action/timestamp_anchor","attest_storage":"https://pith.science/pith/SK3GNMU76K4AVUOY4FUGOEG5SN/action/storage_attestation","attest_author":"https://pith.science/pith/SK3GNMU76K4AVUOY4FUGOEG5SN/action/author_attestation","sign_citation":"https://pith.science/pith/SK3GNMU76K4AVUOY4FUGOEG5SN/action/citation_signature","submit_replication":"https://pith.science/pith/SK3GNMU76K4AVUOY4FUGOEG5SN/action/replication_record"}},"created_at":"2026-07-05T08:07:09.828102+00:00","updated_at":"2026-07-05T08:07:09.828102+00:00"}