{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2024:3VIRUZXI5AOLQIX2GYWBPOAKZ7","short_pith_number":"pith:3VIRUZXI","schema_version":"1.0","canonical_sha256":"dd511a66e8e81cb822fa362c17b80acfd48fa0de9420f520f5b3c4314be7e513","source":{"kind":"arxiv","id":"2410.22465","version":1},"attestation_state":"computed","paper":{"title":"Analytic evaluation of the three-loop three-point form factor of $\\operatorname{tr}\\phi^3$ in $\\mathcal{N}=4$ sYM","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["hep-ph"],"primary_cat":"hep-th","authors_text":"Johannes M. Henn, Jungwon Lim, William J. Torres Bobadilla","submitted_at":"2024-10-29T19:00:00Z","abstract_excerpt":"We compute analytically the three-loop correlation function of the local operator $\\text{tr} \\, \\phi^3$ inserted into three on-shell states, in maximally supersymmetric Yang-Mills theory. The result is expressed in terms of Chen iterated integrals. We also present our result using generalised polylogarithms, and evaluate them numerically, finding agreement with a previous numerical result in the literature. We observe that the result depends on fewer kinematic singularities compared to individual Feynman integrals. Furthermore, upon choosing a suitable definition of the finite part, we find th"},"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":"2410.22465","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2024-10-29T19:00:00Z","cross_cats_sorted":["hep-ph"],"title_canon_sha256":"490621df8b94f9e174e8e3313ab23e42dcaf8815f5af04b98a652fb4f6ecdaef","abstract_canon_sha256":"ab10003522f3ff148789b713cc4d9dc64b528f2ca4c6d13d2f64e0ca8ed9adb0"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T09:28:17.020985Z","signature_b64":"8sxARDd04q7pUBM5Nhs6eJbQJXXZ1+4cRRGY9/zEREjqFfQdkU8kna3374HC33vaJSmdemvZ/gJsiELPX4aNDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"dd511a66e8e81cb822fa362c17b80acfd48fa0de9420f520f5b3c4314be7e513","last_reissued_at":"2026-07-05T09:28:17.020483Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T09:28:17.020483Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Analytic evaluation of the three-loop three-point form factor of $\\operatorname{tr}\\phi^3$ in $\\mathcal{N}=4$ sYM","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["hep-ph"],"primary_cat":"hep-th","authors_text":"Johannes M. Henn, Jungwon Lim, William J. Torres Bobadilla","submitted_at":"2024-10-29T19:00:00Z","abstract_excerpt":"We compute analytically the three-loop correlation function of the local operator $\\text{tr} \\, \\phi^3$ inserted into three on-shell states, in maximally supersymmetric Yang-Mills theory. The result is expressed in terms of Chen iterated integrals. We also present our result using generalised polylogarithms, and evaluate them numerically, finding agreement with a previous numerical result in the literature. We observe that the result depends on fewer kinematic singularities compared to individual Feynman integrals. Furthermore, upon choosing a suitable definition of the finite part, we find th"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2410.22465","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/2410.22465/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":"2410.22465","created_at":"2026-07-05T09:28:17.020549+00:00"},{"alias_kind":"arxiv_version","alias_value":"2410.22465v1","created_at":"2026-07-05T09:28:17.020549+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2410.22465","created_at":"2026-07-05T09:28:17.020549+00:00"},{"alias_kind":"pith_short_12","alias_value":"3VIRUZXI5AOL","created_at":"2026-07-05T09:28:17.020549+00:00"},{"alias_kind":"pith_short_16","alias_value":"3VIRUZXI5AOLQIX2","created_at":"2026-07-05T09:28:17.020549+00:00"},{"alias_kind":"pith_short_8","alias_value":"3VIRUZXI","created_at":"2026-07-05T09:28:17.020549+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":2,"internal_anchor_count":0,"sample":[{"citing_arxiv_id":"2605.28955","citing_title":"Bootstrapping the Four-Point NMHV Stress-Tensor Form Factor","ref_index":37,"is_internal_anchor":false},{"citing_arxiv_id":"2604.21015","citing_title":"Form factors of $\\mathscr{N}=4$ self-dual Yang-Mills from the chiral algebra bootstrap","ref_index":28,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/3VIRUZXI5AOLQIX2GYWBPOAKZ7","json":"https://pith.science/pith/3VIRUZXI5AOLQIX2GYWBPOAKZ7.json","graph_json":"https://pith.science/api/pith-number/3VIRUZXI5AOLQIX2GYWBPOAKZ7/graph.json","events_json":"https://pith.science/api/pith-number/3VIRUZXI5AOLQIX2GYWBPOAKZ7/events.json","paper":"https://pith.science/paper/3VIRUZXI"},"agent_actions":{"view_html":"https://pith.science/pith/3VIRUZXI5AOLQIX2GYWBPOAKZ7","download_json":"https://pith.science/pith/3VIRUZXI5AOLQIX2GYWBPOAKZ7.json","view_paper":"https://pith.science/paper/3VIRUZXI","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2410.22465&json=true","fetch_graph":"https://pith.science/api/pith-number/3VIRUZXI5AOLQIX2GYWBPOAKZ7/graph.json","fetch_events":"https://pith.science/api/pith-number/3VIRUZXI5AOLQIX2GYWBPOAKZ7/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/3VIRUZXI5AOLQIX2GYWBPOAKZ7/action/timestamp_anchor","attest_storage":"https://pith.science/pith/3VIRUZXI5AOLQIX2GYWBPOAKZ7/action/storage_attestation","attest_author":"https://pith.science/pith/3VIRUZXI5AOLQIX2GYWBPOAKZ7/action/author_attestation","sign_citation":"https://pith.science/pith/3VIRUZXI5AOLQIX2GYWBPOAKZ7/action/citation_signature","submit_replication":"https://pith.science/pith/3VIRUZXI5AOLQIX2GYWBPOAKZ7/action/replication_record"}},"created_at":"2026-07-05T09:28:17.020549+00:00","updated_at":"2026-07-05T09:28:17.020549+00:00"}