{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:1995:ONESSDQOZFLAKXNU3HGHDBL646","short_pith_number":"pith:ONESSDQO","schema_version":"1.0","canonical_sha256":"7349290e0ec956055db4d9cc71857ee7accd344aed68f9e223d08fd1c9810f1c","source":{"kind":"arxiv","id":"hep-ph/9501201","version":1},"attestation_state":"computed","paper":{"title":"Simple one-dimensional integral representations for two-loop self-energies: the master diagram","license":"","headline":"","cross_cats":[],"primary_cat":"hep-ph","authors_text":"M. Boehm, S. Bauberger","submitted_at":"1995-01-02T08:47:12Z","abstract_excerpt":"The scalar two-loop self-energy master diagram is studied in the case of arbitrary masses. Analytical results in terms of Lauricella- and Appell-functions are presented for the imaginary part. By using the dispersion relation a one-dimensional integral representation is derived. This representation uses only elementary functions and is thus well suited for a numerical calculation of the master diagram."},"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":"hep-ph/9501201","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"hep-ph","submitted_at":"1995-01-02T08:47:12Z","cross_cats_sorted":[],"title_canon_sha256":"faf6785ade130a3c41321b4f694bb2429483449b307d8b827a8deb12ce175d25","abstract_canon_sha256":"f730eda08d65e79606fe3bb525121bcdce879d7fea6efb301f4572a1c310392e"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T15:58:57.718030Z","signature_b64":"tX7lVRJeFm1A+FBllX7KpjsBrxsrE5B27xJuFD6DlYPBQwRu6g5pwA2vmLX3N6S0Ao+HxGgTpCm5Lwa5l+ngDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7349290e0ec956055db4d9cc71857ee7accd344aed68f9e223d08fd1c9810f1c","last_reissued_at":"2026-07-04T15:58:57.717604Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T15:58:57.717604Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Simple one-dimensional integral representations for two-loop self-energies: the master diagram","license":"","headline":"","cross_cats":[],"primary_cat":"hep-ph","authors_text":"M. Boehm, S. Bauberger","submitted_at":"1995-01-02T08:47:12Z","abstract_excerpt":"The scalar two-loop self-energy master diagram is studied in the case of arbitrary masses. Analytical results in terms of Lauricella- and Appell-functions are presented for the imaginary part. By using the dispersion relation a one-dimensional integral representation is derived. This representation uses only elementary functions and is thus well suited for a numerical calculation of the master diagram."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-ph/9501201","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/hep-ph/9501201/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":"hep-ph/9501201","created_at":"2026-07-04T15:58:57.717668+00:00"},{"alias_kind":"arxiv_version","alias_value":"hep-ph/9501201v1","created_at":"2026-07-04T15:58:57.717668+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-ph/9501201","created_at":"2026-07-04T15:58:57.717668+00:00"},{"alias_kind":"pith_short_12","alias_value":"ONESSDQOZFLA","created_at":"2026-07-04T15:58:57.717668+00:00"},{"alias_kind":"pith_short_16","alias_value":"ONESSDQOZFLAKXNU","created_at":"2026-07-04T15:58:57.717668+00:00"},{"alias_kind":"pith_short_8","alias_value":"ONESSDQO","created_at":"2026-07-04T15:58:57.717668+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2510.23809","citing_title":"Recurrence Relations and Dispersive Techniques for Precision Multi-Loop Calculations","ref_index":58,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/ONESSDQOZFLAKXNU3HGHDBL646","json":"https://pith.science/pith/ONESSDQOZFLAKXNU3HGHDBL646.json","graph_json":"https://pith.science/api/pith-number/ONESSDQOZFLAKXNU3HGHDBL646/graph.json","events_json":"https://pith.science/api/pith-number/ONESSDQOZFLAKXNU3HGHDBL646/events.json","paper":"https://pith.science/paper/ONESSDQO"},"agent_actions":{"view_html":"https://pith.science/pith/ONESSDQOZFLAKXNU3HGHDBL646","download_json":"https://pith.science/pith/ONESSDQOZFLAKXNU3HGHDBL646.json","view_paper":"https://pith.science/paper/ONESSDQO","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=hep-ph/9501201&json=true","fetch_graph":"https://pith.science/api/pith-number/ONESSDQOZFLAKXNU3HGHDBL646/graph.json","fetch_events":"https://pith.science/api/pith-number/ONESSDQOZFLAKXNU3HGHDBL646/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/ONESSDQOZFLAKXNU3HGHDBL646/action/timestamp_anchor","attest_storage":"https://pith.science/pith/ONESSDQOZFLAKXNU3HGHDBL646/action/storage_attestation","attest_author":"https://pith.science/pith/ONESSDQOZFLAKXNU3HGHDBL646/action/author_attestation","sign_citation":"https://pith.science/pith/ONESSDQOZFLAKXNU3HGHDBL646/action/citation_signature","submit_replication":"https://pith.science/pith/ONESSDQOZFLAKXNU3HGHDBL646/action/replication_record"}},"created_at":"2026-07-04T15:58:57.717668+00:00","updated_at":"2026-07-04T15:58:57.717668+00:00"}