{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2023:MSHGPA733ROZMDTY726QAKW7H5","short_pith_number":"pith:MSHGPA73","schema_version":"1.0","canonical_sha256":"648e6783fbdc5d960e78febd002adf3f7151cc768de8b105ec2495cf5c098eb0","source":{"kind":"arxiv","id":"2302.12733","version":2},"attestation_state":"computed","paper":{"title":"Evaluating one-loop string amplitudes","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"hep-th","authors_text":"Lorenz Eberhardt, Sebastian Mizera","submitted_at":"2023-02-24T16:40:48Z","abstract_excerpt":"We evaluate one-loop open-string amplitudes at finite $\\alpha'$ for the first time. Our method involves a deformation of the integration contour over the modular parameter $\\tau$ to a fractal contour introduced by Rademacher in the context of analytic number theory. This procedure leads to explicit and practical formulas for the one-loop four-point amplitudes in type-I superstring theory, amenable to numerical evaluation. We plot the amplitudes as a function of the Mandelstam invariants $s$ and $t$ and directly verify long-standing conjectures about their behaviour at high energies."},"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":"2302.12733","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2023-02-24T16:40:48Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"c3da225b8df3ae9c2025e629f881c98de36787c567a259462cd6b6724b39c74f","abstract_canon_sha256":"aebb21568254a01cf2d1224c9ad0b9681040172b52a43f6926f09d1a1c509214"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T06:54:14.746484Z","signature_b64":"L+LOOXq3jwaWdHBpwZdFwC7cawQW/V+Lt3okrkDyObO8ANdJ+aF8N46x2TC+g976Hr0UGHaSEJ8j/1Wgz/LkDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"648e6783fbdc5d960e78febd002adf3f7151cc768de8b105ec2495cf5c098eb0","last_reissued_at":"2026-07-05T06:54:14.745990Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T06:54:14.745990Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Evaluating one-loop string amplitudes","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"hep-th","authors_text":"Lorenz Eberhardt, Sebastian Mizera","submitted_at":"2023-02-24T16:40:48Z","abstract_excerpt":"We evaluate one-loop open-string amplitudes at finite $\\alpha'$ for the first time. Our method involves a deformation of the integration contour over the modular parameter $\\tau$ to a fractal contour introduced by Rademacher in the context of analytic number theory. This procedure leads to explicit and practical formulas for the one-loop four-point amplitudes in type-I superstring theory, amenable to numerical evaluation. We plot the amplitudes as a function of the Mandelstam invariants $s$ and $t$ and directly verify long-standing conjectures about their behaviour at high energies."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2302.12733","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/2302.12733/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":"2302.12733","created_at":"2026-07-05T06:54:14.746048+00:00"},{"alias_kind":"arxiv_version","alias_value":"2302.12733v2","created_at":"2026-07-05T06:54:14.746048+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2302.12733","created_at":"2026-07-05T06:54:14.746048+00:00"},{"alias_kind":"pith_short_12","alias_value":"MSHGPA733ROZ","created_at":"2026-07-05T06:54:14.746048+00:00"},{"alias_kind":"pith_short_16","alias_value":"MSHGPA733ROZMDTY","created_at":"2026-07-05T06:54:14.746048+00:00"},{"alias_kind":"pith_short_8","alias_value":"MSHGPA73","created_at":"2026-07-05T06:54:14.746048+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":4,"internal_anchor_count":0,"sample":[{"citing_arxiv_id":"2606.17602","citing_title":"Lorentzian Regularization of the Type IIB Superstring Torus Vacuum","ref_index":19,"is_internal_anchor":false},{"citing_arxiv_id":"2601.09707","citing_title":"Precision asymptotics of string amplitudes","ref_index":25,"is_internal_anchor":false},{"citing_arxiv_id":"2604.07444","citing_title":"Resurgence of high-energy string amplitudes","ref_index":80,"is_internal_anchor":false},{"citing_arxiv_id":"2604.06301","citing_title":"$c=1$ strings as a matrix integral","ref_index":58,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/MSHGPA733ROZMDTY726QAKW7H5","json":"https://pith.science/pith/MSHGPA733ROZMDTY726QAKW7H5.json","graph_json":"https://pith.science/api/pith-number/MSHGPA733ROZMDTY726QAKW7H5/graph.json","events_json":"https://pith.science/api/pith-number/MSHGPA733ROZMDTY726QAKW7H5/events.json","paper":"https://pith.science/paper/MSHGPA73"},"agent_actions":{"view_html":"https://pith.science/pith/MSHGPA733ROZMDTY726QAKW7H5","download_json":"https://pith.science/pith/MSHGPA733ROZMDTY726QAKW7H5.json","view_paper":"https://pith.science/paper/MSHGPA73","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2302.12733&json=true","fetch_graph":"https://pith.science/api/pith-number/MSHGPA733ROZMDTY726QAKW7H5/graph.json","fetch_events":"https://pith.science/api/pith-number/MSHGPA733ROZMDTY726QAKW7H5/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/MSHGPA733ROZMDTY726QAKW7H5/action/timestamp_anchor","attest_storage":"https://pith.science/pith/MSHGPA733ROZMDTY726QAKW7H5/action/storage_attestation","attest_author":"https://pith.science/pith/MSHGPA733ROZMDTY726QAKW7H5/action/author_attestation","sign_citation":"https://pith.science/pith/MSHGPA733ROZMDTY726QAKW7H5/action/citation_signature","submit_replication":"https://pith.science/pith/MSHGPA733ROZMDTY726QAKW7H5/action/replication_record"}},"created_at":"2026-07-05T06:54:14.746048+00:00","updated_at":"2026-07-05T06:54:14.746048+00:00"}