{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2022:UPPI3M5RJIFSKSIOIE7MTGVAYV","short_pith_number":"pith:UPPI3M5R","schema_version":"1.0","canonical_sha256":"a3de8db3b14a0b25490e413ec99aa0c56733649ec1cb4703fc8b555eaad44ee6","source":{"kind":"arxiv","id":"2208.01060","version":3},"attestation_state":"computed","paper":{"title":"Amplitudes within causal loop-tree duality","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-ph"],"primary_cat":"hep-th","authors_text":"Niklas Schwanemann, Sascha Kromin, Stefan Weinzierl","submitted_at":"2022-08-01T18:00:17Z","abstract_excerpt":"We study scalar one-loop amplitudes in massive $\\phi^3$-theory within causal loop-tree duality. We derive a recurrence relation for the integrand of the amplitude. The integrand is by construction free of spurious singularities on H-surfaces. Taking renormalisation and contour deformation into account, we obtain the (integrated) amplitude by Monte Carlo integration. We have checked up to seven points that our results agree with analytic results."},"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":"2208.01060","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2022-08-01T18:00:17Z","cross_cats_sorted":["hep-ph"],"title_canon_sha256":"c685609ac9809cf5b73a61fea64f5c6fbe92f9ed7bc3f6a2b52f80faa5a0554a","abstract_canon_sha256":"fb362e1e0ba2f9db370f131f485d153386f2fd19fb940f83f5f2b832d608a178"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T05:03:51.858102Z","signature_b64":"W4aLI30ZMwNPn0P5CiXK1C0Devuu10u7dRe/YOdd1cGFx75XMEX6ZiSwM4aFAsayonHHKmfjdHC2VZl0MNm7CA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a3de8db3b14a0b25490e413ec99aa0c56733649ec1cb4703fc8b555eaad44ee6","last_reissued_at":"2026-07-05T05:03:51.857670Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T05:03:51.857670Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Amplitudes within causal loop-tree duality","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-ph"],"primary_cat":"hep-th","authors_text":"Niklas Schwanemann, Sascha Kromin, Stefan Weinzierl","submitted_at":"2022-08-01T18:00:17Z","abstract_excerpt":"We study scalar one-loop amplitudes in massive $\\phi^3$-theory within causal loop-tree duality. We derive a recurrence relation for the integrand of the amplitude. The integrand is by construction free of spurious singularities on H-surfaces. Taking renormalisation and contour deformation into account, we obtain the (integrated) amplitude by Monte Carlo integration. We have checked up to seven points that our results agree with analytic results."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2208.01060","kind":"arxiv","version":3},"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/2208.01060/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":"2208.01060","created_at":"2026-07-05T05:03:51.857735+00:00"},{"alias_kind":"arxiv_version","alias_value":"2208.01060v3","created_at":"2026-07-05T05:03:51.857735+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2208.01060","created_at":"2026-07-05T05:03:51.857735+00:00"},{"alias_kind":"pith_short_12","alias_value":"UPPI3M5RJIFS","created_at":"2026-07-05T05:03:51.857735+00:00"},{"alias_kind":"pith_short_16","alias_value":"UPPI3M5RJIFSKSIO","created_at":"2026-07-05T05:03:51.857735+00:00"},{"alias_kind":"pith_short_8","alias_value":"UPPI3M5R","created_at":"2026-07-05T05:03:51.857735+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2509.07805","citing_title":"General finite two-loop amplitude integrand for photoproduction in quark annihilation","ref_index":36,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/UPPI3M5RJIFSKSIOIE7MTGVAYV","json":"https://pith.science/pith/UPPI3M5RJIFSKSIOIE7MTGVAYV.json","graph_json":"https://pith.science/api/pith-number/UPPI3M5RJIFSKSIOIE7MTGVAYV/graph.json","events_json":"https://pith.science/api/pith-number/UPPI3M5RJIFSKSIOIE7MTGVAYV/events.json","paper":"https://pith.science/paper/UPPI3M5R"},"agent_actions":{"view_html":"https://pith.science/pith/UPPI3M5RJIFSKSIOIE7MTGVAYV","download_json":"https://pith.science/pith/UPPI3M5RJIFSKSIOIE7MTGVAYV.json","view_paper":"https://pith.science/paper/UPPI3M5R","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2208.01060&json=true","fetch_graph":"https://pith.science/api/pith-number/UPPI3M5RJIFSKSIOIE7MTGVAYV/graph.json","fetch_events":"https://pith.science/api/pith-number/UPPI3M5RJIFSKSIOIE7MTGVAYV/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/UPPI3M5RJIFSKSIOIE7MTGVAYV/action/timestamp_anchor","attest_storage":"https://pith.science/pith/UPPI3M5RJIFSKSIOIE7MTGVAYV/action/storage_attestation","attest_author":"https://pith.science/pith/UPPI3M5RJIFSKSIOIE7MTGVAYV/action/author_attestation","sign_citation":"https://pith.science/pith/UPPI3M5RJIFSKSIOIE7MTGVAYV/action/citation_signature","submit_replication":"https://pith.science/pith/UPPI3M5RJIFSKSIOIE7MTGVAYV/action/replication_record"}},"created_at":"2026-07-05T05:03:51.857735+00:00","updated_at":"2026-07-05T05:03:51.857735+00:00"}