{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:UXREU7A6GJ5ECGPK7AS6W465K7","short_pith_number":"pith:UXREU7A6","canonical_record":{"source":{"id":"1601.04634","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2016-01-18T18:10:19Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"41d9347fd986187e4ea8e0ffe8f1c4adec84bbb58857e3158e8fcaaff9590886","abstract_canon_sha256":"6d4c80c1b90a70ec5c63aa148b285e6eb42d5be5d7dd4a5d6ce3615e789b6177"},"schema_version":"1.0"},"canonical_sha256":"a5e24a7c1e327a4119eaf825eb73dd57c45a53ef47235cb21cef9925fce677e1","source":{"kind":"arxiv","id":"1601.04634","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1601.04634","created_at":"2026-05-18T01:22:16Z"},{"alias_kind":"arxiv_version","alias_value":"1601.04634v1","created_at":"2026-05-18T01:22:16Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1601.04634","created_at":"2026-05-18T01:22:16Z"},{"alias_kind":"pith_short_12","alias_value":"UXREU7A6GJ5E","created_at":"2026-05-18T12:30:46Z"},{"alias_kind":"pith_short_16","alias_value":"UXREU7A6GJ5ECGPK","created_at":"2026-05-18T12:30:46Z"},{"alias_kind":"pith_short_8","alias_value":"UXREU7A6","created_at":"2026-05-18T12:30:46Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:UXREU7A6GJ5ECGPK7AS6W465K7","target":"record","payload":{"canonical_record":{"source":{"id":"1601.04634","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2016-01-18T18:10:19Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"41d9347fd986187e4ea8e0ffe8f1c4adec84bbb58857e3158e8fcaaff9590886","abstract_canon_sha256":"6d4c80c1b90a70ec5c63aa148b285e6eb42d5be5d7dd4a5d6ce3615e789b6177"},"schema_version":"1.0"},"canonical_sha256":"a5e24a7c1e327a4119eaf825eb73dd57c45a53ef47235cb21cef9925fce677e1","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:22:16.220194Z","signature_b64":"hdhbyo50ak4stMq1vtPuFVi4RoPMALyGVjDfbB2A2BXsKV4i3RLgPvGdFwgUEkMJY5fHNJdCXQx0vasr52kTBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a5e24a7c1e327a4119eaf825eb73dd57c45a53ef47235cb21cef9925fce677e1","last_reissued_at":"2026-05-18T01:22:16.219598Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:22:16.219598Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1601.04634","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:22:16Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ZcwsByV0IXAXZpgYDdPXkI1STD/qkdmoMfb7RbVJwk2I2mp0hkVESFseHVioYbA9p/QrJ15kjY9f6mS6XD5vAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-09T19:21:37.686341Z"},"content_sha256":"1e5eaae14209512dab843e8e719c79fc68fc62cb6e983d41ac02014ed80d6578","schema_version":"1.0","event_id":"sha256:1e5eaae14209512dab843e8e719c79fc68fc62cb6e983d41ac02014ed80d6578"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:UXREU7A6GJ5ECGPK7AS6W465K7","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Loop-tree duality and quantum field theory in four dimensions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th"],"primary_cat":"hep-ph","authors_text":"German F. R. Sborlini","submitted_at":"2016-01-18T18:10:19Z","abstract_excerpt":"Loop-tree duality allows to express virtual contributions in terms of phase-space integrals, thus leading to a direct comparison with real radiation terms. In this talk, we review the basis of the method and describe its application to regularize Feynman integrals. Performing an integrand-level combination of real and virtual terms, we obtain finite contributions that can be computed in four-dimensions. Moreover, this method provides a natural physical interpretation of infrared singularities, their origin and the way that they cancel in the complete computation."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1601.04634","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":""},"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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:22:16Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"y7Sx+TTC/k6ejkbEF8M/WfT87txEsgVKZLbmWeYWFZOWr4b7rCRJjY370a/QPt/24obz+d0O4a1l3nl+MrxYBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-09T19:21:37.687041Z"},"content_sha256":"af54038f2c759165a2770571584109f69ca372e7fd645f5ae896e19ddc3911db","schema_version":"1.0","event_id":"sha256:af54038f2c759165a2770571584109f69ca372e7fd645f5ae896e19ddc3911db"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/UXREU7A6GJ5ECGPK7AS6W465K7/bundle.json","state_url":"https://pith.science/pith/UXREU7A6GJ5ECGPK7AS6W465K7/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/UXREU7A6GJ5ECGPK7AS6W465K7/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-06-09T19:21:37Z","links":{"resolver":"https://pith.science/pith/UXREU7A6GJ5ECGPK7AS6W465K7","bundle":"https://pith.science/pith/UXREU7A6GJ5ECGPK7AS6W465K7/bundle.json","state":"https://pith.science/pith/UXREU7A6GJ5ECGPK7AS6W465K7/state.json","well_known_bundle":"https://pith.science/.well-known/pith/UXREU7A6GJ5ECGPK7AS6W465K7/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:UXREU7A6GJ5ECGPK7AS6W465K7","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"6d4c80c1b90a70ec5c63aa148b285e6eb42d5be5d7dd4a5d6ce3615e789b6177","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2016-01-18T18:10:19Z","title_canon_sha256":"41d9347fd986187e4ea8e0ffe8f1c4adec84bbb58857e3158e8fcaaff9590886"},"schema_version":"1.0","source":{"id":"1601.04634","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1601.04634","created_at":"2026-05-18T01:22:16Z"},{"alias_kind":"arxiv_version","alias_value":"1601.04634v1","created_at":"2026-05-18T01:22:16Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1601.04634","created_at":"2026-05-18T01:22:16Z"},{"alias_kind":"pith_short_12","alias_value":"UXREU7A6GJ5E","created_at":"2026-05-18T12:30:46Z"},{"alias_kind":"pith_short_16","alias_value":"UXREU7A6GJ5ECGPK","created_at":"2026-05-18T12:30:46Z"},{"alias_kind":"pith_short_8","alias_value":"UXREU7A6","created_at":"2026-05-18T12:30:46Z"}],"graph_snapshots":[{"event_id":"sha256:af54038f2c759165a2770571584109f69ca372e7fd645f5ae896e19ddc3911db","target":"graph","created_at":"2026-05-18T01:22:16Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"Loop-tree duality allows to express virtual contributions in terms of phase-space integrals, thus leading to a direct comparison with real radiation terms. In this talk, we review the basis of the method and describe its application to regularize Feynman integrals. Performing an integrand-level combination of real and virtual terms, we obtain finite contributions that can be computed in four-dimensions. Moreover, this method provides a natural physical interpretation of infrared singularities, their origin and the way that they cancel in the complete computation.","authors_text":"German F. R. Sborlini","cross_cats":["hep-th"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2016-01-18T18:10:19Z","title":"Loop-tree duality and quantum field theory in four dimensions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1601.04634","kind":"arxiv","version":1},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:1e5eaae14209512dab843e8e719c79fc68fc62cb6e983d41ac02014ed80d6578","target":"record","created_at":"2026-05-18T01:22:16Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"6d4c80c1b90a70ec5c63aa148b285e6eb42d5be5d7dd4a5d6ce3615e789b6177","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2016-01-18T18:10:19Z","title_canon_sha256":"41d9347fd986187e4ea8e0ffe8f1c4adec84bbb58857e3158e8fcaaff9590886"},"schema_version":"1.0","source":{"id":"1601.04634","kind":"arxiv","version":1}},"canonical_sha256":"a5e24a7c1e327a4119eaf825eb73dd57c45a53ef47235cb21cef9925fce677e1","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a5e24a7c1e327a4119eaf825eb73dd57c45a53ef47235cb21cef9925fce677e1","first_computed_at":"2026-05-18T01:22:16.219598Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:22:16.219598Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"hdhbyo50ak4stMq1vtPuFVi4RoPMALyGVjDfbB2A2BXsKV4i3RLgPvGdFwgUEkMJY5fHNJdCXQx0vasr52kTBw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:22:16.220194Z","signed_message":"canonical_sha256_bytes"},"source_id":"1601.04634","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1e5eaae14209512dab843e8e719c79fc68fc62cb6e983d41ac02014ed80d6578","sha256:af54038f2c759165a2770571584109f69ca372e7fd645f5ae896e19ddc3911db"],"state_sha256":"ba6080542b28118df321e403da19c229d38359d5f5ee14edd7d37879defe1e86"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"9+lCr1v+KHOWFXFTTCHKBU0q3kSKB7fYF3y8lcEto9cxjopaSSBs+gA+jzCj94nVeQvWrCodFLXWT0Us87v2BA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-09T19:21:37.691242Z","bundle_sha256":"cb34509e264799cbae63fd487a59b884fa84a4dacc57bbd6fea2fd81a87059ca"}}