{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2025:EQP6W3ZFKY4PYGFYMIDDTM64P7","short_pith_number":"pith:EQP6W3ZF","schema_version":"1.0","canonical_sha256":"241feb6f255638fc18b8620639b3dc7fdb160aaf359744908a9957f262cba2c8","source":{"kind":"arxiv","id":"2512.20790","version":2},"attestation_state":"computed","paper":{"title":"On-shell representation and further instances of the 2-split behavior of amplitudes","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Humberto Gomez, Renann Lipinski Jusinskas, Thales Azevedo","submitted_at":"2025-12-23T21:37:11Z","abstract_excerpt":"The newly discovered splitting behavior of tree-level scattering amplitudes of particles and strings has been expressed in terms of currents containing one off-shell leg. In this work, we explain how to obtain on-shell representations of the split amplitudes in different theories. Furthermore, we show that this 2-split behavior is also verified in gauge and gravity theories involving higher-dimensional operators, thereby providing additional evidence to its universal character. As a byproduct, we also generalize the transmuting operators to amplitudes in higher-derivative theories."},"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":"2512.20790","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2025-12-23T21:37:11Z","cross_cats_sorted":[],"title_canon_sha256":"0b44396da1af337facfbb318d87d06fbea6df8a77a1eee2a9aca3b4200e1c4b6","abstract_canon_sha256":"cb9c7775e49e64961f3fe82bfbbfc3b4791ea1c6230a0a58d4e62c08283ab5e5"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-06-09T02:07:15.980460Z","signature_b64":"o3kf99dVtWYEmisV/fCBJw60NqygJNVFyGXt6+GC4NPXxwb0XmURjG1sDvTJ2kP4KbFVudU3zxBW0LUEtS+8BA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"241feb6f255638fc18b8620639b3dc7fdb160aaf359744908a9957f262cba2c8","last_reissued_at":"2026-06-09T02:07:15.979815Z","signature_status":"signed_v1","first_computed_at":"2026-06-09T02:07:15.979815Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"On-shell representation and further instances of the 2-split behavior of amplitudes","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Humberto Gomez, Renann Lipinski Jusinskas, Thales Azevedo","submitted_at":"2025-12-23T21:37:11Z","abstract_excerpt":"The newly discovered splitting behavior of tree-level scattering amplitudes of particles and strings has been expressed in terms of currents containing one off-shell leg. In this work, we explain how to obtain on-shell representations of the split amplitudes in different theories. Furthermore, we show that this 2-split behavior is also verified in gauge and gravity theories involving higher-dimensional operators, thereby providing additional evidence to its universal character. As a byproduct, we also generalize the transmuting operators to amplitudes in higher-derivative theories."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2512.20790","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/2512.20790/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":"2512.20790","created_at":"2026-06-09T02:07:15.979890+00:00"},{"alias_kind":"arxiv_version","alias_value":"2512.20790v2","created_at":"2026-06-09T02:07:15.979890+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2512.20790","created_at":"2026-06-09T02:07:15.979890+00:00"},{"alias_kind":"pith_short_12","alias_value":"EQP6W3ZFKY4P","created_at":"2026-06-09T02:07:15.979890+00:00"},{"alias_kind":"pith_short_16","alias_value":"EQP6W3ZFKY4PYGFY","created_at":"2026-06-09T02:07:15.979890+00:00"},{"alias_kind":"pith_short_8","alias_value":"EQP6W3ZF","created_at":"2026-06-09T02:07:15.979890+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":2,"internal_anchor_count":2,"sample":[{"citing_arxiv_id":"2604.23680","citing_title":"Universal Interpretation of Hidden Zero and $2$-Split of Tree-Level Amplitudes Using Feynman Diagrams, Part $\\mathbf{I}$: ${\\rm Tr}(\\phi^3)$, NLSM and YM","ref_index":26,"is_internal_anchor":true},{"citing_arxiv_id":"2604.13810","citing_title":"Towards New Hidden Zero and $2$-Split of Loop-Level Feynman Integrands in ${\\rm Tr}(\\phi^3)$ Model","ref_index":19,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/EQP6W3ZFKY4PYGFYMIDDTM64P7","json":"https://pith.science/pith/EQP6W3ZFKY4PYGFYMIDDTM64P7.json","graph_json":"https://pith.science/api/pith-number/EQP6W3ZFKY4PYGFYMIDDTM64P7/graph.json","events_json":"https://pith.science/api/pith-number/EQP6W3ZFKY4PYGFYMIDDTM64P7/events.json","paper":"https://pith.science/paper/EQP6W3ZF"},"agent_actions":{"view_html":"https://pith.science/pith/EQP6W3ZFKY4PYGFYMIDDTM64P7","download_json":"https://pith.science/pith/EQP6W3ZFKY4PYGFYMIDDTM64P7.json","view_paper":"https://pith.science/paper/EQP6W3ZF","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2512.20790&json=true","fetch_graph":"https://pith.science/api/pith-number/EQP6W3ZFKY4PYGFYMIDDTM64P7/graph.json","fetch_events":"https://pith.science/api/pith-number/EQP6W3ZFKY4PYGFYMIDDTM64P7/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/EQP6W3ZFKY4PYGFYMIDDTM64P7/action/timestamp_anchor","attest_storage":"https://pith.science/pith/EQP6W3ZFKY4PYGFYMIDDTM64P7/action/storage_attestation","attest_author":"https://pith.science/pith/EQP6W3ZFKY4PYGFYMIDDTM64P7/action/author_attestation","sign_citation":"https://pith.science/pith/EQP6W3ZFKY4PYGFYMIDDTM64P7/action/citation_signature","submit_replication":"https://pith.science/pith/EQP6W3ZFKY4PYGFYMIDDTM64P7/action/replication_record"}},"created_at":"2026-06-09T02:07:15.979890+00:00","updated_at":"2026-06-09T02:07:15.979890+00:00"}