{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2022:SQCGSFN2HCNK3H2J4F5UL3744H","short_pith_number":"pith:SQCGSFN2","schema_version":"1.0","canonical_sha256":"94046915ba389aad9f49e17b45effce1ef28f223c91c6a98af766f4060c8adc3","source":{"kind":"arxiv","id":"2204.08297","version":3},"attestation_state":"computed","paper":{"title":"All-Loop Four-Point Aharony-Bergman-Jafferis-Maldacena Amplitudes from Dimensional Reduction of the Amplituhedron","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Chia-Kai Kuo, Song He, Yao-Qi Zhang, Zhenjie Li","submitted_at":"2022-04-18T12:58:04Z","abstract_excerpt":"We define a new geometry obtained from the all-loop amplituhedron in ${\\cal N}=4$ SYM by reducing its four-dimensional external and loop momenta to three dimensions. Focusing on the simplest four-point case, we provide strong evidence that the canonical form of this ``reduced amplituhedron\" gives the all-loop integrand of the ABJM four-point amplitude. In addition to various all-loop cuts manifested by the geometry, we present explicitly new results for the integrand up to five loops, which are much simpler than results in ${\\cal N}=4$ SYM. One of the reasons for such all-loop simplifications "},"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":"2204.08297","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2022-04-18T12:58:04Z","cross_cats_sorted":[],"title_canon_sha256":"35189f86312c686c872e2bcdbd995faa978eddf53adbd2f697ca57216175cc22","abstract_canon_sha256":"819834a21063ac49df6dc9620e915606d108b0bec7e4e4f81a2c3f0e00942410"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T05:34:00.268763Z","signature_b64":"9lQBrTyj5AvQZuVrSg7a9FmIZoV1/GlCNgSM0MNDXdZ954+dwa1XYHSCk9wwzdV0Jd0mv9yCS0Xw2l+uYp/HCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"94046915ba389aad9f49e17b45effce1ef28f223c91c6a98af766f4060c8adc3","last_reissued_at":"2026-07-05T05:34:00.268221Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T05:34:00.268221Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"All-Loop Four-Point Aharony-Bergman-Jafferis-Maldacena Amplitudes from Dimensional Reduction of the Amplituhedron","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Chia-Kai Kuo, Song He, Yao-Qi Zhang, Zhenjie Li","submitted_at":"2022-04-18T12:58:04Z","abstract_excerpt":"We define a new geometry obtained from the all-loop amplituhedron in ${\\cal N}=4$ SYM by reducing its four-dimensional external and loop momenta to three dimensions. Focusing on the simplest four-point case, we provide strong evidence that the canonical form of this ``reduced amplituhedron\" gives the all-loop integrand of the ABJM four-point amplitude. In addition to various all-loop cuts manifested by the geometry, we present explicitly new results for the integrand up to five loops, which are much simpler than results in ${\\cal N}=4$ SYM. One of the reasons for such all-loop simplifications "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2204.08297","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/2204.08297/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":"2204.08297","created_at":"2026-07-05T05:34:00.268281+00:00"},{"alias_kind":"arxiv_version","alias_value":"2204.08297v3","created_at":"2026-07-05T05:34:00.268281+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2204.08297","created_at":"2026-07-05T05:34:00.268281+00:00"},{"alias_kind":"pith_short_12","alias_value":"SQCGSFN2HCNK","created_at":"2026-07-05T05:34:00.268281+00:00"},{"alias_kind":"pith_short_16","alias_value":"SQCGSFN2HCNK3H2J","created_at":"2026-07-05T05:34:00.268281+00:00"},{"alias_kind":"pith_short_8","alias_value":"SQCGSFN2","created_at":"2026-07-05T05:34:00.268281+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":2,"internal_anchor_count":0,"sample":[{"citing_arxiv_id":"2505.09808","citing_title":"Leading singularities and chambers of Correlahedron","ref_index":23,"is_internal_anchor":false},{"citing_arxiv_id":"2512.21947","citing_title":"Notes on off-shell conformal integrals and correlation functions at five points","ref_index":41,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/SQCGSFN2HCNK3H2J4F5UL3744H","json":"https://pith.science/pith/SQCGSFN2HCNK3H2J4F5UL3744H.json","graph_json":"https://pith.science/api/pith-number/SQCGSFN2HCNK3H2J4F5UL3744H/graph.json","events_json":"https://pith.science/api/pith-number/SQCGSFN2HCNK3H2J4F5UL3744H/events.json","paper":"https://pith.science/paper/SQCGSFN2"},"agent_actions":{"view_html":"https://pith.science/pith/SQCGSFN2HCNK3H2J4F5UL3744H","download_json":"https://pith.science/pith/SQCGSFN2HCNK3H2J4F5UL3744H.json","view_paper":"https://pith.science/paper/SQCGSFN2","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2204.08297&json=true","fetch_graph":"https://pith.science/api/pith-number/SQCGSFN2HCNK3H2J4F5UL3744H/graph.json","fetch_events":"https://pith.science/api/pith-number/SQCGSFN2HCNK3H2J4F5UL3744H/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/SQCGSFN2HCNK3H2J4F5UL3744H/action/timestamp_anchor","attest_storage":"https://pith.science/pith/SQCGSFN2HCNK3H2J4F5UL3744H/action/storage_attestation","attest_author":"https://pith.science/pith/SQCGSFN2HCNK3H2J4F5UL3744H/action/author_attestation","sign_citation":"https://pith.science/pith/SQCGSFN2HCNK3H2J4F5UL3744H/action/citation_signature","submit_replication":"https://pith.science/pith/SQCGSFN2HCNK3H2J4F5UL3744H/action/replication_record"}},"created_at":"2026-07-05T05:34:00.268281+00:00","updated_at":"2026-07-05T05:34:00.268281+00:00"}