{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:HFHVXBD23GYJZ3S7JC7T5ZBGSG","short_pith_number":"pith:HFHVXBD2","schema_version":"1.0","canonical_sha256":"394f5b847ad9b09cee5f48bf3ee42691bc20c5bd252f545bb311f5a24a193eee","source":{"kind":"arxiv","id":"1609.01923","version":1},"attestation_state":"computed","paper":{"title":"On-shell diagrams and the geometry of planar N < 4 SYM theories","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"David Gordo, Paolo Benincasa","submitted_at":"2016-09-07T10:34:34Z","abstract_excerpt":"We continue the discussion of the decorated on-shell diagrammatics for planar N < 4 Supersymmetric Yang-Mills theories started in arXiv:1510.03642. In particular, we focus on its relation with the structure of varieties on the Grassmannian. The decoration of the on-shell diagrams, which physically keeps tracks of the helicity of the coherent states propagating along their edges, defines new on-shell functions on the Grassmannian and can introduce novel higher-order singularities, which graphically are reflected into the presence of helicity loops in the diagrams. These new structures turn out "},"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":"1609.01923","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2016-09-07T10:34:34Z","cross_cats_sorted":[],"title_canon_sha256":"263a3fb3197911132707dcebc02f1757eb7f03bb7f81051b6b73e55c15041549","abstract_canon_sha256":"8aff9e4bf10ce28f9510410383a81d2f03d765851e6251fd65f0634dfee0f475"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:26:01.897056Z","signature_b64":"ZeuVzzKzg6R5jJC8ZsKOWx/MdxDcs+ok20vdB8v78BOudzHRVLUIX4qbWGf4LnkoE1Ob2p0Pf70WZgMF/LqaBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"394f5b847ad9b09cee5f48bf3ee42691bc20c5bd252f545bb311f5a24a193eee","last_reissued_at":"2026-05-18T00:26:01.896360Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:26:01.896360Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"On-shell diagrams and the geometry of planar N < 4 SYM theories","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"David Gordo, Paolo Benincasa","submitted_at":"2016-09-07T10:34:34Z","abstract_excerpt":"We continue the discussion of the decorated on-shell diagrammatics for planar N < 4 Supersymmetric Yang-Mills theories started in arXiv:1510.03642. In particular, we focus on its relation with the structure of varieties on the Grassmannian. The decoration of the on-shell diagrams, which physically keeps tracks of the helicity of the coherent states propagating along their edges, defines new on-shell functions on the Grassmannian and can introduce novel higher-order singularities, which graphically are reflected into the presence of helicity loops in the diagrams. These new structures turn out "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1609.01923","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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1609.01923","created_at":"2026-05-18T00:26:01.896477+00:00"},{"alias_kind":"arxiv_version","alias_value":"1609.01923v1","created_at":"2026-05-18T00:26:01.896477+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1609.01923","created_at":"2026-05-18T00:26:01.896477+00:00"},{"alias_kind":"pith_short_12","alias_value":"HFHVXBD23GYJ","created_at":"2026-05-18T12:30:19.053100+00:00"},{"alias_kind":"pith_short_16","alias_value":"HFHVXBD23GYJZ3S7","created_at":"2026-05-18T12:30:19.053100+00:00"},{"alias_kind":"pith_short_8","alias_value":"HFHVXBD2","created_at":"2026-05-18T12:30:19.053100+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/HFHVXBD23GYJZ3S7JC7T5ZBGSG","json":"https://pith.science/pith/HFHVXBD23GYJZ3S7JC7T5ZBGSG.json","graph_json":"https://pith.science/api/pith-number/HFHVXBD23GYJZ3S7JC7T5ZBGSG/graph.json","events_json":"https://pith.science/api/pith-number/HFHVXBD23GYJZ3S7JC7T5ZBGSG/events.json","paper":"https://pith.science/paper/HFHVXBD2"},"agent_actions":{"view_html":"https://pith.science/pith/HFHVXBD23GYJZ3S7JC7T5ZBGSG","download_json":"https://pith.science/pith/HFHVXBD23GYJZ3S7JC7T5ZBGSG.json","view_paper":"https://pith.science/paper/HFHVXBD2","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1609.01923&json=true","fetch_graph":"https://pith.science/api/pith-number/HFHVXBD23GYJZ3S7JC7T5ZBGSG/graph.json","fetch_events":"https://pith.science/api/pith-number/HFHVXBD23GYJZ3S7JC7T5ZBGSG/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/HFHVXBD23GYJZ3S7JC7T5ZBGSG/action/timestamp_anchor","attest_storage":"https://pith.science/pith/HFHVXBD23GYJZ3S7JC7T5ZBGSG/action/storage_attestation","attest_author":"https://pith.science/pith/HFHVXBD23GYJZ3S7JC7T5ZBGSG/action/author_attestation","sign_citation":"https://pith.science/pith/HFHVXBD23GYJZ3S7JC7T5ZBGSG/action/citation_signature","submit_replication":"https://pith.science/pith/HFHVXBD23GYJZ3S7JC7T5ZBGSG/action/replication_record"}},"created_at":"2026-05-18T00:26:01.896477+00:00","updated_at":"2026-05-18T00:26:01.896477+00:00"}