{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:HFHVXBD23GYJZ3S7JC7T5ZBGSG","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":"8aff9e4bf10ce28f9510410383a81d2f03d765851e6251fd65f0634dfee0f475","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2016-09-07T10:34:34Z","title_canon_sha256":"263a3fb3197911132707dcebc02f1757eb7f03bb7f81051b6b73e55c15041549"},"schema_version":"1.0","source":{"id":"1609.01923","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1609.01923","created_at":"2026-05-18T00:26:01Z"},{"alias_kind":"arxiv_version","alias_value":"1609.01923v1","created_at":"2026-05-18T00:26:01Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1609.01923","created_at":"2026-05-18T00:26:01Z"},{"alias_kind":"pith_short_12","alias_value":"HFHVXBD23GYJ","created_at":"2026-05-18T12:30:19Z"},{"alias_kind":"pith_short_16","alias_value":"HFHVXBD23GYJZ3S7","created_at":"2026-05-18T12:30:19Z"},{"alias_kind":"pith_short_8","alias_value":"HFHVXBD2","created_at":"2026-05-18T12:30:19Z"}],"graph_snapshots":[{"event_id":"sha256:144f37f07f2aefb5a21fc25c40f5693a3e71124202bfe68df33148462215af2b","target":"graph","created_at":"2026-05-18T00:26:01Z","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":"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 ","authors_text":"David Gordo, Paolo Benincasa","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2016-09-07T10:34:34Z","title":"On-shell diagrams and the geometry of planar N < 4 SYM theories"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1609.01923","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":"sha256:8a6c17c2f09c85f0aaa5dc9d71ede49edda84b3d042ead439d1ad2126f13ea63","target":"record","created_at":"2026-05-18T00:26:01Z","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":"8aff9e4bf10ce28f9510410383a81d2f03d765851e6251fd65f0634dfee0f475","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2016-09-07T10:34:34Z","title_canon_sha256":"263a3fb3197911132707dcebc02f1757eb7f03bb7f81051b6b73e55c15041549"},"schema_version":"1.0","source":{"id":"1609.01923","kind":"arxiv","version":1}},"canonical_sha256":"394f5b847ad9b09cee5f48bf3ee42691bc20c5bd252f545bb311f5a24a193eee","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"394f5b847ad9b09cee5f48bf3ee42691bc20c5bd252f545bb311f5a24a193eee","first_computed_at":"2026-05-18T00:26:01.896360Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:26:01.896360Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ZeuVzzKzg6R5jJC8ZsKOWx/MdxDcs+ok20vdB8v78BOudzHRVLUIX4qbWGf4LnkoE1Ob2p0Pf70WZgMF/LqaBA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:26:01.897056Z","signed_message":"canonical_sha256_bytes"},"source_id":"1609.01923","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8a6c17c2f09c85f0aaa5dc9d71ede49edda84b3d042ead439d1ad2126f13ea63","sha256:144f37f07f2aefb5a21fc25c40f5693a3e71124202bfe68df33148462215af2b"],"state_sha256":"27c9b7d5b76e31d71aed3bc8e991c87b90da46f9b57acb1162d7c57aa4b7d770"}