{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:RLSTNDGSO2M5H6X6RNI6LNX3JD","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":"855e23a1a86813083bd6fd34ae63cb1a5c747af96a3f61e7b61c8b929d2a2041","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2016-10-30T18:44:05Z","title_canon_sha256":"dd3ad2da690fc0668e366beccd277f8bbf7e65e3ab3580df72d66188127459c4"},"schema_version":"1.0","source":{"id":"1610.09693","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1610.09693","created_at":"2026-05-18T00:23:09Z"},{"alias_kind":"arxiv_version","alias_value":"1610.09693v4","created_at":"2026-05-18T00:23:09Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1610.09693","created_at":"2026-05-18T00:23:09Z"},{"alias_kind":"pith_short_12","alias_value":"RLSTNDGSO2M5","created_at":"2026-05-18T12:30:41Z"},{"alias_kind":"pith_short_16","alias_value":"RLSTNDGSO2M5H6X6","created_at":"2026-05-18T12:30:41Z"},{"alias_kind":"pith_short_8","alias_value":"RLSTNDGS","created_at":"2026-05-18T12:30:41Z"}],"graph_snapshots":[{"event_id":"sha256:8c09530b63a7c3efbc5bc03dd335178a10e6ade378ce1187687345eefb3a6c5a","target":"graph","created_at":"2026-05-18T00:23:09Z","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":"In this paper we consider tree-level gauge invariant off-shell amplitudes (Wilson line form factors) in $\\mathcal{N}=4$ SYM with arbitrary number of off-shell gluons or equivalently Wilson line operator insertions. We make a conjecture for the Grassmannian integral representation for such objects and verify our conjecture on several examples. It is remarkable that in our formulation one can consider situation when on-shell particles are not present at all, i.e. we have Grassmannian integral representation for purely off-shell object. In addition we show that off-shell amplitude with arbitrary ","authors_text":"A.I. Onishchenko, L.V. Bork","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2016-10-30T18:44:05Z","title":"Grassmannian Integral for General Gauge Invariant Off-shell Amplitudes in N=4 SYM"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1610.09693","kind":"arxiv","version":4},"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":"sha256:3c420876f45837425424d8f2d0c97b801bde0cf9a5db63828e0700b052a1ee5f","target":"record","created_at":"2026-05-18T00:23:09Z","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":"855e23a1a86813083bd6fd34ae63cb1a5c747af96a3f61e7b61c8b929d2a2041","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2016-10-30T18:44:05Z","title_canon_sha256":"dd3ad2da690fc0668e366beccd277f8bbf7e65e3ab3580df72d66188127459c4"},"schema_version":"1.0","source":{"id":"1610.09693","kind":"arxiv","version":4}},"canonical_sha256":"8ae5368cd27699d3fafe8b51e5b6fb48d1e4c650b9577a059117112807c70501","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8ae5368cd27699d3fafe8b51e5b6fb48d1e4c650b9577a059117112807c70501","first_computed_at":"2026-05-18T00:23:09.294349Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:23:09.294349Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"TAfScMmVzlH7p36RLceZgMH2kU0/ahYP2luh2Ri//PiD4VG1RWDOTjDpevhDXHb159c9uagtB+TNHJuIo4BaCA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:23:09.295147Z","signed_message":"canonical_sha256_bytes"},"source_id":"1610.09693","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3c420876f45837425424d8f2d0c97b801bde0cf9a5db63828e0700b052a1ee5f","sha256:8c09530b63a7c3efbc5bc03dd335178a10e6ade378ce1187687345eefb3a6c5a"],"state_sha256":"7f642d9745e04f165865ce77ddc69fd52524c4862c628d6370623223544ecb36"}