{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:LLLSH37RC6QYVCBUHMC4EOK77E","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":"204a84d29cf43c32b42c72bb8096be34a8d31b3a67165d8867fd5f1e539a3776","cross_cats_sorted":["math.SG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2013-10-09T11:34:40Z","title_canon_sha256":"23e6dbfbc56aef98124c24c140bbd655fd2d6f6fa9fb5ad8e0931ea1f34508ee"},"schema_version":"1.0","source":{"id":"1310.2436","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1310.2436","created_at":"2026-05-18T02:48:01Z"},{"alias_kind":"arxiv_version","alias_value":"1310.2436v4","created_at":"2026-05-18T02:48:01Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1310.2436","created_at":"2026-05-18T02:48:01Z"},{"alias_kind":"pith_short_12","alias_value":"LLLSH37RC6QY","created_at":"2026-05-18T12:27:51Z"},{"alias_kind":"pith_short_16","alias_value":"LLLSH37RC6QYVCBU","created_at":"2026-05-18T12:27:51Z"},{"alias_kind":"pith_short_8","alias_value":"LLLSH37R","created_at":"2026-05-18T12:27:51Z"}],"graph_snapshots":[{"event_id":"sha256:cf3654ab4df85c40ed32aa0e656b16a0215c3786ee0caf7760e270e59555e18e","target":"graph","created_at":"2026-05-18T02:48:01Z","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":"Let $X$ be a toric Fano manifold and denote by $Crit(f_X) \\subset (\\mathbb{C}^{\\ast})^n$ the solution scheme of the corresponding Landau-Ginzburg system of equations. For toric Del-Pezzo surfaces and various toric Fano threefolds we define a map $L : Crit(f_X) \\rightarrow Pic(X)$ such that $\\mathcal{E}_L(X) : = L(Crit(f_X)) \\subset Pic(X)$ is a full strongly exceptional collection of line bundles. We observe the existence of a natural monodromy map $$ M : \\pi_1(L(X) \\setminus R_X,f_X) \\rightarrow Aut(Crit(f_X))$$ where $L(X)$ is the space of all Laurent polynomials whose Newton polytope is equ","authors_text":"Yochay Jerby","cross_cats":["math.SG"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2013-10-09T11:34:40Z","title":"On Landau-Ginzburg systems, Quivers and Monodromy"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1310.2436","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:f996ead8e61d3dd97cdc48b57b1fd8746a9e82911cbb9019e497b2bebcc3b464","target":"record","created_at":"2026-05-18T02:48:01Z","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":"204a84d29cf43c32b42c72bb8096be34a8d31b3a67165d8867fd5f1e539a3776","cross_cats_sorted":["math.SG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2013-10-09T11:34:40Z","title_canon_sha256":"23e6dbfbc56aef98124c24c140bbd655fd2d6f6fa9fb5ad8e0931ea1f34508ee"},"schema_version":"1.0","source":{"id":"1310.2436","kind":"arxiv","version":4}},"canonical_sha256":"5ad723eff117a18a88343b05c2395ff91084711576a47db87d9c1e8e097b13ae","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5ad723eff117a18a88343b05c2395ff91084711576a47db87d9c1e8e097b13ae","first_computed_at":"2026-05-18T02:48:01.025524Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:48:01.025524Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"blNQ4RyoU177D48/eXDHAoaYa0hlr6WN7l4aGTNtbe/IOcOTzzQCcX4y31ezmKLK9Muobfibatpn5u/36okTDA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:48:01.026059Z","signed_message":"canonical_sha256_bytes"},"source_id":"1310.2436","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f996ead8e61d3dd97cdc48b57b1fd8746a9e82911cbb9019e497b2bebcc3b464","sha256:cf3654ab4df85c40ed32aa0e656b16a0215c3786ee0caf7760e270e59555e18e"],"state_sha256":"43c1ec19ff77415a944e6342fe3f78dcf2a816242f53b2ac6483bd6ddfa6feb8"}