{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:5UVUEKKKEBORFZDQNQHFSYCHAN","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":"389325b411e86a8d7d437c1a51e6fe418ea0f75d440ea0fd620899db6e07130c","cross_cats_sorted":["math-ph","math.AG","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2016-03-03T04:48:53Z","title_canon_sha256":"0c730dbe6657b3c0c2efccb16d72c913ba355d5b516915b1637d5c1eb3a5cc66"},"schema_version":"1.0","source":{"id":"1603.00972","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1603.00972","created_at":"2026-05-17T23:48:23Z"},{"alias_kind":"arxiv_version","alias_value":"1603.00972v4","created_at":"2026-05-17T23:48:23Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1603.00972","created_at":"2026-05-17T23:48:23Z"},{"alias_kind":"pith_short_12","alias_value":"5UVUEKKKEBOR","created_at":"2026-05-18T12:30:01Z"},{"alias_kind":"pith_short_16","alias_value":"5UVUEKKKEBORFZDQ","created_at":"2026-05-18T12:30:01Z"},{"alias_kind":"pith_short_8","alias_value":"5UVUEKKK","created_at":"2026-05-18T12:30:01Z"}],"graph_snapshots":[{"event_id":"sha256:6e18b3d89ab2230870953aeb58398cc61c6b9179e8a3878cd6c6546d8b92693b","target":"graph","created_at":"2026-05-17T23:48:23Z","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":"Kontsevich and Soibelman defined the notion of Donaldson-Thomas invariants of a 3d Calabi-Yau category with a stability condition. A family of examples of such categories can be constructed from an arbitrary cluster variety. The corresponding Donaldson-Thomas invariants are encoded by a special formal automorphism of the cluster variety, known as Donaldson-Thomas transformation.\n  Fix two integers $m$ and $n$ with $1<m<m+1<n$. It is known that the configuration space $\\mathrm{Conf}_n(\\mathbb{P}^{m-1})$, closely related to Grassmannian $\\mathrm{Gr}_m(n)$, is a cluster Poisson variety. In this p","authors_text":"Daping Weng","cross_cats":["math-ph","math.AG","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2016-03-03T04:48:53Z","title":"Donaldson-Thomas Transformation of Grassmannian"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1603.00972","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":"sha256:625d80ee098ea190694629b99bff12931a5d7849ccf9efb1d6f879eca77f8bde","target":"record","created_at":"2026-05-17T23:48:23Z","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":"389325b411e86a8d7d437c1a51e6fe418ea0f75d440ea0fd620899db6e07130c","cross_cats_sorted":["math-ph","math.AG","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2016-03-03T04:48:53Z","title_canon_sha256":"0c730dbe6657b3c0c2efccb16d72c913ba355d5b516915b1637d5c1eb3a5cc66"},"schema_version":"1.0","source":{"id":"1603.00972","kind":"arxiv","version":4}},"canonical_sha256":"ed2b42294a205d12e4706c0e596047037c2b0b88d0e75a67c47ca557cc7eb102","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ed2b42294a205d12e4706c0e596047037c2b0b88d0e75a67c47ca557cc7eb102","first_computed_at":"2026-05-17T23:48:23.068897Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:48:23.068897Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"l2SWbB2rxCHkFwP70rm+qlC0rE0sfKdUzXGGM9N6oWTBfUF+55igU+FViVduRVmmFnDVUT4OkVlgiZJbBjOcBA==","signature_status":"signed_v1","signed_at":"2026-05-17T23:48:23.069337Z","signed_message":"canonical_sha256_bytes"},"source_id":"1603.00972","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:625d80ee098ea190694629b99bff12931a5d7849ccf9efb1d6f879eca77f8bde","sha256:6e18b3d89ab2230870953aeb58398cc61c6b9179e8a3878cd6c6546d8b92693b"],"state_sha256":"0bf2658a0d255ed4ccce2483f6efc2937a2e3daf76b38160404f329e98155e16"}