{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:VZYBMRM3FGGC5PXU3VLBXCUAJJ","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":"ee57b412f88a26b605c9e68438981a8d1f7c4385505120206a04ec23545bd2ee","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2019-02-11T20:35:33Z","title_canon_sha256":"ac43b8eaad99770a15cce5e2f14b7381023f847f5e2e2b3a476d6b6b71935e90"},"schema_version":"1.0","source":{"id":"1902.04136","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1902.04136","created_at":"2026-05-17T23:54:13Z"},{"alias_kind":"arxiv_version","alias_value":"1902.04136v1","created_at":"2026-05-17T23:54:13Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1902.04136","created_at":"2026-05-17T23:54:13Z"},{"alias_kind":"pith_short_12","alias_value":"VZYBMRM3FGGC","created_at":"2026-05-18T12:33:30Z"},{"alias_kind":"pith_short_16","alias_value":"VZYBMRM3FGGC5PXU","created_at":"2026-05-18T12:33:30Z"},{"alias_kind":"pith_short_8","alias_value":"VZYBMRM3","created_at":"2026-05-18T12:33:30Z"}],"graph_snapshots":[{"event_id":"sha256:264295254829a90534f40b7caa0f5872a369b7646cbe8d233011a828db34736a","target":"graph","created_at":"2026-05-17T23:54:13Z","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":"Fix $n\\geq 5$ general points $p_1, \\dots, p_n\\in\\mathbb{P}^1$, and a weight vector $\\mathcal{A} = (a_{1}, \\dots, a_{n})$ of real numbers $0 \\leq a_{i} \\leq 1$. Consider the moduli space $\\mathcal{M}_{\\mathcal{A}}$ parametrizing rank two parabolic vector bundles with trivial determinant on $\\big(\\mathbb{P}^1, p_1,\\dots , p_n\\big)$ which are semistable with respect to $\\mathcal{A}$. Under some conditions on the weights, we determine and give a modular interpretation for the automorphism group of the moduli space $\\mathcal{M}_{\\mathcal{A}}$. It is isomorphic to $\\left(\\frac{\\mathbb{Z}}{2\\mathbb{Z","authors_text":"Alex Massarenti, Carolina Araujo, Inder Kaur, Thiago Fassarella","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2019-02-11T20:35:33Z","title":"On automorphisms of moduli spaces of parabolic vector bundles"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1902.04136","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":"sha256:515b00bc6976676ee7d72d2c80c7c17734f919a1ce095d0d19613be066bf2b2e","target":"record","created_at":"2026-05-17T23:54:13Z","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":"ee57b412f88a26b605c9e68438981a8d1f7c4385505120206a04ec23545bd2ee","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2019-02-11T20:35:33Z","title_canon_sha256":"ac43b8eaad99770a15cce5e2f14b7381023f847f5e2e2b3a476d6b6b71935e90"},"schema_version":"1.0","source":{"id":"1902.04136","kind":"arxiv","version":1}},"canonical_sha256":"ae7016459b298c2ebef4dd561b8a804a66b27a12969a2d4a6fd2e6bbf322fa14","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ae7016459b298c2ebef4dd561b8a804a66b27a12969a2d4a6fd2e6bbf322fa14","first_computed_at":"2026-05-17T23:54:13.002950Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:54:13.002950Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"DUuEaS5kGY6tcsxmNZgT9oml2kjj8ntiIzkiCa0v/I/5HZH9OZBYbLww+gCIonXfboWjE6vEcXa4eoAMxRf6Ag==","signature_status":"signed_v1","signed_at":"2026-05-17T23:54:13.003548Z","signed_message":"canonical_sha256_bytes"},"source_id":"1902.04136","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:515b00bc6976676ee7d72d2c80c7c17734f919a1ce095d0d19613be066bf2b2e","sha256:264295254829a90534f40b7caa0f5872a369b7646cbe8d233011a828db34736a"],"state_sha256":"1017cd6aa6cbd742255213af26b2f17c84adec3db4f6d71577d58e8388e6ebdb"}