{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:SN6QNURODOG35FP4VCWVUSDZ3V","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":"c795f80ac4cd54a914e405407cbe10cb751139c1d8e170227f922aae9e79b475","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2017-01-20T17:08:36Z","title_canon_sha256":"7f77af5ca4da424727e79fc4329ba9f661cdf187664c76b1cef2277ae0b4c295"},"schema_version":"1.0","source":{"id":"1701.05861","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1701.05861","created_at":"2026-05-18T00:52:24Z"},{"alias_kind":"arxiv_version","alias_value":"1701.05861v1","created_at":"2026-05-18T00:52:24Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1701.05861","created_at":"2026-05-18T00:52:24Z"},{"alias_kind":"pith_short_12","alias_value":"SN6QNURODOG3","created_at":"2026-05-18T12:31:43Z"},{"alias_kind":"pith_short_16","alias_value":"SN6QNURODOG35FP4","created_at":"2026-05-18T12:31:43Z"},{"alias_kind":"pith_short_8","alias_value":"SN6QNURO","created_at":"2026-05-18T12:31:43Z"}],"graph_snapshots":[{"event_id":"sha256:987c28891e9f4f9ff116ad0afe1d78dd56d45390d64474b55bb64d09c6fb1f55","target":"graph","created_at":"2026-05-18T00:52:24Z","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 $\\overline{\\mathcal{M}}_{g,A[n]}$ be the Hassett moduli stack of weighted stable curves, and let $\\overline{M}_{g,A[n]}$ be its coarse moduli space. These are compactifications of $\\mathcal{M}_{g,n}$ and $M_{g,n}$ respectively, obtained by assigning rational weights $A = (a_{1},...,a_{n})$, $0< a_{i} \\leq 1$ to the markings; they are defined over $\\mathbb{Z}$, and therefore over any field. We study the first order infinitesimal deformations of $\\overline{\\mathcal{M}}_{g,A[n]}$ and $\\overline{M}_{g,A[n]}$. In particular, we show that $\\overline{M}_{0,A[n]}$ is rigid over any field, if $g\\ge","authors_text":"Alex Massarenti, Barbara Fantechi","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2017-01-20T17:08:36Z","title":"On the rigidity of moduli of weighted pointed stable curves"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1701.05861","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":"sha256:2d20a6937ba3ab6e04f82ff48e721672c2452d3af27e97229b2d6c6a1af502af","target":"record","created_at":"2026-05-18T00:52:24Z","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":"c795f80ac4cd54a914e405407cbe10cb751139c1d8e170227f922aae9e79b475","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2017-01-20T17:08:36Z","title_canon_sha256":"7f77af5ca4da424727e79fc4329ba9f661cdf187664c76b1cef2277ae0b4c295"},"schema_version":"1.0","source":{"id":"1701.05861","kind":"arxiv","version":1}},"canonical_sha256":"937d06d22e1b8dbe95fca8ad5a4879dd4c3dc9d4d1cf9083cc4cc1c8823d1eed","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"937d06d22e1b8dbe95fca8ad5a4879dd4c3dc9d4d1cf9083cc4cc1c8823d1eed","first_computed_at":"2026-05-18T00:52:24.504465Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:52:24.504465Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"2wuzD+gPKJ0mzrWWPEpEqALdVEP/ccpD4CFqTPZWBKyI+BP59MXJs5Wbb0wYSBmOIWwgZxpf4MThqnrR3CwODQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:52:24.505126Z","signed_message":"canonical_sha256_bytes"},"source_id":"1701.05861","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2d20a6937ba3ab6e04f82ff48e721672c2452d3af27e97229b2d6c6a1af502af","sha256:987c28891e9f4f9ff116ad0afe1d78dd56d45390d64474b55bb64d09c6fb1f55"],"state_sha256":"0a165377f18da53bd16af69bb0633d63ba3378c1826098c1a2c87f7f828358ac"}