{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:GYTTAEKN3VOAO7MDIXUNFR5FQS","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":"bd703dc76bd342ce494f5f8c815bdec6252d37fd4e8f9fb3a0ab6bd243cc10bc","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2017-05-29T11:54:13Z","title_canon_sha256":"7e8b891687da152ecfdcde67ba64197f5eb2f21e039ac5d582dc986adaa5b51a"},"schema_version":"1.0","source":{"id":"1705.10135","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1705.10135","created_at":"2026-05-18T00:26:21Z"},{"alias_kind":"arxiv_version","alias_value":"1705.10135v2","created_at":"2026-05-18T00:26:21Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1705.10135","created_at":"2026-05-18T00:26:21Z"},{"alias_kind":"pith_short_12","alias_value":"GYTTAEKN3VOA","created_at":"2026-05-18T12:31:18Z"},{"alias_kind":"pith_short_16","alias_value":"GYTTAEKN3VOAO7MD","created_at":"2026-05-18T12:31:18Z"},{"alias_kind":"pith_short_8","alias_value":"GYTTAEKN","created_at":"2026-05-18T12:31:18Z"}],"graph_snapshots":[{"event_id":"sha256:30522ae47961403a9df727e5c23bc08c078d7bec0dfec45670e95e0426db2e74","target":"graph","created_at":"2026-05-18T00:26:21Z","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":"Consider the projection of a smooth irreducible surface in $\\mathbb{P}^3$ from a point. The uniform position principle implies that the monodromy group of such a projection from a general point in $\\mathbb{P}^3$ is the whole symmetric group. We will call such points uniform. Inspired by a result of Pirola and Schlesinger for the case of curves, we prove that the locus of non-uniform points of $\\mathbb{P}^3$ is at most finite.","authors_text":"Alice Cuzzucoli, Maiko Serizawa, Riccardo Moschetti","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2017-05-29T11:54:13Z","title":"Non Uniform Projections of Surfaces in $\\mathbb{P}^3$"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1705.10135","kind":"arxiv","version":2},"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":"sha256:85dd2b01ab8d4d95446e728d92cea14161a274e783021feb85be9dee884a99ed","target":"record","created_at":"2026-05-18T00:26:21Z","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":"bd703dc76bd342ce494f5f8c815bdec6252d37fd4e8f9fb3a0ab6bd243cc10bc","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2017-05-29T11:54:13Z","title_canon_sha256":"7e8b891687da152ecfdcde67ba64197f5eb2f21e039ac5d582dc986adaa5b51a"},"schema_version":"1.0","source":{"id":"1705.10135","kind":"arxiv","version":2}},"canonical_sha256":"362730114ddd5c077d8345e8d2c7a584af63c0c7893299c29224d6a60735f4e1","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"362730114ddd5c077d8345e8d2c7a584af63c0c7893299c29224d6a60735f4e1","first_computed_at":"2026-05-18T00:26:21.340291Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:26:21.340291Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"akmv8mBxIOah+zFb0uEHGtmF/Y1miOGiVzUmMLUF5J4kHgi15p6EBRq1zJsPUjTvfi2FliPZSBXrbLm2yhPwBw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:26:21.341023Z","signed_message":"canonical_sha256_bytes"},"source_id":"1705.10135","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:85dd2b01ab8d4d95446e728d92cea14161a274e783021feb85be9dee884a99ed","sha256:30522ae47961403a9df727e5c23bc08c078d7bec0dfec45670e95e0426db2e74"],"state_sha256":"1da9cca1d7d3dfbac0ca8eb1fcc07b4519f1fc719de61178eb5cccce5aa75174"}