{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:RFSIP7BSCPLKIU4VAMIGTANSJ7","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":"82a890cbc35490b7afe2bbee5f8d51613fab65298669cd4663ef112790a1820e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2018-03-19T17:18:09Z","title_canon_sha256":"f987aff699158ae52a16906b900a9073029d83302dcc8443667a117dc9817fd9"},"schema_version":"1.0","source":{"id":"1803.07044","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1803.07044","created_at":"2026-05-18T00:20:40Z"},{"alias_kind":"arxiv_version","alias_value":"1803.07044v1","created_at":"2026-05-18T00:20:40Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1803.07044","created_at":"2026-05-18T00:20:40Z"},{"alias_kind":"pith_short_12","alias_value":"RFSIP7BSCPLK","created_at":"2026-05-18T12:32:50Z"},{"alias_kind":"pith_short_16","alias_value":"RFSIP7BSCPLKIU4V","created_at":"2026-05-18T12:32:50Z"},{"alias_kind":"pith_short_8","alias_value":"RFSIP7BS","created_at":"2026-05-18T12:32:50Z"}],"graph_snapshots":[{"event_id":"sha256:93561a8ab67a06c0d2bb09e9b6d37bcd0403dd2f39504a616dafc4b912118400","target":"graph","created_at":"2026-05-18T00:20:40Z","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":"In this work we study neighborhoods of curves in surfaces with positive self-intersection that can be embeeded as a germ of neighborhood of a curve on the projective plane.","authors_text":"M. Falla Luza, P. Sad","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2018-03-19T17:18:09Z","title":"Positive neighborhoods of curves"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1803.07044","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:d68b3236bd52c112eaf3f32e6c714d5a613069a9b3d87a6c43ade098010e2770","target":"record","created_at":"2026-05-18T00:20:40Z","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":"82a890cbc35490b7afe2bbee5f8d51613fab65298669cd4663ef112790a1820e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2018-03-19T17:18:09Z","title_canon_sha256":"f987aff699158ae52a16906b900a9073029d83302dcc8443667a117dc9817fd9"},"schema_version":"1.0","source":{"id":"1803.07044","kind":"arxiv","version":1}},"canonical_sha256":"896487fc3213d6a4539503106981b24fc55a5849553078e9c1ba8a7f48e3376d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"896487fc3213d6a4539503106981b24fc55a5849553078e9c1ba8a7f48e3376d","first_computed_at":"2026-05-18T00:20:40.500924Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:20:40.500924Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"srYOGtVQiGpNNnzThX+lwA4ncA00BAFBK5wL82wHBfuHnn7rW63Qe6BhY8qFJo6W5MF95bamZOb1K2wzrgzLDg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:20:40.501758Z","signed_message":"canonical_sha256_bytes"},"source_id":"1803.07044","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d68b3236bd52c112eaf3f32e6c714d5a613069a9b3d87a6c43ade098010e2770","sha256:93561a8ab67a06c0d2bb09e9b6d37bcd0403dd2f39504a616dafc4b912118400"],"state_sha256":"0dc4b8acde4e53e35407dac2d8d67e1fe1b8e8bf54a9dee8d956d52a5d3b950a"}