{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:6MKEIR2TZ4P7D6OAIDDJP4BVZA","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":"fae7b1433c708e964e702b70927c58d63c40866ae1b50d9c7904ea68ffc5e10b","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2017-07-23T21:16:52Z","title_canon_sha256":"18f032fe093d8bce267304e75d2d2ef4bf239e19b602ce3f538b5ecc5e7b3c7d"},"schema_version":"1.0","source":{"id":"1707.07347","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1707.07347","created_at":"2026-05-18T00:06:20Z"},{"alias_kind":"arxiv_version","alias_value":"1707.07347v2","created_at":"2026-05-18T00:06:20Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1707.07347","created_at":"2026-05-18T00:06:20Z"},{"alias_kind":"pith_short_12","alias_value":"6MKEIR2TZ4P7","created_at":"2026-05-18T12:31:03Z"},{"alias_kind":"pith_short_16","alias_value":"6MKEIR2TZ4P7D6OA","created_at":"2026-05-18T12:31:03Z"},{"alias_kind":"pith_short_8","alias_value":"6MKEIR2T","created_at":"2026-05-18T12:31:03Z"}],"graph_snapshots":[{"event_id":"sha256:f54ac381c4b01f831379cba95c9bc415fab03c79d0a09ece80e0dac1dfa8f3de","target":"graph","created_at":"2026-05-18T00:06:20Z","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":"We develop a local positivity theory for movable curves on projective varieties similar to the classical Seshadri constants of nef divisors. We give analogues of the Seshadri ampleness criterion, of a characterization of the augmented base locus of a big and nef divisor, and of the interpretation of Seshadri constants as an asymptotic measure of jet separation. We also study the case of arbitrary codimension.","authors_text":"Mihai Fulger","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2017-07-23T21:16:52Z","title":"Seshadri constants for curve classes"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1707.07347","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:e1a06f6d362ba868a1e7b932e96aabe483262c147c5ec848410efa987fcc9145","target":"record","created_at":"2026-05-18T00:06:20Z","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":"fae7b1433c708e964e702b70927c58d63c40866ae1b50d9c7904ea68ffc5e10b","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2017-07-23T21:16:52Z","title_canon_sha256":"18f032fe093d8bce267304e75d2d2ef4bf239e19b602ce3f538b5ecc5e7b3c7d"},"schema_version":"1.0","source":{"id":"1707.07347","kind":"arxiv","version":2}},"canonical_sha256":"f314444753cf1ff1f9c040c697f035c82c61a40dfdc65b53650282f69f8a3967","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f314444753cf1ff1f9c040c697f035c82c61a40dfdc65b53650282f69f8a3967","first_computed_at":"2026-05-18T00:06:20.859189Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:06:20.859189Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"wVkz23tD3SntbHy0iy2LScEj4nZpHXv9m6BCgb3vMG0i97aPPEruNzOlhfgDajrt4rm9RtyqpTCSzM/ivIr8DA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:06:20.859652Z","signed_message":"canonical_sha256_bytes"},"source_id":"1707.07347","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e1a06f6d362ba868a1e7b932e96aabe483262c147c5ec848410efa987fcc9145","sha256:f54ac381c4b01f831379cba95c9bc415fab03c79d0a09ece80e0dac1dfa8f3de"],"state_sha256":"5e64dc25f41b7a32963ec10e5691576b65306a076469567287dab113e2255475"}