{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:OMPOQDDCP3E4K32PG4HWFH6LLO","short_pith_number":"pith:OMPOQDDC","canonical_record":{"source":{"id":"1705.10113","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2017-05-29T10:51:45Z","cross_cats_sorted":[],"title_canon_sha256":"2ba8985f768eb5ad9d01365c690db82412489346a4baaf290761580d9c71caa1","abstract_canon_sha256":"a179d2d732d389f76897638a534b8af20d172adf76b9f00531c2d8027eaeb263"},"schema_version":"1.0"},"canonical_sha256":"731ee80c627ec9c56f4f370f629fcb5b8345571971330845728fab4ad07eabdb","source":{"kind":"arxiv","id":"1705.10113","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1705.10113","created_at":"2026-05-18T00:22:59Z"},{"alias_kind":"arxiv_version","alias_value":"1705.10113v2","created_at":"2026-05-18T00:22:59Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1705.10113","created_at":"2026-05-18T00:22:59Z"},{"alias_kind":"pith_short_12","alias_value":"OMPOQDDCP3E4","created_at":"2026-05-18T12:31:34Z"},{"alias_kind":"pith_short_16","alias_value":"OMPOQDDCP3E4K32P","created_at":"2026-05-18T12:31:34Z"},{"alias_kind":"pith_short_8","alias_value":"OMPOQDDC","created_at":"2026-05-18T12:31:34Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:OMPOQDDCP3E4K32PG4HWFH6LLO","target":"record","payload":{"canonical_record":{"source":{"id":"1705.10113","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2017-05-29T10:51:45Z","cross_cats_sorted":[],"title_canon_sha256":"2ba8985f768eb5ad9d01365c690db82412489346a4baaf290761580d9c71caa1","abstract_canon_sha256":"a179d2d732d389f76897638a534b8af20d172adf76b9f00531c2d8027eaeb263"},"schema_version":"1.0"},"canonical_sha256":"731ee80c627ec9c56f4f370f629fcb5b8345571971330845728fab4ad07eabdb","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:22:59.314249Z","signature_b64":"n91t6GnVxa2kLzXu9NcyiD+4cyQAF9rzZ0yLlwYWCvNAtyhN8ikHNB61OWK8KztzzhbGmygkXZ2dNDLvBtT0Bw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"731ee80c627ec9c56f4f370f629fcb5b8345571971330845728fab4ad07eabdb","last_reissued_at":"2026-05-18T00:22:59.313581Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:22:59.313581Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1705.10113","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:22:59Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ml60Kli/IgJI+fY4aWEgDWqpZSaKA2Y7aJc8qg6T2ugN1n6scjZGy6qtpemPo/RGqYxtrcqT2u3yxj/T6CQoBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T12:34:50.145059Z"},"content_sha256":"eb00c4c052ed2380204487608b398a3b353ef7e814996b37ff225e3377859d95","schema_version":"1.0","event_id":"sha256:eb00c4c052ed2380204487608b398a3b353ef7e814996b37ff225e3377859d95"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:OMPOQDDCP3E4K32PG4HWFH6LLO","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Maximal rank of space curves in the range A","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Claudio Fontanari, Edoardo Ballico, Philippe Ellia","submitted_at":"2017-05-29T10:51:45Z","abstract_excerpt":"We prove the following statement, which has been conjectured since 1985: There exists a constant $K$ such that for all natural numbers $d,g$ with $g\\le Kd^{3/2}$ there exists an irreducible component of the Hilbert scheme of $\\mathbb{P}^3$ whose general element is a smooth, connected curve of degree $d$ and genus $g$ of maximal rank."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1705.10113","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:22:59Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"zhz5CF3Ug0fmydHO8cTVNPKGbpY8bW4ZgIOV3J6dNm64RRehfhT6z3GZ7X0wzZCF2HbKjB1AKsDGqYyTHv6bBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T12:34:50.145564Z"},"content_sha256":"d396cfa1f731bc1bc791102f5572e49340c52376d42a7ab70032c96494b5e76e","schema_version":"1.0","event_id":"sha256:d396cfa1f731bc1bc791102f5572e49340c52376d42a7ab70032c96494b5e76e"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/OMPOQDDCP3E4K32PG4HWFH6LLO/bundle.json","state_url":"https://pith.science/pith/OMPOQDDCP3E4K32PG4HWFH6LLO/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/OMPOQDDCP3E4K32PG4HWFH6LLO/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-05-30T12:34:50Z","links":{"resolver":"https://pith.science/pith/OMPOQDDCP3E4K32PG4HWFH6LLO","bundle":"https://pith.science/pith/OMPOQDDCP3E4K32PG4HWFH6LLO/bundle.json","state":"https://pith.science/pith/OMPOQDDCP3E4K32PG4HWFH6LLO/state.json","well_known_bundle":"https://pith.science/.well-known/pith/OMPOQDDCP3E4K32PG4HWFH6LLO/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:OMPOQDDCP3E4K32PG4HWFH6LLO","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":"a179d2d732d389f76897638a534b8af20d172adf76b9f00531c2d8027eaeb263","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2017-05-29T10:51:45Z","title_canon_sha256":"2ba8985f768eb5ad9d01365c690db82412489346a4baaf290761580d9c71caa1"},"schema_version":"1.0","source":{"id":"1705.10113","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1705.10113","created_at":"2026-05-18T00:22:59Z"},{"alias_kind":"arxiv_version","alias_value":"1705.10113v2","created_at":"2026-05-18T00:22:59Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1705.10113","created_at":"2026-05-18T00:22:59Z"},{"alias_kind":"pith_short_12","alias_value":"OMPOQDDCP3E4","created_at":"2026-05-18T12:31:34Z"},{"alias_kind":"pith_short_16","alias_value":"OMPOQDDCP3E4K32P","created_at":"2026-05-18T12:31:34Z"},{"alias_kind":"pith_short_8","alias_value":"OMPOQDDC","created_at":"2026-05-18T12:31:34Z"}],"graph_snapshots":[{"event_id":"sha256:d396cfa1f731bc1bc791102f5572e49340c52376d42a7ab70032c96494b5e76e","target":"graph","created_at":"2026-05-18T00:22:59Z","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 prove the following statement, which has been conjectured since 1985: There exists a constant $K$ such that for all natural numbers $d,g$ with $g\\le Kd^{3/2}$ there exists an irreducible component of the Hilbert scheme of $\\mathbb{P}^3$ whose general element is a smooth, connected curve of degree $d$ and genus $g$ of maximal rank.","authors_text":"Claudio Fontanari, Edoardo Ballico, Philippe Ellia","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2017-05-29T10:51:45Z","title":"Maximal rank of space curves in the range A"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1705.10113","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:eb00c4c052ed2380204487608b398a3b353ef7e814996b37ff225e3377859d95","target":"record","created_at":"2026-05-18T00:22:59Z","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":"a179d2d732d389f76897638a534b8af20d172adf76b9f00531c2d8027eaeb263","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2017-05-29T10:51:45Z","title_canon_sha256":"2ba8985f768eb5ad9d01365c690db82412489346a4baaf290761580d9c71caa1"},"schema_version":"1.0","source":{"id":"1705.10113","kind":"arxiv","version":2}},"canonical_sha256":"731ee80c627ec9c56f4f370f629fcb5b8345571971330845728fab4ad07eabdb","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"731ee80c627ec9c56f4f370f629fcb5b8345571971330845728fab4ad07eabdb","first_computed_at":"2026-05-18T00:22:59.313581Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:22:59.313581Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"n91t6GnVxa2kLzXu9NcyiD+4cyQAF9rzZ0yLlwYWCvNAtyhN8ikHNB61OWK8KztzzhbGmygkXZ2dNDLvBtT0Bw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:22:59.314249Z","signed_message":"canonical_sha256_bytes"},"source_id":"1705.10113","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:eb00c4c052ed2380204487608b398a3b353ef7e814996b37ff225e3377859d95","sha256:d396cfa1f731bc1bc791102f5572e49340c52376d42a7ab70032c96494b5e76e"],"state_sha256":"f8fda392e31b760725e8ab003849acb59ce923eca3162f9e32e36d178edb1ab0"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"2qEeohQwxB6Vru6oDqj/2N769v3oPJi32MJWG9lZ9P/QhJdcwW9Xj7f5ZRPZqJNynd9PossrJK3c/YYAasFRBA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-30T12:34:50.148532Z","bundle_sha256":"de10b5308293c3803358662b76fbe870bf78e5854c68dacb11b8b1e68b51d4b3"}}