{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:D2EJGM7CK7IDGVGNFTGXV2WPEU","short_pith_number":"pith:D2EJGM7C","canonical_record":{"source":{"id":"1705.02658","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2017-05-07T17:01:17Z","cross_cats_sorted":["math.CO"],"title_canon_sha256":"8bd65fa3bdacd6f0bb5c8be13f7bdd112c0bce9769cf7bfc465a0d873890a930","abstract_canon_sha256":"52cdab0066ddd351bd98b19ceb1ff2d4d98cdb863c0adcf63714a3b47c53b5fa"},"schema_version":"1.0"},"canonical_sha256":"1e889333e257d03354cd2ccd7aeacf25047ebbd3ce94a4431796d94ef6b6506e","source":{"kind":"arxiv","id":"1705.02658","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1705.02658","created_at":"2026-05-18T00:36:38Z"},{"alias_kind":"arxiv_version","alias_value":"1705.02658v1","created_at":"2026-05-18T00:36:38Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1705.02658","created_at":"2026-05-18T00:36:38Z"},{"alias_kind":"pith_short_12","alias_value":"D2EJGM7CK7ID","created_at":"2026-05-18T12:31:10Z"},{"alias_kind":"pith_short_16","alias_value":"D2EJGM7CK7IDGVGN","created_at":"2026-05-18T12:31:10Z"},{"alias_kind":"pith_short_8","alias_value":"D2EJGM7C","created_at":"2026-05-18T12:31:10Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:D2EJGM7CK7IDGVGNFTGXV2WPEU","target":"record","payload":{"canonical_record":{"source":{"id":"1705.02658","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2017-05-07T17:01:17Z","cross_cats_sorted":["math.CO"],"title_canon_sha256":"8bd65fa3bdacd6f0bb5c8be13f7bdd112c0bce9769cf7bfc465a0d873890a930","abstract_canon_sha256":"52cdab0066ddd351bd98b19ceb1ff2d4d98cdb863c0adcf63714a3b47c53b5fa"},"schema_version":"1.0"},"canonical_sha256":"1e889333e257d03354cd2ccd7aeacf25047ebbd3ce94a4431796d94ef6b6506e","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:36:38.524951Z","signature_b64":"5FQDJ6f9VVrsOqJ933ncy8YVDD/ofLpO66RDHc+rkXm4Bi8YNcZfLuVlRVEW9GA+kWDbjmLfsgwXJNCJ5aR1DQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1e889333e257d03354cd2ccd7aeacf25047ebbd3ce94a4431796d94ef6b6506e","last_reissued_at":"2026-05-18T00:36:38.524293Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:36:38.524293Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1705.02658","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:36:38Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"YWK7bzQgFb+bnQ8RlBQHM0K643IJoQ01MH+j7NLuC3I+PtwNqnXRtEAaPnMaPX19yh9rDAgseaKjFAFnXT4aCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-24T09:22:25.691855Z"},"content_sha256":"fcf7fb2f1f95be7eaf4cf1a2114ce17300954ceb9f4d664f3e49229b52070b2d","schema_version":"1.0","event_id":"sha256:fcf7fb2f1f95be7eaf4cf1a2114ce17300954ceb9f4d664f3e49229b52070b2d"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:D2EJGM7CK7IDGVGNFTGXV2WPEU","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Singular rational curves with points of nearly-maximal weight","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.CO"],"primary_cat":"math.AG","authors_text":"Ethan Cotterill, Lia Feital, Renato Vidal Martins","submitted_at":"2017-05-07T17:01:17Z","abstract_excerpt":"In this article we study rational curves with a unique unibranch genus-$g$ singularity, which is of {\\it $\\ka$-hyperelliptic} type in the sense of \\cite{To}; we focus on the cases $\\ka=0$ and $\\ka=1$, in which the semigroup associated to the singularity is of (sub)maximal weight. We obtain a partial classification of these curves according to the linear series they support, the scrolls on which they lie, and their gonality."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1705.02658","kind":"arxiv","version":1},"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":"2026-05-18T00:36:38Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"FSoLGqExyuywKqgJNomlQoMYXhhfjQhp+2xm8t8e2qiQFSmszPzY/JyCi2hXMxYLsgUOiDJDkSqbdjB7LuoMDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-24T09:22:25.692199Z"},"content_sha256":"c3d282821e09ffa90b93b22131db6ed971063b4e9dae8a9df940116ca86d3151","schema_version":"1.0","event_id":"sha256:c3d282821e09ffa90b93b22131db6ed971063b4e9dae8a9df940116ca86d3151"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/D2EJGM7CK7IDGVGNFTGXV2WPEU/bundle.json","state_url":"https://pith.science/pith/D2EJGM7CK7IDGVGNFTGXV2WPEU/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/D2EJGM7CK7IDGVGNFTGXV2WPEU/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":"2026-06-24T09:22:25Z","links":{"resolver":"https://pith.science/pith/D2EJGM7CK7IDGVGNFTGXV2WPEU","bundle":"https://pith.science/pith/D2EJGM7CK7IDGVGNFTGXV2WPEU/bundle.json","state":"https://pith.science/pith/D2EJGM7CK7IDGVGNFTGXV2WPEU/state.json","well_known_bundle":"https://pith.science/.well-known/pith/D2EJGM7CK7IDGVGNFTGXV2WPEU/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:D2EJGM7CK7IDGVGNFTGXV2WPEU","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":"52cdab0066ddd351bd98b19ceb1ff2d4d98cdb863c0adcf63714a3b47c53b5fa","cross_cats_sorted":["math.CO"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2017-05-07T17:01:17Z","title_canon_sha256":"8bd65fa3bdacd6f0bb5c8be13f7bdd112c0bce9769cf7bfc465a0d873890a930"},"schema_version":"1.0","source":{"id":"1705.02658","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1705.02658","created_at":"2026-05-18T00:36:38Z"},{"alias_kind":"arxiv_version","alias_value":"1705.02658v1","created_at":"2026-05-18T00:36:38Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1705.02658","created_at":"2026-05-18T00:36:38Z"},{"alias_kind":"pith_short_12","alias_value":"D2EJGM7CK7ID","created_at":"2026-05-18T12:31:10Z"},{"alias_kind":"pith_short_16","alias_value":"D2EJGM7CK7IDGVGN","created_at":"2026-05-18T12:31:10Z"},{"alias_kind":"pith_short_8","alias_value":"D2EJGM7C","created_at":"2026-05-18T12:31:10Z"}],"graph_snapshots":[{"event_id":"sha256:c3d282821e09ffa90b93b22131db6ed971063b4e9dae8a9df940116ca86d3151","target":"graph","created_at":"2026-05-18T00:36:38Z","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 article we study rational curves with a unique unibranch genus-$g$ singularity, which is of {\\it $\\ka$-hyperelliptic} type in the sense of \\cite{To}; we focus on the cases $\\ka=0$ and $\\ka=1$, in which the semigroup associated to the singularity is of (sub)maximal weight. We obtain a partial classification of these curves according to the linear series they support, the scrolls on which they lie, and their gonality.","authors_text":"Ethan Cotterill, Lia Feital, Renato Vidal Martins","cross_cats":["math.CO"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2017-05-07T17:01:17Z","title":"Singular rational curves with points of nearly-maximal weight"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1705.02658","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:fcf7fb2f1f95be7eaf4cf1a2114ce17300954ceb9f4d664f3e49229b52070b2d","target":"record","created_at":"2026-05-18T00:36:38Z","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":"52cdab0066ddd351bd98b19ceb1ff2d4d98cdb863c0adcf63714a3b47c53b5fa","cross_cats_sorted":["math.CO"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2017-05-07T17:01:17Z","title_canon_sha256":"8bd65fa3bdacd6f0bb5c8be13f7bdd112c0bce9769cf7bfc465a0d873890a930"},"schema_version":"1.0","source":{"id":"1705.02658","kind":"arxiv","version":1}},"canonical_sha256":"1e889333e257d03354cd2ccd7aeacf25047ebbd3ce94a4431796d94ef6b6506e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1e889333e257d03354cd2ccd7aeacf25047ebbd3ce94a4431796d94ef6b6506e","first_computed_at":"2026-05-18T00:36:38.524293Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:36:38.524293Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"5FQDJ6f9VVrsOqJ933ncy8YVDD/ofLpO66RDHc+rkXm4Bi8YNcZfLuVlRVEW9GA+kWDbjmLfsgwXJNCJ5aR1DQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:36:38.524951Z","signed_message":"canonical_sha256_bytes"},"source_id":"1705.02658","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:fcf7fb2f1f95be7eaf4cf1a2114ce17300954ceb9f4d664f3e49229b52070b2d","sha256:c3d282821e09ffa90b93b22131db6ed971063b4e9dae8a9df940116ca86d3151"],"state_sha256":"70eca0b65d0aea97d7699da18f4e6fa329991774719084b52f931c9c607fa672"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"u4ts+jkNWOCUZixJpMl6f6YfpMgBOleBNKA6WCkp6M0l8O6JA/KIhKW+0izU3fJ4gQqv0rMgXr9XyxvpPvTZBg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-24T09:22:25.694156Z","bundle_sha256":"d02a3e83c680a9229435ac016281ceaff5d13c8f05cc915464d3d544c6a1b5a2"}}