{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:HJKLHFMCAE3ZA65J3CR63RCT4Z","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":"83faf1f812ee46862496e68bf4ce51cf098dbed3b5d61e20170017c4f98bc700","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2015-06-30T06:08:59Z","title_canon_sha256":"8db45f29e14754ea7f52ee860ffbc3e0b97ddd8d2c9d62399c0c71f586aed1be"},"schema_version":"1.0","source":{"id":"1506.08949","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1506.08949","created_at":"2026-05-18T01:37:34Z"},{"alias_kind":"arxiv_version","alias_value":"1506.08949v1","created_at":"2026-05-18T01:37:34Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1506.08949","created_at":"2026-05-18T01:37:34Z"},{"alias_kind":"pith_short_12","alias_value":"HJKLHFMCAE3Z","created_at":"2026-05-18T12:29:25Z"},{"alias_kind":"pith_short_16","alias_value":"HJKLHFMCAE3ZA65J","created_at":"2026-05-18T12:29:25Z"},{"alias_kind":"pith_short_8","alias_value":"HJKLHFMC","created_at":"2026-05-18T12:29:25Z"}],"graph_snapshots":[{"event_id":"sha256:bd01273c3f30d011e761dc6b14988fe236b398b4c835555d426d926ab9104962","target":"graph","created_at":"2026-05-18T01:37:34Z","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":"The Halphen transform of a plane curve is the curve obtained by intersecting the tangent lines of the curve with the corresponding polar lines with respect to some conic. This transform has been introduced by Halphen as a branch desingularization method and has also been studied by Coolidge and by Josse. We extend this notion to Halphen transform of a space curve and study several of its properties (birationality, degree, rank, class, desingularization).","authors_text":"Alfrederic Josse (LMBA), Fran\\c{c}oise P\\`ene (LMBA)","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2015-06-30T06:08:59Z","title":"On the halphen transform of algebraic space curves"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1506.08949","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:c0ee93f972405fb324e53a8749abcb3903cb47d7593d47b58fedf53f33685f12","target":"record","created_at":"2026-05-18T01:37:34Z","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":"83faf1f812ee46862496e68bf4ce51cf098dbed3b5d61e20170017c4f98bc700","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2015-06-30T06:08:59Z","title_canon_sha256":"8db45f29e14754ea7f52ee860ffbc3e0b97ddd8d2c9d62399c0c71f586aed1be"},"schema_version":"1.0","source":{"id":"1506.08949","kind":"arxiv","version":1}},"canonical_sha256":"3a54b395820137907ba9d8a3edc453e65ece5437dab461e2ae63734b468ba55c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3a54b395820137907ba9d8a3edc453e65ece5437dab461e2ae63734b468ba55c","first_computed_at":"2026-05-18T01:37:34.021774Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:37:34.021774Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"dBJ8pB8Rr7vX0HzI1Ru9zEC/5bma/fy0wT3YEDoZD0TDPJ0zX8H+itIymfXdlnCR7ARxdqr2IbyKzFKef0YbAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:37:34.022291Z","signed_message":"canonical_sha256_bytes"},"source_id":"1506.08949","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c0ee93f972405fb324e53a8749abcb3903cb47d7593d47b58fedf53f33685f12","sha256:bd01273c3f30d011e761dc6b14988fe236b398b4c835555d426d926ab9104962"],"state_sha256":"ccd4ca9785432d284ad1a847438f622053e576997db8ef55c5a2c2cfda24507f"}