{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:2WLCILAE4ZB72KHVAFAOEQE7L3","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":"f74818b4d258f108eaec971fd9f99df9af70b18fee9c474cb10e8e0229243fec","cross_cats_sorted":["cs.NA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2010-04-08T10:00:37Z","title_canon_sha256":"e8290b05c49e191cd4a21c71e09b07e83fbb0350b05b7e69203ef4fd8023643d"},"schema_version":"1.0","source":{"id":"1004.1295","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1004.1295","created_at":"2026-06-03T23:06:35Z"},{"alias_kind":"arxiv_version","alias_value":"1004.1295v1","created_at":"2026-06-03T23:06:35Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1004.1295","created_at":"2026-06-03T23:06:35Z"},{"alias_kind":"pith_short_12","alias_value":"2WLCILAE4ZB7","created_at":"2026-06-03T23:06:35Z"},{"alias_kind":"pith_short_16","alias_value":"2WLCILAE4ZB72KHV","created_at":"2026-06-03T23:06:35Z"},{"alias_kind":"pith_short_8","alias_value":"2WLCILAE","created_at":"2026-06-03T23:06:35Z"}],"graph_snapshots":[{"event_id":"sha256:1c108c83755e998c63824fc1527e1387051785a1ab1c1cd60e18910dc67d82eb","target":"graph","created_at":"2026-06-03T23:06:35Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/1004.1295/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The paper is concerned with the problem of shape preserving interpolatory subdivision. For arbitrarily spaced, planar input data an efficient non-linear subdivision algorithm is presented that results in $G^1$ limit curves, reproduces conic sections and respects the convexity properties of the initial data. Significant numerical examples illustrate the effectiveness of the proposed method.","authors_text":"Gudrun Albrecht, Lucia Romani","cross_cats":["cs.NA"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2010-04-08T10:00:37Z","title":"Convexity preserving interpolatory subdivision with conic precision"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1004.1295","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":"sha256:4419cbaff311b1fdd565ace0bad8ff9e12690032f51ccb1cb52a8acb642abd4d","target":"record","created_at":"2026-06-03T23:06:35Z","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":"f74818b4d258f108eaec971fd9f99df9af70b18fee9c474cb10e8e0229243fec","cross_cats_sorted":["cs.NA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2010-04-08T10:00:37Z","title_canon_sha256":"e8290b05c49e191cd4a21c71e09b07e83fbb0350b05b7e69203ef4fd8023643d"},"schema_version":"1.0","source":{"id":"1004.1295","kind":"arxiv","version":1}},"canonical_sha256":"d596242c04e643fd28f50140e2409f5ec8e69e0a755a98bd1d00eecc69006833","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d596242c04e643fd28f50140e2409f5ec8e69e0a755a98bd1d00eecc69006833","first_computed_at":"2026-06-03T23:06:35.281595Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-06-03T23:06:35.281595Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"OJt5WOHDej3cCURlFhgOCYYIBt+jMGi1S9IjDgjKQt6BuzyBDNLBdyjsQZ2Xf/OorpCou2A+p5QZo6odO8lZCQ==","signature_status":"signed_v1","signed_at":"2026-06-03T23:06:35.282027Z","signed_message":"canonical_sha256_bytes"},"source_id":"1004.1295","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4419cbaff311b1fdd565ace0bad8ff9e12690032f51ccb1cb52a8acb642abd4d","sha256:1c108c83755e998c63824fc1527e1387051785a1ab1c1cd60e18910dc67d82eb"],"state_sha256":"edab4fc4605cac3357134e553903be7f9bafb56b1080e3a326021b048658ee74"}