{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:RJ2QI2ZONLEWP4YASVIDP6TUXT","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":"e9f278279de773e1b7b16eaea479ac65e5a412dfe7766dfc64e5332231db832b","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"cs.DS","submitted_at":"2024-12-06T11:32:56Z","title_canon_sha256":"c55abe77dc9aec25062e3fbed64f333848523eeae3d0c445902d3328f927c033"},"schema_version":"1.0","source":{"id":"2412.04965","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2412.04965","created_at":"2026-07-05T09:45:26Z"},{"alias_kind":"arxiv_version","alias_value":"2412.04965v1","created_at":"2026-07-05T09:45:26Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2412.04965","created_at":"2026-07-05T09:45:26Z"},{"alias_kind":"pith_short_12","alias_value":"RJ2QI2ZONLEW","created_at":"2026-07-05T09:45:26Z"},{"alias_kind":"pith_short_16","alias_value":"RJ2QI2ZONLEWP4YA","created_at":"2026-07-05T09:45:26Z"},{"alias_kind":"pith_short_8","alias_value":"RJ2QI2ZO","created_at":"2026-07-05T09:45:26Z"}],"graph_snapshots":[{"event_id":"sha256:855f983f9223b900446be8ea2750e6bb687d4c1fa5e51b2132e6f528d273d7bf","target":"graph","created_at":"2026-07-05T09:45:26Z","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/2412.04965/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We consider succinct data structures for representing a set of $n$ horizontal line segments in the plane given in rank space to support \\emph{segment access}, \\emph{segment selection}, and \\emph{segment rank} queries. A segment access query finds the segment $(x_1, x_2, y)$ given its $y$-coordinate ($y$-coordinates of the segments are distinct), a segment selection query finds the $j$th smallest segment (the segment with the $j$th smallest $y$-coordinate) among the segments crossing the vertical line for a given $x$-coordinate, and a segment rank query finds the number of segments crossing the","authors_text":"Inge Li G{\\o}rtz, Philip Bille, Simon R. Tarnow","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"cs.DS","submitted_at":"2024-12-06T11:32:56Z","title":"Succinct Data Structures for Segments"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2412.04965","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:a7670bb33b9e9b52564cfcc92987745cfeeec8e1bcaaffe641bd51153244c241","target":"record","created_at":"2026-07-05T09:45:26Z","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":"e9f278279de773e1b7b16eaea479ac65e5a412dfe7766dfc64e5332231db832b","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"cs.DS","submitted_at":"2024-12-06T11:32:56Z","title_canon_sha256":"c55abe77dc9aec25062e3fbed64f333848523eeae3d0c445902d3328f927c033"},"schema_version":"1.0","source":{"id":"2412.04965","kind":"arxiv","version":1}},"canonical_sha256":"8a75046b2e6ac967f300955037fa74bccbeec7c4f2ac549c9d0ca6eaab6c3636","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8a75046b2e6ac967f300955037fa74bccbeec7c4f2ac549c9d0ca6eaab6c3636","first_computed_at":"2026-07-05T09:45:26.698068Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T09:45:26.698068Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"l9gn+4J9sx6L6h+3+8LqAymcpvIwZyPjaYy3zbJqOasodALnJT00roIYHg5DaegP7mRVCh/OskXRjEBilDSqAg==","signature_status":"signed_v1","signed_at":"2026-07-05T09:45:26.698498Z","signed_message":"canonical_sha256_bytes"},"source_id":"2412.04965","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a7670bb33b9e9b52564cfcc92987745cfeeec8e1bcaaffe641bd51153244c241","sha256:855f983f9223b900446be8ea2750e6bb687d4c1fa5e51b2132e6f528d273d7bf"],"state_sha256":"4f8c2cc528c6800771540893715252061af4d69ac3dd2eda3528e266a18762e2"}