{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2023:OJSXOOASOJ5DEVBZ5FG7LNGT3F","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":"1827e3e1cad4ee5b7e9d0ca49a3ae9a19e5d47effd54e5f6b191f6f97bcb279e","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.CG","submitted_at":"2023-08-14T12:23:53Z","title_canon_sha256":"a552a6450187f4f56a93cde43b30a43ee593ec7ef061e3b7416fd247c64d9cd3"},"schema_version":"1.0","source":{"id":"2308.07099","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2308.07099","created_at":"2026-07-05T06:40:56Z"},{"alias_kind":"arxiv_version","alias_value":"2308.07099v1","created_at":"2026-07-05T06:40:56Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2308.07099","created_at":"2026-07-05T06:40:56Z"},{"alias_kind":"pith_short_12","alias_value":"OJSXOOASOJ5D","created_at":"2026-07-05T06:40:56Z"},{"alias_kind":"pith_short_16","alias_value":"OJSXOOASOJ5DEVBZ","created_at":"2026-07-05T06:40:56Z"},{"alias_kind":"pith_short_8","alias_value":"OJSXOOAS","created_at":"2026-07-05T06:40:56Z"}],"graph_snapshots":[{"event_id":"sha256:ca831c2374fdf354faef3671ab18015e18f08fc60dcf424ca89a6bb55c5a9148","target":"graph","created_at":"2026-07-05T06:40:56Z","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/2308.07099/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We consider the following problem about dispersing points. Given a set of points in the plane, the task is to identify whether by moving a small number of points by small distance, we can obtain an arrangement of points such that no pair of points is ``close\" to each other. More precisely, for a family of $n$ points, an integer $k$, and a real number $d > 0$, we ask whether at most $k$ points could be relocated, each point at distance at most $d$ from its original location, such that the distance between each pair of points is at least a fixed constant, say $1$. A number of approximation algor","authors_text":"Fedor V. Fomin, Meirav Zehavi, Petr A. Golovach, Saket Saurabh, Tanmay Inamdar","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.CG","submitted_at":"2023-08-14T12:23:53Z","title":"Kernelization for Spreading Points"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2308.07099","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:a268fb7b7f8f6d1ee02546ce94a887a2acd0bcf738ddf2b34c7098619acd67cd","target":"record","created_at":"2026-07-05T06:40:56Z","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":"1827e3e1cad4ee5b7e9d0ca49a3ae9a19e5d47effd54e5f6b191f6f97bcb279e","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.CG","submitted_at":"2023-08-14T12:23:53Z","title_canon_sha256":"a552a6450187f4f56a93cde43b30a43ee593ec7ef061e3b7416fd247c64d9cd3"},"schema_version":"1.0","source":{"id":"2308.07099","kind":"arxiv","version":1}},"canonical_sha256":"7265773812727a325439e94df5b4d3d964547de8f4e22f06a508555883548f43","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7265773812727a325439e94df5b4d3d964547de8f4e22f06a508555883548f43","first_computed_at":"2026-07-05T06:40:56.233388Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T06:40:56.233388Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"pDlWvRa8mDuWYZGEdxIXy4mZjKYP2U9ieq3VbdQVz/kd5nbYKM3ix483/+OJwtsrN/+9S5iuYx9bvSNvkyaEAA==","signature_status":"signed_v1","signed_at":"2026-07-05T06:40:56.233795Z","signed_message":"canonical_sha256_bytes"},"source_id":"2308.07099","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a268fb7b7f8f6d1ee02546ce94a887a2acd0bcf738ddf2b34c7098619acd67cd","sha256:ca831c2374fdf354faef3671ab18015e18f08fc60dcf424ca89a6bb55c5a9148"],"state_sha256":"99ff87533df3c3289878722bd7bffe623dc06d566af470d731e3518808c1de75"}