{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:CCRLCAFDFJW3JYCKVFSDPGO4DT","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":"47e786a9acb36a50c1ff74b7631fc77d9881f4bba84e08cd222dbb86f8dedc40","cross_cats_sorted":["cs.LO"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.DM","submitted_at":"2026-01-26T10:53:32Z","title_canon_sha256":"a46d70b663a9035630ed49d1a1b8970aed0788709f8bbb4668ab436713c11e0d"},"schema_version":"1.0","source":{"id":"2601.18349","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2601.18349","created_at":"2026-05-20T00:00:32Z"},{"alias_kind":"arxiv_version","alias_value":"2601.18349v2","created_at":"2026-05-20T00:00:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2601.18349","created_at":"2026-05-20T00:00:32Z"},{"alias_kind":"pith_short_12","alias_value":"CCRLCAFDFJW3","created_at":"2026-05-20T00:00:32Z"},{"alias_kind":"pith_short_16","alias_value":"CCRLCAFDFJW3JYCK","created_at":"2026-05-20T00:00:32Z"},{"alias_kind":"pith_short_8","alias_value":"CCRLCAFD","created_at":"2026-05-20T00:00:32Z"}],"graph_snapshots":[{"event_id":"sha256:d00d49883e3a2944e8b3a46f6fa8a53e26f4a16a8150dce8748ea9df8348d1c4","target":"graph","created_at":"2026-05-20T00:00:32Z","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/2601.18349/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The Orbit Problem asks whether the orbit of a point under a matrix reaches a given target set. When the target is a single point, the problem was shown to be decidable in polynomial time by Kannan and Lipton. This decidability result was later extended by Chonev et al. to targets of dimension 3 (in arbitrary ambient dimension), but decidability remains open for subspaces of dimension 4. At the other extreme, the special case of the Orbit Problem in which the target set is a hyperplane of codimension 1 is equivalent to the Skolem Problem for linear recurrence sequences, whose decidability has b","authors_text":"Anton Varonka, Piotr Bacik","cross_cats":["cs.LO"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.DM","submitted_at":"2026-01-26T10:53:32Z","title":"On the Subspace Orbit Problem and the Simultaneous Skolem Problem"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2601.18349","kind":"arxiv","version":2},"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":"sha256:9c43551eef892b294759647a6ce12f4b420112adc0a0f8c165d936654241dc18","target":"record","created_at":"2026-05-20T00:00:32Z","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":"47e786a9acb36a50c1ff74b7631fc77d9881f4bba84e08cd222dbb86f8dedc40","cross_cats_sorted":["cs.LO"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.DM","submitted_at":"2026-01-26T10:53:32Z","title_canon_sha256":"a46d70b663a9035630ed49d1a1b8970aed0788709f8bbb4668ab436713c11e0d"},"schema_version":"1.0","source":{"id":"2601.18349","kind":"arxiv","version":2}},"canonical_sha256":"10a2b100a32a6db4e04aa9643799dc1cd9c6480b6d4198ca4030912b017616f1","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"10a2b100a32a6db4e04aa9643799dc1cd9c6480b6d4198ca4030912b017616f1","first_computed_at":"2026-05-20T00:00:32.374185Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-20T00:00:32.374185Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"BqXozV7XGHUchS4X0EZhu2MfkvXy0xdvu5e0o1MjEko1P/mAQw9eoxC57PpjSsgCTD3Qn63HWzPXcfPXay2oAg==","signature_status":"signed_v1","signed_at":"2026-05-20T00:00:32.374950Z","signed_message":"canonical_sha256_bytes"},"source_id":"2601.18349","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9c43551eef892b294759647a6ce12f4b420112adc0a0f8c165d936654241dc18","sha256:d00d49883e3a2944e8b3a46f6fa8a53e26f4a16a8150dce8748ea9df8348d1c4"],"state_sha256":"7da6576472124e05787c1c57e37eb9bb26103f979ad5defcc4b93291ad72ed61"}