{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2022:SI56W4GRAQTASLD5TOWUEWOZRO","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":"195fab3993ddd2a461f8e6926af5c8e60aac0e640748065e5eec3cf9ee5e583c","cross_cats_sorted":["cs.DM"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.CO","submitted_at":"2022-11-28T15:56:28Z","title_canon_sha256":"f0662b5afe91d7e51880c1e8533da277ed5a45bc3c7d6bf1ce0e95881da42306"},"schema_version":"1.0","source":{"id":"2211.15477","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2211.15477","created_at":"2026-07-05T06:58:36Z"},{"alias_kind":"arxiv_version","alias_value":"2211.15477v2","created_at":"2026-07-05T06:58:36Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2211.15477","created_at":"2026-07-05T06:58:36Z"},{"alias_kind":"pith_short_12","alias_value":"SI56W4GRAQTA","created_at":"2026-07-05T06:58:36Z"},{"alias_kind":"pith_short_16","alias_value":"SI56W4GRAQTASLD5","created_at":"2026-07-05T06:58:36Z"},{"alias_kind":"pith_short_8","alias_value":"SI56W4GR","created_at":"2026-07-05T06:58:36Z"}],"graph_snapshots":[{"event_id":"sha256:466badb251ac16f063651c99323e02206324dfb0ff7aaa120d2e9ff61a69981f","target":"graph","created_at":"2026-07-05T06:58:36Z","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/2211.15477/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The $t$-onion star is the digraph obtained from a star with $2t$ leaves by replacing every edge by a triple of arcs, where in $t$ triples we orient two arcs away from the center, and in the remaining $t$ triples we orient two arcs towards the center. Note that the $t$-onion star contains, as an immersion, every digraph on $t$ vertices where each vertex has outdegree at most $2$ and indegree at most $1$, or vice versa. We investigate the structure in digraphs that exclude a fixed onion star as an immersion. The main discovery is that in such digraphs, for some duality statements true in the und","authors_text":"Karolina Okrasa, {\\L}ukasz Bo\\.zyk, Micha{\\l} Pilipczuk, Oscar Defrain","cross_cats":["cs.DM"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.CO","submitted_at":"2022-11-28T15:56:28Z","title":"On digraphs without onion star immersions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2211.15477","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":"sha256:093577bf16d7b9723de59c11edcb78bfa87c08d1859f5176a5e590876bd19a35","target":"record","created_at":"2026-07-05T06:58:36Z","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":"195fab3993ddd2a461f8e6926af5c8e60aac0e640748065e5eec3cf9ee5e583c","cross_cats_sorted":["cs.DM"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.CO","submitted_at":"2022-11-28T15:56:28Z","title_canon_sha256":"f0662b5afe91d7e51880c1e8533da277ed5a45bc3c7d6bf1ce0e95881da42306"},"schema_version":"1.0","source":{"id":"2211.15477","kind":"arxiv","version":2}},"canonical_sha256":"923beb70d10426092c7d9bad4259d98bab76eff7b1a57c3d829cf928a495a0b4","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"923beb70d10426092c7d9bad4259d98bab76eff7b1a57c3d829cf928a495a0b4","first_computed_at":"2026-07-05T06:58:36.830505Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T06:58:36.830505Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"zKNah6Efkv8hXRvK9AoQhU0Vn+aVqG9G56wNlR/uihQWT72vE9/hM1jgOzJo0aICxmfxzOP4HLLRZo93VIL5Bw==","signature_status":"signed_v1","signed_at":"2026-07-05T06:58:36.831001Z","signed_message":"canonical_sha256_bytes"},"source_id":"2211.15477","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:093577bf16d7b9723de59c11edcb78bfa87c08d1859f5176a5e590876bd19a35","sha256:466badb251ac16f063651c99323e02206324dfb0ff7aaa120d2e9ff61a69981f"],"state_sha256":"e6f5941af25b7741fbf710c37aa031f6696729183f705d3d7d32479ee62a09ff"}