{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2020:6PB3BF7YQU5R6CPPCQQHG4VSLL","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":"476a4239ed0ace5028e18821a62930b5f748be1a83873fdbe1249d05e805f4b6","cross_cats_sorted":["cs.DC"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DS","submitted_at":"2020-07-30T06:18:23Z","title_canon_sha256":"f065d8dbfd2f6eae3630fc46508840d2f1e0b6e7c64291ccd5bfb93e93bd17aa"},"schema_version":"1.0","source":{"id":"2007.15251","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2007.15251","created_at":"2026-07-05T01:23:28Z"},{"alias_kind":"arxiv_version","alias_value":"2007.15251v1","created_at":"2026-07-05T01:23:28Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2007.15251","created_at":"2026-07-05T01:23:28Z"},{"alias_kind":"pith_short_12","alias_value":"6PB3BF7YQU5R","created_at":"2026-07-05T01:23:28Z"},{"alias_kind":"pith_short_16","alias_value":"6PB3BF7YQU5R6CPP","created_at":"2026-07-05T01:23:28Z"},{"alias_kind":"pith_short_8","alias_value":"6PB3BF7Y","created_at":"2026-07-05T01:23:28Z"}],"graph_snapshots":[{"event_id":"sha256:35a85bcb322e322ed682bf39890fb8cb5b8a758d4e77a7c797d1764894cfbba9","target":"graph","created_at":"2026-07-05T01:23:28Z","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/2007.15251/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Linial's famous color reduction algorithm reduces a given $m$-coloring of a graph with maximum degree $\\Delta$ to a $O(\\Delta^2\\log m)$-coloring, in a single round in the LOCAL model. We show a similar result when nodes are restricted to choose their color from a list of allowed colors: given an $m$-coloring in a directed graph of maximum outdegree $\\beta$, if every node has a list of size $\\Omega(\\beta^2 (\\log \\beta+\\log\\log m + \\log \\log |\\mathcal{C}|))$ from a color space $\\mathcal{C}$ then they can select a color in two rounds in the LOCAL model. Moreover, the communication of a node essen","authors_text":"Tigran Tonoyan, Yannic Maus","cross_cats":["cs.DC"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DS","submitted_at":"2020-07-30T06:18:23Z","title":"Local Conflict Coloring Revisited: Linial for Lists"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2007.15251","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":"sha256:996d740730b00947563cebea4fe88b9aa3fa85d988b146421611f2dc658a81b9","target":"record","created_at":"2026-07-05T01:23:28Z","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":"476a4239ed0ace5028e18821a62930b5f748be1a83873fdbe1249d05e805f4b6","cross_cats_sorted":["cs.DC"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DS","submitted_at":"2020-07-30T06:18:23Z","title_canon_sha256":"f065d8dbfd2f6eae3630fc46508840d2f1e0b6e7c64291ccd5bfb93e93bd17aa"},"schema_version":"1.0","source":{"id":"2007.15251","kind":"arxiv","version":1}},"canonical_sha256":"f3c3b097f8853b1f09ef14207372b25acefc6afa2a12b7e1e043d405289b3c57","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f3c3b097f8853b1f09ef14207372b25acefc6afa2a12b7e1e043d405289b3c57","first_computed_at":"2026-07-05T01:23:28.879271Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T01:23:28.879271Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"hcp6pDaC8locpw8lyIzYD0HGju9whM+qBMUF8e5mr/Vn6pqWdf1te2cusbyTW0gIOCu55SLdsWKyFNbfnVcEDg==","signature_status":"signed_v1","signed_at":"2026-07-05T01:23:28.879698Z","signed_message":"canonical_sha256_bytes"},"source_id":"2007.15251","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:996d740730b00947563cebea4fe88b9aa3fa85d988b146421611f2dc658a81b9","sha256:35a85bcb322e322ed682bf39890fb8cb5b8a758d4e77a7c797d1764894cfbba9"],"state_sha256":"c7d267f7d67a93430fa874ab7840ccb06967cb63a8b5072cf86e162fc8758cbe"}