{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2019:H3OFER6SLN3TYTWEUN2N47SZHL","short_pith_number":"pith:H3OFER6S","canonical_record":{"source":{"id":"1911.01954","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2019-11-05T17:23:54Z","cross_cats_sorted":[],"title_canon_sha256":"468a6dae339438ac9ca0a7783bab96e95f34cdf101fe131a1e3c858dc8436acf","abstract_canon_sha256":"8a91acb16ea782b2924e80a4ace6bd1e55985b1a627e3704d19f1918d864fe43"},"schema_version":"1.0"},"canonical_sha256":"3edc5247d25b773c4ec4a374de7e593af95d66c62dfc3dc35c2464326fe69853","source":{"kind":"arxiv","id":"1911.01954","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1911.01954","created_at":"2026-07-05T00:17:23Z"},{"alias_kind":"arxiv_version","alias_value":"1911.01954v1","created_at":"2026-07-05T00:17:23Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1911.01954","created_at":"2026-07-05T00:17:23Z"},{"alias_kind":"pith_short_12","alias_value":"H3OFER6SLN3T","created_at":"2026-07-05T00:17:23Z"},{"alias_kind":"pith_short_16","alias_value":"H3OFER6SLN3TYTWE","created_at":"2026-07-05T00:17:23Z"},{"alias_kind":"pith_short_8","alias_value":"H3OFER6S","created_at":"2026-07-05T00:17:23Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2019:H3OFER6SLN3TYTWEUN2N47SZHL","target":"record","payload":{"canonical_record":{"source":{"id":"1911.01954","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2019-11-05T17:23:54Z","cross_cats_sorted":[],"title_canon_sha256":"468a6dae339438ac9ca0a7783bab96e95f34cdf101fe131a1e3c858dc8436acf","abstract_canon_sha256":"8a91acb16ea782b2924e80a4ace6bd1e55985b1a627e3704d19f1918d864fe43"},"schema_version":"1.0"},"canonical_sha256":"3edc5247d25b773c4ec4a374de7e593af95d66c62dfc3dc35c2464326fe69853","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T00:17:23.268748Z","signature_b64":"Ik0XnBzNmM1CVM5D4QaZmFW7Hh7N7U35bDotn8ZZ8PZDJheoucZWm27m/a1XE2jiHIGiC6cE3nlvFSJJk6twBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3edc5247d25b773c4ec4a374de7e593af95d66c62dfc3dc35c2464326fe69853","last_reissued_at":"2026-07-05T00:17:23.268358Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T00:17:23.268358Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1911.01954","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T00:17:23Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"BStmdl0FCFeQ4B0rScIE6NeFzr5t7ExEGEm/Qn4nZ4Vf3SYtorCILC7mZK+5xSHgea8lttI6jphOp1IhL518CQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-04T16:50:27.445451Z"},"content_sha256":"1f1c4bff699638454bec1e3e23c46a0177160dc83bff7bdbeb0a26cc6d988386","schema_version":"1.0","event_id":"sha256:1f1c4bff699638454bec1e3e23c46a0177160dc83bff7bdbeb0a26cc6d988386"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2019:H3OFER6SLN3TYTWEUN2N47SZHL","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Majority Colorings of Sparse Digraphs","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CO","authors_text":"Ander Lamaison, Michael Anastos, Raphael Steiner, Tibor Szab\\'o","submitted_at":"2019-11-05T17:23:54Z","abstract_excerpt":"A majority coloring of a directed graph is a vertex-coloring in which every vertex has the same color as at most half of its out-neighbors. Kreutzer, Oum, Seymour, van der Zypen and Wood proved that every digraph has a majority 4-coloring and conjectured that every digraph admits a majority 3-coloring. We verify this conjecture for digraphs with chromatic number at most 6 or dichromatic number at most 3. We obtain analogous results for list coloring: We show that every digraph with list chromatic number at most 6 or list dichromatic number at most 3 is majority 3-choosable. We deduce that digr"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1911.01954","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/1911.01954/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T00:17:23Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ai0IlhgYzRdxBCXEpbcCAtGjdbojO//rpxjdefqmZAwbjmjFpdPzgk3I/o+zn7N/JEOZvOjd1+bjegYZRtrrCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-04T16:50:27.446390Z"},"content_sha256":"2425bacb0130f519333da7d97415049de02460b0e06802849d99405658cb0c56","schema_version":"1.0","event_id":"sha256:2425bacb0130f519333da7d97415049de02460b0e06802849d99405658cb0c56"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/H3OFER6SLN3TYTWEUN2N47SZHL/bundle.json","state_url":"https://pith.science/pith/H3OFER6SLN3TYTWEUN2N47SZHL/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/H3OFER6SLN3TYTWEUN2N47SZHL/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-08-04T16:50:27Z","links":{"resolver":"https://pith.science/pith/H3OFER6SLN3TYTWEUN2N47SZHL","bundle":"https://pith.science/pith/H3OFER6SLN3TYTWEUN2N47SZHL/bundle.json","state":"https://pith.science/pith/H3OFER6SLN3TYTWEUN2N47SZHL/state.json","well_known_bundle":"https://pith.science/.well-known/pith/H3OFER6SLN3TYTWEUN2N47SZHL/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:H3OFER6SLN3TYTWEUN2N47SZHL","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":"8a91acb16ea782b2924e80a4ace6bd1e55985b1a627e3704d19f1918d864fe43","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2019-11-05T17:23:54Z","title_canon_sha256":"468a6dae339438ac9ca0a7783bab96e95f34cdf101fe131a1e3c858dc8436acf"},"schema_version":"1.0","source":{"id":"1911.01954","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1911.01954","created_at":"2026-07-05T00:17:23Z"},{"alias_kind":"arxiv_version","alias_value":"1911.01954v1","created_at":"2026-07-05T00:17:23Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1911.01954","created_at":"2026-07-05T00:17:23Z"},{"alias_kind":"pith_short_12","alias_value":"H3OFER6SLN3T","created_at":"2026-07-05T00:17:23Z"},{"alias_kind":"pith_short_16","alias_value":"H3OFER6SLN3TYTWE","created_at":"2026-07-05T00:17:23Z"},{"alias_kind":"pith_short_8","alias_value":"H3OFER6S","created_at":"2026-07-05T00:17:23Z"}],"graph_snapshots":[{"event_id":"sha256:2425bacb0130f519333da7d97415049de02460b0e06802849d99405658cb0c56","target":"graph","created_at":"2026-07-05T00:17:23Z","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/1911.01954/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"A majority coloring of a directed graph is a vertex-coloring in which every vertex has the same color as at most half of its out-neighbors. Kreutzer, Oum, Seymour, van der Zypen and Wood proved that every digraph has a majority 4-coloring and conjectured that every digraph admits a majority 3-coloring. We verify this conjecture for digraphs with chromatic number at most 6 or dichromatic number at most 3. We obtain analogous results for list coloring: We show that every digraph with list chromatic number at most 6 or list dichromatic number at most 3 is majority 3-choosable. We deduce that digr","authors_text":"Ander Lamaison, Michael Anastos, Raphael Steiner, Tibor Szab\\'o","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2019-11-05T17:23:54Z","title":"Majority Colorings of Sparse Digraphs"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1911.01954","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":"sha256:1f1c4bff699638454bec1e3e23c46a0177160dc83bff7bdbeb0a26cc6d988386","target":"record","created_at":"2026-07-05T00:17:23Z","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":"8a91acb16ea782b2924e80a4ace6bd1e55985b1a627e3704d19f1918d864fe43","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2019-11-05T17:23:54Z","title_canon_sha256":"468a6dae339438ac9ca0a7783bab96e95f34cdf101fe131a1e3c858dc8436acf"},"schema_version":"1.0","source":{"id":"1911.01954","kind":"arxiv","version":1}},"canonical_sha256":"3edc5247d25b773c4ec4a374de7e593af95d66c62dfc3dc35c2464326fe69853","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3edc5247d25b773c4ec4a374de7e593af95d66c62dfc3dc35c2464326fe69853","first_computed_at":"2026-07-05T00:17:23.268358Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T00:17:23.268358Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Ik0XnBzNmM1CVM5D4QaZmFW7Hh7N7U35bDotn8ZZ8PZDJheoucZWm27m/a1XE2jiHIGiC6cE3nlvFSJJk6twBQ==","signature_status":"signed_v1","signed_at":"2026-07-05T00:17:23.268748Z","signed_message":"canonical_sha256_bytes"},"source_id":"1911.01954","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1f1c4bff699638454bec1e3e23c46a0177160dc83bff7bdbeb0a26cc6d988386","sha256:2425bacb0130f519333da7d97415049de02460b0e06802849d99405658cb0c56"],"state_sha256":"047a671cf35ec92951f3af741e2ad5ae253e98c2c3786867289c16b0333a8ccf"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"miIYpXAsjSpmzQAH0MzrSX7h0gIvz26jSyNJnrXwGBGcmwaudaABzQ7kjcbnY01A4G3aVMLr0myHc2OCDmBKBQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-04T16:50:27.453430Z","bundle_sha256":"38c454857638d8ad6693a51d6045cde94496002ebf7282b012590e11e5f34104"}}