{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2012:4YLQP5LSQ5GFEKV4FSVKZ2BMXI","short_pith_number":"pith:4YLQP5LS","schema_version":"1.0","canonical_sha256":"e61707f572874c522abc2caaace82cba0c246bb1efe68faabf5723a0047701a2","source":{"kind":"arxiv","id":"1203.1308","version":3},"attestation_state":"computed","paper":{"title":"The fractional chromatic number of triangle-free subcubic graphs","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CO","authors_text":"Daniel Kr\\'al', David Ferguson, Tom\\'a\\v{s} Kaiser","submitted_at":"2012-03-06T20:34:06Z","abstract_excerpt":"Heckman and Thomas conjectured that the fractional chromatic number of any triangle-free subcubic graph is at most 14/5. Improving on estimates of Hatami and Zhu and of Lu and Peng, we prove that the fractional chromatic number of any triangle-free subcubic graph is at most 32/11 (which is roughly 2.909)."},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1203.1308","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2012-03-06T20:34:06Z","cross_cats_sorted":[],"title_canon_sha256":"54a0fa0e62724292aca0e617699ae90dd2d656786e10f699cb82103dd465dd66","abstract_canon_sha256":"98f5ec9a773ea6a4582a9cfa00a1abdd522bcae9fe60c92442329d6d728ac191"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:26:42.884853Z","signature_b64":"bzg8SCa2RiPP3mfJeHyB4rz6ilVsTf6AmlZvEceVL3R24+qYqW3NoNA9h1kS4INbuiKqcIF80z7BbUWjSMq9Dg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e61707f572874c522abc2caaace82cba0c246bb1efe68faabf5723a0047701a2","last_reissued_at":"2026-05-18T03:26:42.884071Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:26:42.884071Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"The fractional chromatic number of triangle-free subcubic graphs","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CO","authors_text":"Daniel Kr\\'al', David Ferguson, Tom\\'a\\v{s} Kaiser","submitted_at":"2012-03-06T20:34:06Z","abstract_excerpt":"Heckman and Thomas conjectured that the fractional chromatic number of any triangle-free subcubic graph is at most 14/5. Improving on estimates of Hatami and Zhu and of Lu and Peng, we prove that the fractional chromatic number of any triangle-free subcubic graph is at most 32/11 (which is roughly 2.909)."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1203.1308","kind":"arxiv","version":3},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1203.1308","created_at":"2026-05-18T03:26:42.884178+00:00"},{"alias_kind":"arxiv_version","alias_value":"1203.1308v3","created_at":"2026-05-18T03:26:42.884178+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1203.1308","created_at":"2026-05-18T03:26:42.884178+00:00"},{"alias_kind":"pith_short_12","alias_value":"4YLQP5LSQ5GF","created_at":"2026-05-18T12:26:53.410803+00:00"},{"alias_kind":"pith_short_16","alias_value":"4YLQP5LSQ5GFEKV4","created_at":"2026-05-18T12:26:53.410803+00:00"},{"alias_kind":"pith_short_8","alias_value":"4YLQP5LS","created_at":"2026-05-18T12:26:53.410803+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/4YLQP5LSQ5GFEKV4FSVKZ2BMXI","json":"https://pith.science/pith/4YLQP5LSQ5GFEKV4FSVKZ2BMXI.json","graph_json":"https://pith.science/api/pith-number/4YLQP5LSQ5GFEKV4FSVKZ2BMXI/graph.json","events_json":"https://pith.science/api/pith-number/4YLQP5LSQ5GFEKV4FSVKZ2BMXI/events.json","paper":"https://pith.science/paper/4YLQP5LS"},"agent_actions":{"view_html":"https://pith.science/pith/4YLQP5LSQ5GFEKV4FSVKZ2BMXI","download_json":"https://pith.science/pith/4YLQP5LSQ5GFEKV4FSVKZ2BMXI.json","view_paper":"https://pith.science/paper/4YLQP5LS","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1203.1308&json=true","fetch_graph":"https://pith.science/api/pith-number/4YLQP5LSQ5GFEKV4FSVKZ2BMXI/graph.json","fetch_events":"https://pith.science/api/pith-number/4YLQP5LSQ5GFEKV4FSVKZ2BMXI/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/4YLQP5LSQ5GFEKV4FSVKZ2BMXI/action/timestamp_anchor","attest_storage":"https://pith.science/pith/4YLQP5LSQ5GFEKV4FSVKZ2BMXI/action/storage_attestation","attest_author":"https://pith.science/pith/4YLQP5LSQ5GFEKV4FSVKZ2BMXI/action/author_attestation","sign_citation":"https://pith.science/pith/4YLQP5LSQ5GFEKV4FSVKZ2BMXI/action/citation_signature","submit_replication":"https://pith.science/pith/4YLQP5LSQ5GFEKV4FSVKZ2BMXI/action/replication_record"}},"created_at":"2026-05-18T03:26:42.884178+00:00","updated_at":"2026-05-18T03:26:42.884178+00:00"}