{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:727BAFPL2EKWLJKSVBP5UXYSYP","short_pith_number":"pith:727BAFPL","schema_version":"1.0","canonical_sha256":"febe1015ebd11565a552a85fda5f12c3d2be99ccd926746c5f72c3d8c75aff30","source":{"kind":"arxiv","id":"1409.6812","version":1},"attestation_state":"computed","paper":{"title":"Yet another proof of Brooks' theorem","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CO","authors_text":"Landon Rabern","submitted_at":"2014-09-24T03:54:06Z","abstract_excerpt":"Arguably the simplest variation of this style of proof as we avoid reducing to the cubic case entirely."},"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":"1409.6812","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2014-09-24T03:54:06Z","cross_cats_sorted":[],"title_canon_sha256":"52883752de4eee83e2fa86a3380227d01bf1247d32540c58aab22d8b3a6110bd","abstract_canon_sha256":"7ab396e3063a487024055e1b6c59eaa7f5b5e81ce39e574d095b9a3fb3790742"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:42:00.371860Z","signature_b64":"rAIozlFYBOxSwOC2ZnqgLAOBfLIJtwasuUwiUa0+Z4yF9bpNhDVuC56CxHMU2TZ/DrdfbVnlx3ruIm0TGyPeBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"febe1015ebd11565a552a85fda5f12c3d2be99ccd926746c5f72c3d8c75aff30","last_reissued_at":"2026-05-18T02:42:00.371451Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:42:00.371451Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Yet another proof of Brooks' theorem","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CO","authors_text":"Landon Rabern","submitted_at":"2014-09-24T03:54:06Z","abstract_excerpt":"Arguably the simplest variation of this style of proof as we avoid reducing to the cubic case entirely."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1409.6812","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":""},"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":"1409.6812","created_at":"2026-05-18T02:42:00.371507+00:00"},{"alias_kind":"arxiv_version","alias_value":"1409.6812v1","created_at":"2026-05-18T02:42:00.371507+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1409.6812","created_at":"2026-05-18T02:42:00.371507+00:00"},{"alias_kind":"pith_short_12","alias_value":"727BAFPL2EKW","created_at":"2026-05-18T12:28:16.859392+00:00"},{"alias_kind":"pith_short_16","alias_value":"727BAFPL2EKWLJKS","created_at":"2026-05-18T12:28:16.859392+00:00"},{"alias_kind":"pith_short_8","alias_value":"727BAFPL","created_at":"2026-05-18T12:28:16.859392+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/727BAFPL2EKWLJKSVBP5UXYSYP","json":"https://pith.science/pith/727BAFPL2EKWLJKSVBP5UXYSYP.json","graph_json":"https://pith.science/api/pith-number/727BAFPL2EKWLJKSVBP5UXYSYP/graph.json","events_json":"https://pith.science/api/pith-number/727BAFPL2EKWLJKSVBP5UXYSYP/events.json","paper":"https://pith.science/paper/727BAFPL"},"agent_actions":{"view_html":"https://pith.science/pith/727BAFPL2EKWLJKSVBP5UXYSYP","download_json":"https://pith.science/pith/727BAFPL2EKWLJKSVBP5UXYSYP.json","view_paper":"https://pith.science/paper/727BAFPL","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1409.6812&json=true","fetch_graph":"https://pith.science/api/pith-number/727BAFPL2EKWLJKSVBP5UXYSYP/graph.json","fetch_events":"https://pith.science/api/pith-number/727BAFPL2EKWLJKSVBP5UXYSYP/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/727BAFPL2EKWLJKSVBP5UXYSYP/action/timestamp_anchor","attest_storage":"https://pith.science/pith/727BAFPL2EKWLJKSVBP5UXYSYP/action/storage_attestation","attest_author":"https://pith.science/pith/727BAFPL2EKWLJKSVBP5UXYSYP/action/author_attestation","sign_citation":"https://pith.science/pith/727BAFPL2EKWLJKSVBP5UXYSYP/action/citation_signature","submit_replication":"https://pith.science/pith/727BAFPL2EKWLJKSVBP5UXYSYP/action/replication_record"}},"created_at":"2026-05-18T02:42:00.371507+00:00","updated_at":"2026-05-18T02:42:00.371507+00:00"}