{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:L22GAOEOJEM6D2NXX2MSKB7I4C","short_pith_number":"pith:L22GAOEO","schema_version":"1.0","canonical_sha256":"5eb460388e4919e1e9b7be992507e8e097201bac7d54890955d72d561503644a","source":{"kind":"arxiv","id":"1403.0273","version":2},"attestation_state":"computed","paper":{"title":"Mixed, Multi-color, and Bipartite Ramsey Numbers Involving Trees of Small Diameter","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CO","authors_text":"Aaron Schneider, Jeremy F. Alm, Nicholas Hommowun","submitted_at":"2014-03-02T22:30:53Z","abstract_excerpt":"In this paper we study Ramsey numbers for trees of diameter 3 (bistars) vs., respectively, trees of diameter 2 (stars), complete graphs, and many complete graphs. In the case of bistars vs. many complete graphs, we determine this number exactly as a function of the Ramsey number for the complete graphs. We also determine the order of growth of the bipartite $k$-color Ramsey number for a bistar."},"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":"1403.0273","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2014-03-02T22:30:53Z","cross_cats_sorted":[],"title_canon_sha256":"7829297e46f0860f8cfa66aaf9649208510ae1c4494669742cd709b6aad04451","abstract_canon_sha256":"1c4d5e7aaac6f895690a760b85cb4289cbe8fd3bcf6ccc341a84c51c9a2646ae"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:54:46.477337Z","signature_b64":"eoS/jcDeM5vR8lXupzOWHX/nhItJrPClqL9UUQ9ZZJg5Mi1V32zrWb8dsbRnq/BmX0/bC6E9+d9oKEI3IlxjAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5eb460388e4919e1e9b7be992507e8e097201bac7d54890955d72d561503644a","last_reissued_at":"2026-05-18T02:54:46.476853Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:54:46.476853Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Mixed, Multi-color, and Bipartite Ramsey Numbers Involving Trees of Small Diameter","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CO","authors_text":"Aaron Schneider, Jeremy F. Alm, Nicholas Hommowun","submitted_at":"2014-03-02T22:30:53Z","abstract_excerpt":"In this paper we study Ramsey numbers for trees of diameter 3 (bistars) vs., respectively, trees of diameter 2 (stars), complete graphs, and many complete graphs. In the case of bistars vs. many complete graphs, we determine this number exactly as a function of the Ramsey number for the complete graphs. We also determine the order of growth of the bipartite $k$-color Ramsey number for a bistar."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1403.0273","kind":"arxiv","version":2},"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":"1403.0273","created_at":"2026-05-18T02:54:46.476917+00:00"},{"alias_kind":"arxiv_version","alias_value":"1403.0273v2","created_at":"2026-05-18T02:54:46.476917+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1403.0273","created_at":"2026-05-18T02:54:46.476917+00:00"},{"alias_kind":"pith_short_12","alias_value":"L22GAOEOJEM6","created_at":"2026-05-18T12:28:35.611951+00:00"},{"alias_kind":"pith_short_16","alias_value":"L22GAOEOJEM6D2NX","created_at":"2026-05-18T12:28:35.611951+00:00"},{"alias_kind":"pith_short_8","alias_value":"L22GAOEO","created_at":"2026-05-18T12:28:35.611951+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/L22GAOEOJEM6D2NXX2MSKB7I4C","json":"https://pith.science/pith/L22GAOEOJEM6D2NXX2MSKB7I4C.json","graph_json":"https://pith.science/api/pith-number/L22GAOEOJEM6D2NXX2MSKB7I4C/graph.json","events_json":"https://pith.science/api/pith-number/L22GAOEOJEM6D2NXX2MSKB7I4C/events.json","paper":"https://pith.science/paper/L22GAOEO"},"agent_actions":{"view_html":"https://pith.science/pith/L22GAOEOJEM6D2NXX2MSKB7I4C","download_json":"https://pith.science/pith/L22GAOEOJEM6D2NXX2MSKB7I4C.json","view_paper":"https://pith.science/paper/L22GAOEO","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1403.0273&json=true","fetch_graph":"https://pith.science/api/pith-number/L22GAOEOJEM6D2NXX2MSKB7I4C/graph.json","fetch_events":"https://pith.science/api/pith-number/L22GAOEOJEM6D2NXX2MSKB7I4C/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/L22GAOEOJEM6D2NXX2MSKB7I4C/action/timestamp_anchor","attest_storage":"https://pith.science/pith/L22GAOEOJEM6D2NXX2MSKB7I4C/action/storage_attestation","attest_author":"https://pith.science/pith/L22GAOEOJEM6D2NXX2MSKB7I4C/action/author_attestation","sign_citation":"https://pith.science/pith/L22GAOEOJEM6D2NXX2MSKB7I4C/action/citation_signature","submit_replication":"https://pith.science/pith/L22GAOEOJEM6D2NXX2MSKB7I4C/action/replication_record"}},"created_at":"2026-05-18T02:54:46.476917+00:00","updated_at":"2026-05-18T02:54:46.476917+00:00"}