{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:XQVOAZJSQFDNW66OE3T2KBPID2","short_pith_number":"pith:XQVOAZJS","schema_version":"1.0","canonical_sha256":"bc2ae065328146db7bce26e7a505e81eafd4c6c6eb3d2b4f900300bd4f6162d7","source":{"kind":"arxiv","id":"1702.07986","version":2},"attestation_state":"computed","paper":{"title":"Strong rainbow connection numbers of toroidal meshes","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CO","authors_text":"Kaishun Wang, Min Xu, Yulong Wei","submitted_at":"2017-02-26T04:43:50Z","abstract_excerpt":"In 2011, Li et al. \\cite{LLL} obtained an upper bound of the strong rainbow connection number of an $r$-dimensional undirected toroidal mesh. In this paper, this bound is improved. As a result, we give a negative answer to their problem."},"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":"1702.07986","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2017-02-26T04:43:50Z","cross_cats_sorted":[],"title_canon_sha256":"d563d32c03f57620d5d23e77df3567b7371785ba905468fa53fda74c803ce784","abstract_canon_sha256":"63b370652ae31ab155cb081954f441bffac71b6d9a3b20e7dc2d6694d27e1d67"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:49:46.324902Z","signature_b64":"g6tzmuS0TbU3i/ngiFcn5oUJt3mLIt/NJpBOXkLlcnX2ZzLOaQJjgSDlu0hPsYfZwMzblckU65Gc3Lcgs194Aw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"bc2ae065328146db7bce26e7a505e81eafd4c6c6eb3d2b4f900300bd4f6162d7","last_reissued_at":"2026-05-18T00:49:46.324331Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:49:46.324331Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Strong rainbow connection numbers of toroidal meshes","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CO","authors_text":"Kaishun Wang, Min Xu, Yulong Wei","submitted_at":"2017-02-26T04:43:50Z","abstract_excerpt":"In 2011, Li et al. \\cite{LLL} obtained an upper bound of the strong rainbow connection number of an $r$-dimensional undirected toroidal mesh. In this paper, this bound is improved. As a result, we give a negative answer to their problem."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1702.07986","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":"1702.07986","created_at":"2026-05-18T00:49:46.324403+00:00"},{"alias_kind":"arxiv_version","alias_value":"1702.07986v2","created_at":"2026-05-18T00:49:46.324403+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1702.07986","created_at":"2026-05-18T00:49:46.324403+00:00"},{"alias_kind":"pith_short_12","alias_value":"XQVOAZJSQFDN","created_at":"2026-05-18T12:31:56.362134+00:00"},{"alias_kind":"pith_short_16","alias_value":"XQVOAZJSQFDNW66O","created_at":"2026-05-18T12:31:56.362134+00:00"},{"alias_kind":"pith_short_8","alias_value":"XQVOAZJS","created_at":"2026-05-18T12:31:56.362134+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/XQVOAZJSQFDNW66OE3T2KBPID2","json":"https://pith.science/pith/XQVOAZJSQFDNW66OE3T2KBPID2.json","graph_json":"https://pith.science/api/pith-number/XQVOAZJSQFDNW66OE3T2KBPID2/graph.json","events_json":"https://pith.science/api/pith-number/XQVOAZJSQFDNW66OE3T2KBPID2/events.json","paper":"https://pith.science/paper/XQVOAZJS"},"agent_actions":{"view_html":"https://pith.science/pith/XQVOAZJSQFDNW66OE3T2KBPID2","download_json":"https://pith.science/pith/XQVOAZJSQFDNW66OE3T2KBPID2.json","view_paper":"https://pith.science/paper/XQVOAZJS","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1702.07986&json=true","fetch_graph":"https://pith.science/api/pith-number/XQVOAZJSQFDNW66OE3T2KBPID2/graph.json","fetch_events":"https://pith.science/api/pith-number/XQVOAZJSQFDNW66OE3T2KBPID2/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/XQVOAZJSQFDNW66OE3T2KBPID2/action/timestamp_anchor","attest_storage":"https://pith.science/pith/XQVOAZJSQFDNW66OE3T2KBPID2/action/storage_attestation","attest_author":"https://pith.science/pith/XQVOAZJSQFDNW66OE3T2KBPID2/action/author_attestation","sign_citation":"https://pith.science/pith/XQVOAZJSQFDNW66OE3T2KBPID2/action/citation_signature","submit_replication":"https://pith.science/pith/XQVOAZJSQFDNW66OE3T2KBPID2/action/replication_record"}},"created_at":"2026-05-18T00:49:46.324403+00:00","updated_at":"2026-05-18T00:49:46.324403+00:00"}