{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2011:F3MK3QM27FUAFSCNVGLSPXC6BE","short_pith_number":"pith:F3MK3QM2","schema_version":"1.0","canonical_sha256":"2ed8adc19af96802c84da99727dc5e0930db07110a7aa10263e2760c023ad39c","source":{"kind":"arxiv","id":"1110.0614","version":1},"attestation_state":"computed","paper":{"title":"Oscillations and their applications in partition calculus","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.LO","authors_text":"Boban Velickovic, Laura Fontanella","submitted_at":"2011-10-04T09:16:06Z","abstract_excerpt":"Oscillations are a powerful tool for building examples of colorings witnessing negative partition relations. We survey several results illustrating the general technique and present a number of applications."},"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":"1110.0614","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.LO","submitted_at":"2011-10-04T09:16:06Z","cross_cats_sorted":[],"title_canon_sha256":"cfad773aa72b85ecc34a94ee5417239f72682d6c14c1e09b845a5fe3a06acc16","abstract_canon_sha256":"b0764308324c66f396b620ec945fa941ca023483a2f172451c9a6cd9dc20b47e"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:11:41.379259Z","signature_b64":"KwQzRh5IZWDqPPaGIbTMq/1EGfise685NsuMGdVN+BC1YUMm+uaMl78Cpfq72+NvjdJbqGkqUZfPP9iT2J5fBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2ed8adc19af96802c84da99727dc5e0930db07110a7aa10263e2760c023ad39c","last_reissued_at":"2026-05-18T04:11:41.378523Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:11:41.378523Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Oscillations and their applications in partition calculus","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.LO","authors_text":"Boban Velickovic, Laura Fontanella","submitted_at":"2011-10-04T09:16:06Z","abstract_excerpt":"Oscillations are a powerful tool for building examples of colorings witnessing negative partition relations. We survey several results illustrating the general technique and present a number of applications."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1110.0614","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":"1110.0614","created_at":"2026-05-18T04:11:41.378599+00:00"},{"alias_kind":"arxiv_version","alias_value":"1110.0614v1","created_at":"2026-05-18T04:11:41.378599+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1110.0614","created_at":"2026-05-18T04:11:41.378599+00:00"},{"alias_kind":"pith_short_12","alias_value":"F3MK3QM27FUA","created_at":"2026-05-18T12:26:28.662955+00:00"},{"alias_kind":"pith_short_16","alias_value":"F3MK3QM27FUAFSCN","created_at":"2026-05-18T12:26:28.662955+00:00"},{"alias_kind":"pith_short_8","alias_value":"F3MK3QM2","created_at":"2026-05-18T12:26:28.662955+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/F3MK3QM27FUAFSCNVGLSPXC6BE","json":"https://pith.science/pith/F3MK3QM27FUAFSCNVGLSPXC6BE.json","graph_json":"https://pith.science/api/pith-number/F3MK3QM27FUAFSCNVGLSPXC6BE/graph.json","events_json":"https://pith.science/api/pith-number/F3MK3QM27FUAFSCNVGLSPXC6BE/events.json","paper":"https://pith.science/paper/F3MK3QM2"},"agent_actions":{"view_html":"https://pith.science/pith/F3MK3QM27FUAFSCNVGLSPXC6BE","download_json":"https://pith.science/pith/F3MK3QM27FUAFSCNVGLSPXC6BE.json","view_paper":"https://pith.science/paper/F3MK3QM2","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1110.0614&json=true","fetch_graph":"https://pith.science/api/pith-number/F3MK3QM27FUAFSCNVGLSPXC6BE/graph.json","fetch_events":"https://pith.science/api/pith-number/F3MK3QM27FUAFSCNVGLSPXC6BE/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/F3MK3QM27FUAFSCNVGLSPXC6BE/action/timestamp_anchor","attest_storage":"https://pith.science/pith/F3MK3QM27FUAFSCNVGLSPXC6BE/action/storage_attestation","attest_author":"https://pith.science/pith/F3MK3QM27FUAFSCNVGLSPXC6BE/action/author_attestation","sign_citation":"https://pith.science/pith/F3MK3QM27FUAFSCNVGLSPXC6BE/action/citation_signature","submit_replication":"https://pith.science/pith/F3MK3QM27FUAFSCNVGLSPXC6BE/action/replication_record"}},"created_at":"2026-05-18T04:11:41.378599+00:00","updated_at":"2026-05-18T04:11:41.378599+00:00"}