{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2009:QODGEZW6JSWKECXD3FZNPVV7LP","short_pith_number":"pith:QODGEZW6","schema_version":"1.0","canonical_sha256":"83866266de4caca20ae3d972d7d6bf5bf1a0bbe516236cd3d8b3ddbf33d151fc","source":{"kind":"arxiv","id":"0905.2047","version":1},"attestation_state":"computed","paper":{"title":"Knaster's problem for almost $(Z_p)^k$-orbits","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AT","authors_text":"A.Yu. Volovikov, R.N. Karasev","submitted_at":"2009-05-13T09:42:10Z","abstract_excerpt":"In this paper some new cases of Knaster's problem on continuous maps from spheres are established. In particular, we consider an almost orbit of a $p$-torus $X$ on the sphere, a continuous map $f$ from the sphere to the real line or real plane, and show that $X$ can be rotated so that $f$ becomes constant on $X$."},"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":"0905.2047","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2009-05-13T09:42:10Z","cross_cats_sorted":[],"title_canon_sha256":"26ca0d68ddecb7c2ff1583751c827e36e4efa3f52ba1c0bf42cf6bcdf408e26b","abstract_canon_sha256":"c86c99c4915e7167c0a131169a1c083bf64d2cce7691eb7c21cdbfbf08eab0e7"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:18:53.415258Z","signature_b64":"M3uIP4PrHbea2ALY2xu/31qhPgiArupR3TQxQ2exdifwrxt5AI/0PsFT8FP+RvV7C4TEU2zdzNgjHQAPyH9aBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"83866266de4caca20ae3d972d7d6bf5bf1a0bbe516236cd3d8b3ddbf33d151fc","last_reissued_at":"2026-05-18T04:18:53.414720Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:18:53.414720Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Knaster's problem for almost $(Z_p)^k$-orbits","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AT","authors_text":"A.Yu. Volovikov, R.N. Karasev","submitted_at":"2009-05-13T09:42:10Z","abstract_excerpt":"In this paper some new cases of Knaster's problem on continuous maps from spheres are established. In particular, we consider an almost orbit of a $p$-torus $X$ on the sphere, a continuous map $f$ from the sphere to the real line or real plane, and show that $X$ can be rotated so that $f$ becomes constant on $X$."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0905.2047","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":"0905.2047","created_at":"2026-05-18T04:18:53.414805+00:00"},{"alias_kind":"arxiv_version","alias_value":"0905.2047v1","created_at":"2026-05-18T04:18:53.414805+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0905.2047","created_at":"2026-05-18T04:18:53.414805+00:00"},{"alias_kind":"pith_short_12","alias_value":"QODGEZW6JSWK","created_at":"2026-05-18T12:26:01.383474+00:00"},{"alias_kind":"pith_short_16","alias_value":"QODGEZW6JSWKECXD","created_at":"2026-05-18T12:26:01.383474+00:00"},{"alias_kind":"pith_short_8","alias_value":"QODGEZW6","created_at":"2026-05-18T12:26:01.383474+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/QODGEZW6JSWKECXD3FZNPVV7LP","json":"https://pith.science/pith/QODGEZW6JSWKECXD3FZNPVV7LP.json","graph_json":"https://pith.science/api/pith-number/QODGEZW6JSWKECXD3FZNPVV7LP/graph.json","events_json":"https://pith.science/api/pith-number/QODGEZW6JSWKECXD3FZNPVV7LP/events.json","paper":"https://pith.science/paper/QODGEZW6"},"agent_actions":{"view_html":"https://pith.science/pith/QODGEZW6JSWKECXD3FZNPVV7LP","download_json":"https://pith.science/pith/QODGEZW6JSWKECXD3FZNPVV7LP.json","view_paper":"https://pith.science/paper/QODGEZW6","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=0905.2047&json=true","fetch_graph":"https://pith.science/api/pith-number/QODGEZW6JSWKECXD3FZNPVV7LP/graph.json","fetch_events":"https://pith.science/api/pith-number/QODGEZW6JSWKECXD3FZNPVV7LP/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/QODGEZW6JSWKECXD3FZNPVV7LP/action/timestamp_anchor","attest_storage":"https://pith.science/pith/QODGEZW6JSWKECXD3FZNPVV7LP/action/storage_attestation","attest_author":"https://pith.science/pith/QODGEZW6JSWKECXD3FZNPVV7LP/action/author_attestation","sign_citation":"https://pith.science/pith/QODGEZW6JSWKECXD3FZNPVV7LP/action/citation_signature","submit_replication":"https://pith.science/pith/QODGEZW6JSWKECXD3FZNPVV7LP/action/replication_record"}},"created_at":"2026-05-18T04:18:53.414805+00:00","updated_at":"2026-05-18T04:18:53.414805+00:00"}