{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:AF2JKUFAL7Y3RHBCLLEPA2Z3JD","short_pith_number":"pith:AF2JKUFA","schema_version":"1.0","canonical_sha256":"01749550a05ff1b89c225ac8f06b3b48e090cd00358314abff8babb21f870296","source":{"kind":"arxiv","id":"1711.04020","version":1},"attestation_state":"computed","paper":{"title":"Projective transformations of rotation sets","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DS","authors_text":"Fran\\c{c}ois B\\'eguin, Fr\\'ed\\'eric Le Roux, Sylvain Crovisier","submitted_at":"2017-11-10T21:31:57Z","abstract_excerpt":"We give a new proof and extend a result of J. Kwapisz: whenever a set C is realized as the rotation set of some torus homeomorphism, the image of C under certain projective transformations is also realized as a rotations set."},"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":"1711.04020","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2017-11-10T21:31:57Z","cross_cats_sorted":[],"title_canon_sha256":"67a3d1014490c747a79a57d35ad74b61016a12801b8b3f7802109cd65c331398","abstract_canon_sha256":"03f3e03267e4be475bbe9dccd02c2b08c0bd68eb5939d24cef70bded91748a36"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:30:50.311815Z","signature_b64":"VIOdPhsCSZSJp1KHytsrvo53CB6pkX1nZRBHy+cJmjmz7YpVllUr8SacosTLod69MNMCPcFNf1Cfz+gnt6A+DA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"01749550a05ff1b89c225ac8f06b3b48e090cd00358314abff8babb21f870296","last_reissued_at":"2026-05-18T00:30:50.311119Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:30:50.311119Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Projective transformations of rotation sets","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DS","authors_text":"Fran\\c{c}ois B\\'eguin, Fr\\'ed\\'eric Le Roux, Sylvain Crovisier","submitted_at":"2017-11-10T21:31:57Z","abstract_excerpt":"We give a new proof and extend a result of J. Kwapisz: whenever a set C is realized as the rotation set of some torus homeomorphism, the image of C under certain projective transformations is also realized as a rotations set."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1711.04020","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":"1711.04020","created_at":"2026-05-18T00:30:50.311244+00:00"},{"alias_kind":"arxiv_version","alias_value":"1711.04020v1","created_at":"2026-05-18T00:30:50.311244+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1711.04020","created_at":"2026-05-18T00:30:50.311244+00:00"},{"alias_kind":"pith_short_12","alias_value":"AF2JKUFAL7Y3","created_at":"2026-05-18T12:31:05.417338+00:00"},{"alias_kind":"pith_short_16","alias_value":"AF2JKUFAL7Y3RHBC","created_at":"2026-05-18T12:31:05.417338+00:00"},{"alias_kind":"pith_short_8","alias_value":"AF2JKUFA","created_at":"2026-05-18T12:31:05.417338+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/AF2JKUFAL7Y3RHBCLLEPA2Z3JD","json":"https://pith.science/pith/AF2JKUFAL7Y3RHBCLLEPA2Z3JD.json","graph_json":"https://pith.science/api/pith-number/AF2JKUFAL7Y3RHBCLLEPA2Z3JD/graph.json","events_json":"https://pith.science/api/pith-number/AF2JKUFAL7Y3RHBCLLEPA2Z3JD/events.json","paper":"https://pith.science/paper/AF2JKUFA"},"agent_actions":{"view_html":"https://pith.science/pith/AF2JKUFAL7Y3RHBCLLEPA2Z3JD","download_json":"https://pith.science/pith/AF2JKUFAL7Y3RHBCLLEPA2Z3JD.json","view_paper":"https://pith.science/paper/AF2JKUFA","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1711.04020&json=true","fetch_graph":"https://pith.science/api/pith-number/AF2JKUFAL7Y3RHBCLLEPA2Z3JD/graph.json","fetch_events":"https://pith.science/api/pith-number/AF2JKUFAL7Y3RHBCLLEPA2Z3JD/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/AF2JKUFAL7Y3RHBCLLEPA2Z3JD/action/timestamp_anchor","attest_storage":"https://pith.science/pith/AF2JKUFAL7Y3RHBCLLEPA2Z3JD/action/storage_attestation","attest_author":"https://pith.science/pith/AF2JKUFAL7Y3RHBCLLEPA2Z3JD/action/author_attestation","sign_citation":"https://pith.science/pith/AF2JKUFAL7Y3RHBCLLEPA2Z3JD/action/citation_signature","submit_replication":"https://pith.science/pith/AF2JKUFAL7Y3RHBCLLEPA2Z3JD/action/replication_record"}},"created_at":"2026-05-18T00:30:50.311244+00:00","updated_at":"2026-05-18T00:30:50.311244+00:00"}