{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:YLHUCVPEYZD6DXJR2MZJ6DDAN2","short_pith_number":"pith:YLHUCVPE","schema_version":"1.0","canonical_sha256":"c2cf4155e4c647e1dd31d3329f0c606ea22b542ad93de7e2d4196fbf76685e82","source":{"kind":"arxiv","id":"1609.00771","version":2},"attestation_state":"computed","paper":{"title":"Rotation Numbers of Elements in Thompson's Group ${\\bf T}$","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.GR"],"primary_cat":"math.DS","authors_text":"Jan-Li Lin, Jeffrey Diller","submitted_at":"2016-09-03T00:13:18Z","abstract_excerpt":"We give a simple combinatorial proof that the rotation number for each element in Thompson's group ${\\bf T}$ is rational."},"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":"1609.00771","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2016-09-03T00:13:18Z","cross_cats_sorted":["math.GR"],"title_canon_sha256":"b7709e37dcf2f45f3a72dd08f25d3228d4ff0c2d7126158f5548e126966aab7b","abstract_canon_sha256":"4fba2131fde7bd2c53c4530e0f934a03d5ff4d5d36df6f4c1b7cff5c999991f5"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:03:42.504322Z","signature_b64":"HiMA0xyHkSMg17naKh4A8L7heKyN1vNcUY7k6q47nczg2WYZe6xWLEcd7c6NX2bcWAwMoBix/9nr03R0QofWBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c2cf4155e4c647e1dd31d3329f0c606ea22b542ad93de7e2d4196fbf76685e82","last_reissued_at":"2026-05-18T01:03:42.503850Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:03:42.503850Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Rotation Numbers of Elements in Thompson's Group ${\\bf T}$","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.GR"],"primary_cat":"math.DS","authors_text":"Jan-Li Lin, Jeffrey Diller","submitted_at":"2016-09-03T00:13:18Z","abstract_excerpt":"We give a simple combinatorial proof that the rotation number for each element in Thompson's group ${\\bf T}$ is rational."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1609.00771","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":"1609.00771","created_at":"2026-05-18T01:03:42.503926+00:00"},{"alias_kind":"arxiv_version","alias_value":"1609.00771v2","created_at":"2026-05-18T01:03:42.503926+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1609.00771","created_at":"2026-05-18T01:03:42.503926+00:00"},{"alias_kind":"pith_short_12","alias_value":"YLHUCVPEYZD6","created_at":"2026-05-18T12:30:53.716459+00:00"},{"alias_kind":"pith_short_16","alias_value":"YLHUCVPEYZD6DXJR","created_at":"2026-05-18T12:30:53.716459+00:00"},{"alias_kind":"pith_short_8","alias_value":"YLHUCVPE","created_at":"2026-05-18T12:30:53.716459+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/YLHUCVPEYZD6DXJR2MZJ6DDAN2","json":"https://pith.science/pith/YLHUCVPEYZD6DXJR2MZJ6DDAN2.json","graph_json":"https://pith.science/api/pith-number/YLHUCVPEYZD6DXJR2MZJ6DDAN2/graph.json","events_json":"https://pith.science/api/pith-number/YLHUCVPEYZD6DXJR2MZJ6DDAN2/events.json","paper":"https://pith.science/paper/YLHUCVPE"},"agent_actions":{"view_html":"https://pith.science/pith/YLHUCVPEYZD6DXJR2MZJ6DDAN2","download_json":"https://pith.science/pith/YLHUCVPEYZD6DXJR2MZJ6DDAN2.json","view_paper":"https://pith.science/paper/YLHUCVPE","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1609.00771&json=true","fetch_graph":"https://pith.science/api/pith-number/YLHUCVPEYZD6DXJR2MZJ6DDAN2/graph.json","fetch_events":"https://pith.science/api/pith-number/YLHUCVPEYZD6DXJR2MZJ6DDAN2/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/YLHUCVPEYZD6DXJR2MZJ6DDAN2/action/timestamp_anchor","attest_storage":"https://pith.science/pith/YLHUCVPEYZD6DXJR2MZJ6DDAN2/action/storage_attestation","attest_author":"https://pith.science/pith/YLHUCVPEYZD6DXJR2MZJ6DDAN2/action/author_attestation","sign_citation":"https://pith.science/pith/YLHUCVPEYZD6DXJR2MZJ6DDAN2/action/citation_signature","submit_replication":"https://pith.science/pith/YLHUCVPEYZD6DXJR2MZJ6DDAN2/action/replication_record"}},"created_at":"2026-05-18T01:03:42.503926+00:00","updated_at":"2026-05-18T01:03:42.503926+00:00"}