{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:YPFJMQRCDCXLBJ7XA2AWVRE57D","short_pith_number":"pith:YPFJMQRC","schema_version":"1.0","canonical_sha256":"c3ca96422218aeb0a7f706816ac49df8e3477dc35a564eb4c39b06ed119ad693","source":{"kind":"arxiv","id":"1711.11285","version":2},"attestation_state":"computed","paper":{"title":"A characterization of Zoll Riemannian metrics on the 2-sphere","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AT","math.GT"],"primary_cat":"math.DG","authors_text":"Marco Mazzucchelli, Stefan Suhr","submitted_at":"2017-11-30T09:44:05Z","abstract_excerpt":"The simple length spectrum of a Riemannian manifold is the set of lengths of its simple closed geodesics. We prove a theorem claimed by Lusternik: in any Riemannian 2-sphere whose simple length spectrum consists of only one element L, any geodesic is simple closed with length L."},"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":"1711.11285","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2017-11-30T09:44:05Z","cross_cats_sorted":["math.AT","math.GT"],"title_canon_sha256":"1d4529c62369d99931c74e79fa8f1763126be6fe0d2713a64ca2ace3285d2cad","abstract_canon_sha256":"16a54108b5fc19f6192f99d2d23c05cbf7d4d753d2f5d5f7031257792188f13b"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:59:03.628007Z","signature_b64":"MRz4gNsQkQgFYxfUWa0Zgpy+Pr14y7Wkaw2Vo31+FtOYYsFSGaRavMBjEIWGhX+zhox4tQG8lTNJdJYspzQPAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c3ca96422218aeb0a7f706816ac49df8e3477dc35a564eb4c39b06ed119ad693","last_reissued_at":"2026-05-17T23:59:03.627493Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:59:03.627493Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A characterization of Zoll Riemannian metrics on the 2-sphere","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AT","math.GT"],"primary_cat":"math.DG","authors_text":"Marco Mazzucchelli, Stefan Suhr","submitted_at":"2017-11-30T09:44:05Z","abstract_excerpt":"The simple length spectrum of a Riemannian manifold is the set of lengths of its simple closed geodesics. We prove a theorem claimed by Lusternik: in any Riemannian 2-sphere whose simple length spectrum consists of only one element L, any geodesic is simple closed with length L."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1711.11285","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":"1711.11285","created_at":"2026-05-17T23:59:03.627573+00:00"},{"alias_kind":"arxiv_version","alias_value":"1711.11285v2","created_at":"2026-05-17T23:59:03.627573+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1711.11285","created_at":"2026-05-17T23:59:03.627573+00:00"},{"alias_kind":"pith_short_12","alias_value":"YPFJMQRCDCXL","created_at":"2026-05-18T12:31:56.362134+00:00"},{"alias_kind":"pith_short_16","alias_value":"YPFJMQRCDCXLBJ7X","created_at":"2026-05-18T12:31:56.362134+00:00"},{"alias_kind":"pith_short_8","alias_value":"YPFJMQRC","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/YPFJMQRCDCXLBJ7XA2AWVRE57D","json":"https://pith.science/pith/YPFJMQRCDCXLBJ7XA2AWVRE57D.json","graph_json":"https://pith.science/api/pith-number/YPFJMQRCDCXLBJ7XA2AWVRE57D/graph.json","events_json":"https://pith.science/api/pith-number/YPFJMQRCDCXLBJ7XA2AWVRE57D/events.json","paper":"https://pith.science/paper/YPFJMQRC"},"agent_actions":{"view_html":"https://pith.science/pith/YPFJMQRCDCXLBJ7XA2AWVRE57D","download_json":"https://pith.science/pith/YPFJMQRCDCXLBJ7XA2AWVRE57D.json","view_paper":"https://pith.science/paper/YPFJMQRC","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1711.11285&json=true","fetch_graph":"https://pith.science/api/pith-number/YPFJMQRCDCXLBJ7XA2AWVRE57D/graph.json","fetch_events":"https://pith.science/api/pith-number/YPFJMQRCDCXLBJ7XA2AWVRE57D/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/YPFJMQRCDCXLBJ7XA2AWVRE57D/action/timestamp_anchor","attest_storage":"https://pith.science/pith/YPFJMQRCDCXLBJ7XA2AWVRE57D/action/storage_attestation","attest_author":"https://pith.science/pith/YPFJMQRCDCXLBJ7XA2AWVRE57D/action/author_attestation","sign_citation":"https://pith.science/pith/YPFJMQRCDCXLBJ7XA2AWVRE57D/action/citation_signature","submit_replication":"https://pith.science/pith/YPFJMQRCDCXLBJ7XA2AWVRE57D/action/replication_record"}},"created_at":"2026-05-17T23:59:03.627573+00:00","updated_at":"2026-05-17T23:59:03.627573+00:00"}