{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:VZMUPLJFZBEWKM5UDLKS376PDP","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"e90836ee0ed95e89ab895baf0f334be0f447b67d17c5bbeda7d68926dc350bd6","cross_cats_sorted":["math.DG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SG","submitted_at":"2011-09-20T09:26:56Z","title_canon_sha256":"c12ccc2b52bff81101ee994cb0aa4f641b51461b1ab6f72cde90f3b02f487f66"},"schema_version":"1.0","source":{"id":"1109.4253","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1109.4253","created_at":"2026-05-18T02:41:18Z"},{"alias_kind":"arxiv_version","alias_value":"1109.4253v2","created_at":"2026-05-18T02:41:18Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1109.4253","created_at":"2026-05-18T02:41:18Z"},{"alias_kind":"pith_short_12","alias_value":"VZMUPLJFZBEW","created_at":"2026-05-18T12:26:44Z"},{"alias_kind":"pith_short_16","alias_value":"VZMUPLJFZBEWKM5U","created_at":"2026-05-18T12:26:44Z"},{"alias_kind":"pith_short_8","alias_value":"VZMUPLJF","created_at":"2026-05-18T12:26:44Z"}],"graph_snapshots":[{"event_id":"sha256:ed658890be99718f4c2d09655115fd795728747c795332b2b004c4f72df2bc6a","target":"graph","created_at":"2026-05-18T02:41:18Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"A long-standing open problem in systolic geometry asks whether a Riemannian metric on the real projective space whose volume equals that of the canonical metric, but is not isometric to it, must necessarily carry a periodic geodesic of length smaller than \\pi. A contact-geometric reformulation of systolic geometry and the use of canonical perturbation theory allow us to solve a parametric version of this problem. Namely, we show that if g_s is a smooth volume-preserving deformation of the canonical metric and at s=0 the deformation is not tangent to all orders to trivial deformations (i.e., to","authors_text":"Florent Balacheff, Juan-Carlos Alvarez Paiva","cross_cats":["math.DG"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SG","submitted_at":"2011-09-20T09:26:56Z","title":"Contact geometry and isosystolic inequalities"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1109.4253","kind":"arxiv","version":2},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:d2abddd6080a977631cc35c84d25ce826969fd81164c0b66459b9b2e98735c89","target":"record","created_at":"2026-05-18T02:41:18Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"e90836ee0ed95e89ab895baf0f334be0f447b67d17c5bbeda7d68926dc350bd6","cross_cats_sorted":["math.DG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SG","submitted_at":"2011-09-20T09:26:56Z","title_canon_sha256":"c12ccc2b52bff81101ee994cb0aa4f641b51461b1ab6f72cde90f3b02f487f66"},"schema_version":"1.0","source":{"id":"1109.4253","kind":"arxiv","version":2}},"canonical_sha256":"ae5947ad25c8496533b41ad52dffcf1bceceda007890072c039c54afe9411ade","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ae5947ad25c8496533b41ad52dffcf1bceceda007890072c039c54afe9411ade","first_computed_at":"2026-05-18T02:41:18.996071Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:41:18.996071Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"PU2gTu9vJA44FMFzhlItY4ZZJTC0CxoFIlxf2IC5A4ykuIkc3JveYYZKQp9ynwmms5sjp8MqUqtmAHk5IR1EDA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:41:18.996886Z","signed_message":"canonical_sha256_bytes"},"source_id":"1109.4253","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d2abddd6080a977631cc35c84d25ce826969fd81164c0b66459b9b2e98735c89","sha256:ed658890be99718f4c2d09655115fd795728747c795332b2b004c4f72df2bc6a"],"state_sha256":"85c771e736c27d473552dac006605aed3d7dc3b6ef697ba677359555fcf6eeec"}