{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2019:R4CUTZ4EJQZK477Y3H64CRS3NR","short_pith_number":"pith:R4CUTZ4E","canonical_record":{"source":{"id":"1902.01262","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SG","submitted_at":"2019-02-04T15:47:02Z","cross_cats_sorted":["math.DG"],"title_canon_sha256":"6bb15c57ce36a367edded2542d51a258b97cdffad1afe65f7c9e5228e2ef9f52","abstract_canon_sha256":"a411f2b97a197bc92c75eb45d24aede1e8866f04ab5709ca1549cc0bdc86d4ad"},"schema_version":"1.0"},"canonical_sha256":"8f0549e7844c32ae7ff8d9fdc1465b6c7fa0ba999ecdc350cd0d3c8596c8cd3d","source":{"kind":"arxiv","id":"1902.01262","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1902.01262","created_at":"2026-05-17T23:54:38Z"},{"alias_kind":"arxiv_version","alias_value":"1902.01262v2","created_at":"2026-05-17T23:54:38Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1902.01262","created_at":"2026-05-17T23:54:38Z"},{"alias_kind":"pith_short_12","alias_value":"R4CUTZ4EJQZK","created_at":"2026-05-18T12:33:27Z"},{"alias_kind":"pith_short_16","alias_value":"R4CUTZ4EJQZK477Y","created_at":"2026-05-18T12:33:27Z"},{"alias_kind":"pith_short_8","alias_value":"R4CUTZ4E","created_at":"2026-05-18T12:33:27Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2019:R4CUTZ4EJQZK477Y3H64CRS3NR","target":"record","payload":{"canonical_record":{"source":{"id":"1902.01262","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SG","submitted_at":"2019-02-04T15:47:02Z","cross_cats_sorted":["math.DG"],"title_canon_sha256":"6bb15c57ce36a367edded2542d51a258b97cdffad1afe65f7c9e5228e2ef9f52","abstract_canon_sha256":"a411f2b97a197bc92c75eb45d24aede1e8866f04ab5709ca1549cc0bdc86d4ad"},"schema_version":"1.0"},"canonical_sha256":"8f0549e7844c32ae7ff8d9fdc1465b6c7fa0ba999ecdc350cd0d3c8596c8cd3d","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:54:38.660461Z","signature_b64":"8PLMMCb/1/1+bYZ96hDgRW02RaDPHfSX8cS0T0xHHqoVbOUmC38Phwz5L4QMclyHaR/JDI5Hj91RLWinZtdcDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8f0549e7844c32ae7ff8d9fdc1465b6c7fa0ba999ecdc350cd0d3c8596c8cd3d","last_reissued_at":"2026-05-17T23:54:38.660045Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:54:38.660045Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1902.01262","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-17T23:54:38Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"MyvHGhAmigxdcH3EsEB1Ez1L6CAOvdbIH+GYvBmM84rxhc3l78epnTEtDtgqN7ZLCcR/7p4InJ3xL6fN0aWtCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-29T18:18:29.810760Z"},"content_sha256":"cf2d1415f7135cd86db58e30e9d6f01e56f1c1a8594be3dbd5fd9aa033f96352","schema_version":"1.0","event_id":"sha256:cf2d1415f7135cd86db58e30e9d6f01e56f1c1a8594be3dbd5fd9aa033f96352"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2019:R4CUTZ4EJQZK477Y3H64CRS3NR","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On a systolic inequality for closed magnetic geodesics on surfaces","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.DG"],"primary_cat":"math.SG","authors_text":"Gabriele Benedetti, Jungsoo Kang","submitted_at":"2019-02-04T15:47:02Z","abstract_excerpt":"We apply a local systolic-diastolic inequality for contact forms and odd-symplectic forms on three-manifolds to bound the magnetic length of closed curves with prescribed geodesic curvature (also known as magnetic geodesics) on an oriented closed surface. Our results hold when the prescribed curvature is either close to a Zoll one or large enough."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1902.01262","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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-17T23:54:38Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"72qhL89T5OBa04Az3ODi2qs5JX9Rxodq6dz2OSsZOP0gpMKTGulKB98gzySS3r0f5ze45pBgX9CLquiTNB2gDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-29T18:18:29.811219Z"},"content_sha256":"d148cda62f0fcb2d710f0c520b06cda87b0c26aa77a2ecf573deea6d3d541f3f","schema_version":"1.0","event_id":"sha256:d148cda62f0fcb2d710f0c520b06cda87b0c26aa77a2ecf573deea6d3d541f3f"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/R4CUTZ4EJQZK477Y3H64CRS3NR/bundle.json","state_url":"https://pith.science/pith/R4CUTZ4EJQZK477Y3H64CRS3NR/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/R4CUTZ4EJQZK477Y3H64CRS3NR/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-06-29T18:18:29Z","links":{"resolver":"https://pith.science/pith/R4CUTZ4EJQZK477Y3H64CRS3NR","bundle":"https://pith.science/pith/R4CUTZ4EJQZK477Y3H64CRS3NR/bundle.json","state":"https://pith.science/pith/R4CUTZ4EJQZK477Y3H64CRS3NR/state.json","well_known_bundle":"https://pith.science/.well-known/pith/R4CUTZ4EJQZK477Y3H64CRS3NR/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:R4CUTZ4EJQZK477Y3H64CRS3NR","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":"a411f2b97a197bc92c75eb45d24aede1e8866f04ab5709ca1549cc0bdc86d4ad","cross_cats_sorted":["math.DG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SG","submitted_at":"2019-02-04T15:47:02Z","title_canon_sha256":"6bb15c57ce36a367edded2542d51a258b97cdffad1afe65f7c9e5228e2ef9f52"},"schema_version":"1.0","source":{"id":"1902.01262","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1902.01262","created_at":"2026-05-17T23:54:38Z"},{"alias_kind":"arxiv_version","alias_value":"1902.01262v2","created_at":"2026-05-17T23:54:38Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1902.01262","created_at":"2026-05-17T23:54:38Z"},{"alias_kind":"pith_short_12","alias_value":"R4CUTZ4EJQZK","created_at":"2026-05-18T12:33:27Z"},{"alias_kind":"pith_short_16","alias_value":"R4CUTZ4EJQZK477Y","created_at":"2026-05-18T12:33:27Z"},{"alias_kind":"pith_short_8","alias_value":"R4CUTZ4E","created_at":"2026-05-18T12:33:27Z"}],"graph_snapshots":[{"event_id":"sha256:d148cda62f0fcb2d710f0c520b06cda87b0c26aa77a2ecf573deea6d3d541f3f","target":"graph","created_at":"2026-05-17T23:54:38Z","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":"We apply a local systolic-diastolic inequality for contact forms and odd-symplectic forms on three-manifolds to bound the magnetic length of closed curves with prescribed geodesic curvature (also known as magnetic geodesics) on an oriented closed surface. Our results hold when the prescribed curvature is either close to a Zoll one or large enough.","authors_text":"Gabriele Benedetti, Jungsoo Kang","cross_cats":["math.DG"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SG","submitted_at":"2019-02-04T15:47:02Z","title":"On a systolic inequality for closed magnetic geodesics on surfaces"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1902.01262","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:cf2d1415f7135cd86db58e30e9d6f01e56f1c1a8594be3dbd5fd9aa033f96352","target":"record","created_at":"2026-05-17T23:54:38Z","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":"a411f2b97a197bc92c75eb45d24aede1e8866f04ab5709ca1549cc0bdc86d4ad","cross_cats_sorted":["math.DG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SG","submitted_at":"2019-02-04T15:47:02Z","title_canon_sha256":"6bb15c57ce36a367edded2542d51a258b97cdffad1afe65f7c9e5228e2ef9f52"},"schema_version":"1.0","source":{"id":"1902.01262","kind":"arxiv","version":2}},"canonical_sha256":"8f0549e7844c32ae7ff8d9fdc1465b6c7fa0ba999ecdc350cd0d3c8596c8cd3d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8f0549e7844c32ae7ff8d9fdc1465b6c7fa0ba999ecdc350cd0d3c8596c8cd3d","first_computed_at":"2026-05-17T23:54:38.660045Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:54:38.660045Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"8PLMMCb/1/1+bYZ96hDgRW02RaDPHfSX8cS0T0xHHqoVbOUmC38Phwz5L4QMclyHaR/JDI5Hj91RLWinZtdcDQ==","signature_status":"signed_v1","signed_at":"2026-05-17T23:54:38.660461Z","signed_message":"canonical_sha256_bytes"},"source_id":"1902.01262","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:cf2d1415f7135cd86db58e30e9d6f01e56f1c1a8594be3dbd5fd9aa033f96352","sha256:d148cda62f0fcb2d710f0c520b06cda87b0c26aa77a2ecf573deea6d3d541f3f"],"state_sha256":"161a6a4e4c9d1d691f71e3245a4aa4d0c894dbe7f78fbcd9869dc72347cf2935"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"GjgInGVGUF5TKyKoHMbIJ/+9HT9jHsud6RehKtSQA9s9eK5nUqueE5bpY/2oEZUC/BPYcY+Hp5fLMMvJbVU2DQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-29T18:18:29.813175Z","bundle_sha256":"b05d835b0136d8b3d49e369e303944a23c74ac6423b871964155b3052cbb167f"}}