{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:IY333TSQQ46WTPKZTKTOVOUHFP","short_pith_number":"pith:IY333TSQ","canonical_record":{"source":{"id":"1405.5454","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2014-05-21T15:25:16Z","cross_cats_sorted":["math.RA"],"title_canon_sha256":"994e0523ae190f05d3bbb14ddc0d247ec683f0d5c9608f0c43e00b6f84a4e7c8","abstract_canon_sha256":"5901285f3128b92d43c0d86e4abf03f5dc37487574b7ae9ec56a2ccda6aca08a"},"schema_version":"1.0"},"canonical_sha256":"4637bdce50873d69bd599aa6eaba872bc51dc621d27b2376a18793e791b8947b","source":{"kind":"arxiv","id":"1405.5454","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1405.5454","created_at":"2026-05-18T01:36:48Z"},{"alias_kind":"arxiv_version","alias_value":"1405.5454v2","created_at":"2026-05-18T01:36:48Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1405.5454","created_at":"2026-05-18T01:36:48Z"},{"alias_kind":"pith_short_12","alias_value":"IY333TSQQ46W","created_at":"2026-05-18T12:28:33Z"},{"alias_kind":"pith_short_16","alias_value":"IY333TSQQ46WTPKZ","created_at":"2026-05-18T12:28:33Z"},{"alias_kind":"pith_short_8","alias_value":"IY333TSQ","created_at":"2026-05-18T12:28:33Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:IY333TSQQ46WTPKZTKTOVOUHFP","target":"record","payload":{"canonical_record":{"source":{"id":"1405.5454","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2014-05-21T15:25:16Z","cross_cats_sorted":["math.RA"],"title_canon_sha256":"994e0523ae190f05d3bbb14ddc0d247ec683f0d5c9608f0c43e00b6f84a4e7c8","abstract_canon_sha256":"5901285f3128b92d43c0d86e4abf03f5dc37487574b7ae9ec56a2ccda6aca08a"},"schema_version":"1.0"},"canonical_sha256":"4637bdce50873d69bd599aa6eaba872bc51dc621d27b2376a18793e791b8947b","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:36:48.353422Z","signature_b64":"FYgYgJGBFOVM+qtsWbJzHEhOxe/GMrnH6UvpmS4MAf5WozU4VX6Heju/PqknxzO4JYSsjsaKwPMPel2NW8/7BQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4637bdce50873d69bd599aa6eaba872bc51dc621d27b2376a18793e791b8947b","last_reissued_at":"2026-05-18T01:36:48.352757Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:36:48.352757Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1405.5454","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":"2026-05-18T01:36:48Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"wdJkQNIU9GwIVQEGW9M6XfPVo2co/3gApHZbRsxHc2TLgq1qBysZ1ko+VncRfMeN4PwAj40R2ygSKSvUcVETAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T07:18:15.567119Z"},"content_sha256":"754afaab3099e717d313c7eb88e6c70cdbe58d28561c2b5d846654f392501771","schema_version":"1.0","event_id":"sha256:754afaab3099e717d313c7eb88e6c70cdbe58d28561c2b5d846654f392501771"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:IY333TSQQ46WTPKZTKTOVOUHFP","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Bolza quaternion order and asymptotics of systoles along congruence subgroups","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.RA"],"primary_cat":"math.DG","authors_text":"Karin Katz, Michael Schein, Mikhail Katz, Uzi Vishne","submitted_at":"2014-05-21T15:25:16Z","abstract_excerpt":"We give a detailed description of the arithmetic Fuchsian group of the Bolza surface and the associated quaternion order. This description enables us to show that the corresponding principal congruence covers satisfy the bound sys(X) > 4/3 log g(X) on the systole, where g is the genus. We also exhibit the Bolza group as a congruence subgroup, and calculate out a few examples of \"Bolza twins\" (using magma). Like the Hurwitz triplets, these correspond to the factoring of certain rational primes in the ring of integers of the invariant trace field of the surface. We exploit random sampling combin"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1405.5454","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":"2026-05-18T01:36:48Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"0h5GJFpOJ4TBcmCSp3u3M6Qa2gee7gg5fWkTC0tXvmjh9B7S4oXyoyUn/lg0CzhjWg/YatOinzujQKBKLUaECg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T07:18:15.567486Z"},"content_sha256":"be9e5df4d56479f3a4b6a3194de153dab24e271f5c4d1acddc3109e9c4bc4dea","schema_version":"1.0","event_id":"sha256:be9e5df4d56479f3a4b6a3194de153dab24e271f5c4d1acddc3109e9c4bc4dea"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/IY333TSQQ46WTPKZTKTOVOUHFP/bundle.json","state_url":"https://pith.science/pith/IY333TSQQ46WTPKZTKTOVOUHFP/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/IY333TSQQ46WTPKZTKTOVOUHFP/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":"2026-05-30T07:18:15Z","links":{"resolver":"https://pith.science/pith/IY333TSQQ46WTPKZTKTOVOUHFP","bundle":"https://pith.science/pith/IY333TSQQ46WTPKZTKTOVOUHFP/bundle.json","state":"https://pith.science/pith/IY333TSQQ46WTPKZTKTOVOUHFP/state.json","well_known_bundle":"https://pith.science/.well-known/pith/IY333TSQQ46WTPKZTKTOVOUHFP/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:IY333TSQQ46WTPKZTKTOVOUHFP","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":"5901285f3128b92d43c0d86e4abf03f5dc37487574b7ae9ec56a2ccda6aca08a","cross_cats_sorted":["math.RA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2014-05-21T15:25:16Z","title_canon_sha256":"994e0523ae190f05d3bbb14ddc0d247ec683f0d5c9608f0c43e00b6f84a4e7c8"},"schema_version":"1.0","source":{"id":"1405.5454","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1405.5454","created_at":"2026-05-18T01:36:48Z"},{"alias_kind":"arxiv_version","alias_value":"1405.5454v2","created_at":"2026-05-18T01:36:48Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1405.5454","created_at":"2026-05-18T01:36:48Z"},{"alias_kind":"pith_short_12","alias_value":"IY333TSQQ46W","created_at":"2026-05-18T12:28:33Z"},{"alias_kind":"pith_short_16","alias_value":"IY333TSQQ46WTPKZ","created_at":"2026-05-18T12:28:33Z"},{"alias_kind":"pith_short_8","alias_value":"IY333TSQ","created_at":"2026-05-18T12:28:33Z"}],"graph_snapshots":[{"event_id":"sha256:be9e5df4d56479f3a4b6a3194de153dab24e271f5c4d1acddc3109e9c4bc4dea","target":"graph","created_at":"2026-05-18T01:36:48Z","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 give a detailed description of the arithmetic Fuchsian group of the Bolza surface and the associated quaternion order. This description enables us to show that the corresponding principal congruence covers satisfy the bound sys(X) > 4/3 log g(X) on the systole, where g is the genus. We also exhibit the Bolza group as a congruence subgroup, and calculate out a few examples of \"Bolza twins\" (using magma). Like the Hurwitz triplets, these correspond to the factoring of certain rational primes in the ring of integers of the invariant trace field of the surface. We exploit random sampling combin","authors_text":"Karin Katz, Michael Schein, Mikhail Katz, Uzi Vishne","cross_cats":["math.RA"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2014-05-21T15:25:16Z","title":"Bolza quaternion order and asymptotics of systoles along congruence subgroups"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1405.5454","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":"sha256:754afaab3099e717d313c7eb88e6c70cdbe58d28561c2b5d846654f392501771","target":"record","created_at":"2026-05-18T01:36:48Z","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":"5901285f3128b92d43c0d86e4abf03f5dc37487574b7ae9ec56a2ccda6aca08a","cross_cats_sorted":["math.RA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2014-05-21T15:25:16Z","title_canon_sha256":"994e0523ae190f05d3bbb14ddc0d247ec683f0d5c9608f0c43e00b6f84a4e7c8"},"schema_version":"1.0","source":{"id":"1405.5454","kind":"arxiv","version":2}},"canonical_sha256":"4637bdce50873d69bd599aa6eaba872bc51dc621d27b2376a18793e791b8947b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4637bdce50873d69bd599aa6eaba872bc51dc621d27b2376a18793e791b8947b","first_computed_at":"2026-05-18T01:36:48.352757Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:36:48.352757Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"FYgYgJGBFOVM+qtsWbJzHEhOxe/GMrnH6UvpmS4MAf5WozU4VX6Heju/PqknxzO4JYSsjsaKwPMPel2NW8/7BQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:36:48.353422Z","signed_message":"canonical_sha256_bytes"},"source_id":"1405.5454","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:754afaab3099e717d313c7eb88e6c70cdbe58d28561c2b5d846654f392501771","sha256:be9e5df4d56479f3a4b6a3194de153dab24e271f5c4d1acddc3109e9c4bc4dea"],"state_sha256":"3544ec30d4a406d7463db5c928ef78238be41311fe56d69e16211c09ffe3401a"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"wDrosfzEvsxHlk7aeu4SJqVGmUcjJp8IhSJhIGVEhhd00FBsbnaWGGBj8EyxWf/S0YjOt6IPOmJMAwzRhDyJBA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-30T07:18:15.572269Z","bundle_sha256":"64ea11ebfe2a7b2e794667a808fcb63b1e1601c3518c7bdf59841a30f6801af5"}}