{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:V6R3SY2MPSMCXNGFNZNDOUH36A","short_pith_number":"pith:V6R3SY2M","canonical_record":{"source":{"id":"1305.5510","kind":"arxiv","version":7},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2013-05-23T18:24:48Z","cross_cats_sorted":[],"title_canon_sha256":"00797544f689a414810ef836102fb602e189a48dfffdf0e9b719f6491d01199e","abstract_canon_sha256":"bce65ff72584ab321fafcf0574ff5f7077bff7ff5f032d5bb0d28dcd1a7c73d6"},"schema_version":"1.0"},"canonical_sha256":"afa3b9634c7c982bb4c56e5a3750fbf00d5b00698916be512904076fe9ef6c53","source":{"kind":"arxiv","id":"1305.5510","version":7},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1305.5510","created_at":"2026-05-18T01:09:07Z"},{"alias_kind":"arxiv_version","alias_value":"1305.5510v7","created_at":"2026-05-18T01:09:07Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1305.5510","created_at":"2026-05-18T01:09:07Z"},{"alias_kind":"pith_short_12","alias_value":"V6R3SY2MPSMC","created_at":"2026-05-18T12:28:04Z"},{"alias_kind":"pith_short_16","alias_value":"V6R3SY2MPSMCXNGF","created_at":"2026-05-18T12:28:04Z"},{"alias_kind":"pith_short_8","alias_value":"V6R3SY2M","created_at":"2026-05-18T12:28:04Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:V6R3SY2MPSMCXNGFNZNDOUH36A","target":"record","payload":{"canonical_record":{"source":{"id":"1305.5510","kind":"arxiv","version":7},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2013-05-23T18:24:48Z","cross_cats_sorted":[],"title_canon_sha256":"00797544f689a414810ef836102fb602e189a48dfffdf0e9b719f6491d01199e","abstract_canon_sha256":"bce65ff72584ab321fafcf0574ff5f7077bff7ff5f032d5bb0d28dcd1a7c73d6"},"schema_version":"1.0"},"canonical_sha256":"afa3b9634c7c982bb4c56e5a3750fbf00d5b00698916be512904076fe9ef6c53","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:09:07.337040Z","signature_b64":"I2ucHCuo7WPJ2dpiQ5155Yr/dGPR5gMmIFsnDCBiDhhgvzdlkPrpK9yjbu7UYtbf4iGtPhA/WvlfNNtewlvNCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"afa3b9634c7c982bb4c56e5a3750fbf00d5b00698916be512904076fe9ef6c53","last_reissued_at":"2026-05-18T01:09:07.336615Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:09:07.336615Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1305.5510","source_version":7,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:09:07Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"KdUm68NqKOKZCqgdIIsMgE+FMbrxgK5HVcfBuz2kGuA5uajfE1jg8BVPM2WjP+Iue3pUkZXCKsBCVBF/IvzYCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-24T20:33:02.987488Z"},"content_sha256":"3620699b7c0d2dd01450600472a344b9ad5ccc8afbc18867827b9d562641b02e","schema_version":"1.0","event_id":"sha256:3620699b7c0d2dd01450600472a344b9ad5ccc8afbc18867827b9d562641b02e"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:V6R3SY2MPSMCXNGFNZNDOUH36A","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Construction of hyperbolic Riemann surfaces with large systoles","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DG","authors_text":"Bjoern Muetzel, Hugo Akrout","submitted_at":"2013-05-23T18:24:48Z","abstract_excerpt":"Let $S$ be a compact hyperbolic Riemann surface of genus $g \\geq 2$. We call a systole a shortest simple closed geodesic in $S$ and denote by $\\mathop{sys}(S)$ its length. Let $\\mathop{msys(g)}$ be the maximal value that $\\mathop{sys}(\\cdot)$ can attain among the compact Riemann surfaces of genus $g$. We call a (globally) maximal surface $S_{max}$ a compact Riemann surface of genus $g$ whose systole has length $\\mathop{msys}(g)$. In Section 2 we use cutting and pasting techniques to construct compact hyperbolic Riemann surfaces with large systoles from maximal surfaces. This enables us to prov"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1305.5510","kind":"arxiv","version":7},"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":"2026-05-18T01:09:07Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"QkFpLG+VpNHHF0c7kLT90srFrijpSJq5t2AKttbG+KTyTFsBxwApYIUAUy/v2s39ZvC9shB0YkRk3bnm+a/uCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-24T20:33:02.987835Z"},"content_sha256":"c7d7a8daf1c4bc2c6fe6bff5efdc2bfbfebc30db29e7728782d8afb7bed78da6","schema_version":"1.0","event_id":"sha256:c7d7a8daf1c4bc2c6fe6bff5efdc2bfbfebc30db29e7728782d8afb7bed78da6"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/V6R3SY2MPSMCXNGFNZNDOUH36A/bundle.json","state_url":"https://pith.science/pith/V6R3SY2MPSMCXNGFNZNDOUH36A/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/V6R3SY2MPSMCXNGFNZNDOUH36A/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":"2026-06-24T20:33:02Z","links":{"resolver":"https://pith.science/pith/V6R3SY2MPSMCXNGFNZNDOUH36A","bundle":"https://pith.science/pith/V6R3SY2MPSMCXNGFNZNDOUH36A/bundle.json","state":"https://pith.science/pith/V6R3SY2MPSMCXNGFNZNDOUH36A/state.json","well_known_bundle":"https://pith.science/.well-known/pith/V6R3SY2MPSMCXNGFNZNDOUH36A/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:V6R3SY2MPSMCXNGFNZNDOUH36A","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":"bce65ff72584ab321fafcf0574ff5f7077bff7ff5f032d5bb0d28dcd1a7c73d6","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2013-05-23T18:24:48Z","title_canon_sha256":"00797544f689a414810ef836102fb602e189a48dfffdf0e9b719f6491d01199e"},"schema_version":"1.0","source":{"id":"1305.5510","kind":"arxiv","version":7}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1305.5510","created_at":"2026-05-18T01:09:07Z"},{"alias_kind":"arxiv_version","alias_value":"1305.5510v7","created_at":"2026-05-18T01:09:07Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1305.5510","created_at":"2026-05-18T01:09:07Z"},{"alias_kind":"pith_short_12","alias_value":"V6R3SY2MPSMC","created_at":"2026-05-18T12:28:04Z"},{"alias_kind":"pith_short_16","alias_value":"V6R3SY2MPSMCXNGF","created_at":"2026-05-18T12:28:04Z"},{"alias_kind":"pith_short_8","alias_value":"V6R3SY2M","created_at":"2026-05-18T12:28:04Z"}],"graph_snapshots":[{"event_id":"sha256:c7d7a8daf1c4bc2c6fe6bff5efdc2bfbfebc30db29e7728782d8afb7bed78da6","target":"graph","created_at":"2026-05-18T01:09:07Z","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":"Let $S$ be a compact hyperbolic Riemann surface of genus $g \\geq 2$. We call a systole a shortest simple closed geodesic in $S$ and denote by $\\mathop{sys}(S)$ its length. Let $\\mathop{msys(g)}$ be the maximal value that $\\mathop{sys}(\\cdot)$ can attain among the compact Riemann surfaces of genus $g$. We call a (globally) maximal surface $S_{max}$ a compact Riemann surface of genus $g$ whose systole has length $\\mathop{msys}(g)$. In Section 2 we use cutting and pasting techniques to construct compact hyperbolic Riemann surfaces with large systoles from maximal surfaces. This enables us to prov","authors_text":"Bjoern Muetzel, Hugo Akrout","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2013-05-23T18:24:48Z","title":"Construction of hyperbolic Riemann surfaces with large systoles"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1305.5510","kind":"arxiv","version":7},"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":"sha256:3620699b7c0d2dd01450600472a344b9ad5ccc8afbc18867827b9d562641b02e","target":"record","created_at":"2026-05-18T01:09:07Z","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":"bce65ff72584ab321fafcf0574ff5f7077bff7ff5f032d5bb0d28dcd1a7c73d6","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2013-05-23T18:24:48Z","title_canon_sha256":"00797544f689a414810ef836102fb602e189a48dfffdf0e9b719f6491d01199e"},"schema_version":"1.0","source":{"id":"1305.5510","kind":"arxiv","version":7}},"canonical_sha256":"afa3b9634c7c982bb4c56e5a3750fbf00d5b00698916be512904076fe9ef6c53","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"afa3b9634c7c982bb4c56e5a3750fbf00d5b00698916be512904076fe9ef6c53","first_computed_at":"2026-05-18T01:09:07.336615Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:09:07.336615Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"I2ucHCuo7WPJ2dpiQ5155Yr/dGPR5gMmIFsnDCBiDhhgvzdlkPrpK9yjbu7UYtbf4iGtPhA/WvlfNNtewlvNCA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:09:07.337040Z","signed_message":"canonical_sha256_bytes"},"source_id":"1305.5510","source_kind":"arxiv","source_version":7}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3620699b7c0d2dd01450600472a344b9ad5ccc8afbc18867827b9d562641b02e","sha256:c7d7a8daf1c4bc2c6fe6bff5efdc2bfbfebc30db29e7728782d8afb7bed78da6"],"state_sha256":"caf331142819c6275ba100fec3b4d84c8fd9e503af30e022fa88807339f5515f"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ZFiV3m47/CjdPsAUmqEKdSN77SDPcJ19p3pkTepoqplFMu/UWLuflhSxAoIZIxkzhXihpQLqawQSIDFTOeXBDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-24T20:33:02.989782Z","bundle_sha256":"f84ccbadde9b196cea39e39eec08dd7d43a8643fe496dacf865d1ab31ff5132d"}}