{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2026:QR6X2JN3IL3LUQATEIMABBLXGJ","short_pith_number":"pith:QR6X2JN3","canonical_record":{"source":{"id":"2605.21137","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.CV","submitted_at":"2026-05-20T13:13:07Z","cross_cats_sorted":["math.AG"],"title_canon_sha256":"f50642709b8cdb40a5d11d587939a2a355135f8b479fcdfcc0d834601f0130d3","abstract_canon_sha256":"f0d6dc7e2c6f599fcbbcd4226a199d7b90fe810ed4058b04f31f403c1807c3dd"},"schema_version":"1.0"},"canonical_sha256":"847d7d25bb42f6ba40132218008577325c5dfbe7a5e7c66213d38683810b9790","source":{"kind":"arxiv","id":"2605.21137","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2605.21137","created_at":"2026-05-21T01:05:39Z"},{"alias_kind":"arxiv_version","alias_value":"2605.21137v1","created_at":"2026-05-21T01:05:39Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2605.21137","created_at":"2026-05-21T01:05:39Z"},{"alias_kind":"pith_short_12","alias_value":"QR6X2JN3IL3L","created_at":"2026-05-21T01:05:39Z"},{"alias_kind":"pith_short_16","alias_value":"QR6X2JN3IL3LUQAT","created_at":"2026-05-21T01:05:39Z"},{"alias_kind":"pith_short_8","alias_value":"QR6X2JN3","created_at":"2026-05-21T01:05:39Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2026:QR6X2JN3IL3LUQATEIMABBLXGJ","target":"record","payload":{"canonical_record":{"source":{"id":"2605.21137","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.CV","submitted_at":"2026-05-20T13:13:07Z","cross_cats_sorted":["math.AG"],"title_canon_sha256":"f50642709b8cdb40a5d11d587939a2a355135f8b479fcdfcc0d834601f0130d3","abstract_canon_sha256":"f0d6dc7e2c6f599fcbbcd4226a199d7b90fe810ed4058b04f31f403c1807c3dd"},"schema_version":"1.0"},"canonical_sha256":"847d7d25bb42f6ba40132218008577325c5dfbe7a5e7c66213d38683810b9790","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-21T01:05:39.383434Z","signature_b64":"yhG4TO+fAdFL+IISgxhaPxm1EXbZiuukMBNoXp/LPumF17aAg2N6re2IFbADrd9gZAT5484ojVrlV2vGwntkAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"847d7d25bb42f6ba40132218008577325c5dfbe7a5e7c66213d38683810b9790","last_reissued_at":"2026-05-21T01:05:39.382661Z","signature_status":"signed_v1","first_computed_at":"2026-05-21T01:05:39.382661Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2605.21137","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-21T01:05:39Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"rcXskSE9oiG4gokdJdCLb5XBGG0+MdYYtsKftJJHMmIMCy0xoPThJQX3bfeXcum+eSl9QsaURyYpEyZ0dkPDAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T12:40:35.165552Z"},"content_sha256":"58daea087ebf5625cdc88bbdf0889b4604010e529c155d6274e891c20bb29eec","schema_version":"1.0","event_id":"sha256:58daea087ebf5625cdc88bbdf0889b4604010e529c155d6274e891c20bb29eec"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2026:QR6X2JN3IL3LUQATEIMABBLXGJ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Improved bounds on the number of holomorphic maps between compact Riemann surfaces","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["math.AG"],"primary_cat":"math.CV","authors_text":"Masaharu Tanabe","submitted_at":"2026-05-20T13:13:07Z","abstract_excerpt":"We give new upper bounds for the number of nonconstant holomorphic maps depending only on the genus. Our estimates improve previously known bounds. The proof is based on the study of pullbacks of holomorphic differentials, together with techniques from the geometry of numbers and the theory of Jacobian varieties."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2605.21137","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2605.21137/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-05-21T01:05:39Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"TyRbR11aSlOICTWPaAZSejy2H7FnCf/ZXRSTa9I09jdK8+btxjtbFU9nnSYchVjk+VJqs+DM45jLUlSZBtZUCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T12:40:35.166305Z"},"content_sha256":"f5391df6b4fec743772adab4fa224368ad8865efa83ee77fe01e99f871d609c7","schema_version":"1.0","event_id":"sha256:f5391df6b4fec743772adab4fa224368ad8865efa83ee77fe01e99f871d609c7"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/QR6X2JN3IL3LUQATEIMABBLXGJ/bundle.json","state_url":"https://pith.science/pith/QR6X2JN3IL3LUQATEIMABBLXGJ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/QR6X2JN3IL3LUQATEIMABBLXGJ/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":"2026-05-26T12:40:35Z","links":{"resolver":"https://pith.science/pith/QR6X2JN3IL3LUQATEIMABBLXGJ","bundle":"https://pith.science/pith/QR6X2JN3IL3LUQATEIMABBLXGJ/bundle.json","state":"https://pith.science/pith/QR6X2JN3IL3LUQATEIMABBLXGJ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/QR6X2JN3IL3LUQATEIMABBLXGJ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:QR6X2JN3IL3LUQATEIMABBLXGJ","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":"f0d6dc7e2c6f599fcbbcd4226a199d7b90fe810ed4058b04f31f403c1807c3dd","cross_cats_sorted":["math.AG"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.CV","submitted_at":"2026-05-20T13:13:07Z","title_canon_sha256":"f50642709b8cdb40a5d11d587939a2a355135f8b479fcdfcc0d834601f0130d3"},"schema_version":"1.0","source":{"id":"2605.21137","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2605.21137","created_at":"2026-05-21T01:05:39Z"},{"alias_kind":"arxiv_version","alias_value":"2605.21137v1","created_at":"2026-05-21T01:05:39Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2605.21137","created_at":"2026-05-21T01:05:39Z"},{"alias_kind":"pith_short_12","alias_value":"QR6X2JN3IL3L","created_at":"2026-05-21T01:05:39Z"},{"alias_kind":"pith_short_16","alias_value":"QR6X2JN3IL3LUQAT","created_at":"2026-05-21T01:05:39Z"},{"alias_kind":"pith_short_8","alias_value":"QR6X2JN3","created_at":"2026-05-21T01:05:39Z"}],"graph_snapshots":[{"event_id":"sha256:f5391df6b4fec743772adab4fa224368ad8865efa83ee77fe01e99f871d609c7","target":"graph","created_at":"2026-05-21T01:05:39Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2605.21137/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We give new upper bounds for the number of nonconstant holomorphic maps depending only on the genus. Our estimates improve previously known bounds. The proof is based on the study of pullbacks of holomorphic differentials, together with techniques from the geometry of numbers and the theory of Jacobian varieties.","authors_text":"Masaharu Tanabe","cross_cats":["math.AG"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.CV","submitted_at":"2026-05-20T13:13:07Z","title":"Improved bounds on the number of holomorphic maps between compact Riemann surfaces"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2605.21137","kind":"arxiv","version":1},"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":"sha256:58daea087ebf5625cdc88bbdf0889b4604010e529c155d6274e891c20bb29eec","target":"record","created_at":"2026-05-21T01:05:39Z","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":"f0d6dc7e2c6f599fcbbcd4226a199d7b90fe810ed4058b04f31f403c1807c3dd","cross_cats_sorted":["math.AG"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.CV","submitted_at":"2026-05-20T13:13:07Z","title_canon_sha256":"f50642709b8cdb40a5d11d587939a2a355135f8b479fcdfcc0d834601f0130d3"},"schema_version":"1.0","source":{"id":"2605.21137","kind":"arxiv","version":1}},"canonical_sha256":"847d7d25bb42f6ba40132218008577325c5dfbe7a5e7c66213d38683810b9790","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"847d7d25bb42f6ba40132218008577325c5dfbe7a5e7c66213d38683810b9790","first_computed_at":"2026-05-21T01:05:39.382661Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-21T01:05:39.382661Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"yhG4TO+fAdFL+IISgxhaPxm1EXbZiuukMBNoXp/LPumF17aAg2N6re2IFbADrd9gZAT5484ojVrlV2vGwntkAg==","signature_status":"signed_v1","signed_at":"2026-05-21T01:05:39.383434Z","signed_message":"canonical_sha256_bytes"},"source_id":"2605.21137","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:58daea087ebf5625cdc88bbdf0889b4604010e529c155d6274e891c20bb29eec","sha256:f5391df6b4fec743772adab4fa224368ad8865efa83ee77fe01e99f871d609c7"],"state_sha256":"056717cd0e6ed66e467c52601d997b59ade0dca56e44ee43ef427b0901cabb4f"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"9I508rVj1OOblb0uK7zGpvughKJ0EI5iyBLLIOSAd8HcCehAU4YmIOVgJpqT8rNCZqyK5Y+LEHqeTNjlKmA4AQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-26T12:40:35.170254Z","bundle_sha256":"33b113fe5ebe1b7acc10c02bb251eeffd82272739e84e13d5909bf8417bdb7cb"}}