{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:6OCIWWBCXXDIYURGOVG3RZXXA6","short_pith_number":"pith:6OCIWWBC","canonical_record":{"source":{"id":"1502.03806","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2015-02-12T20:53:17Z","cross_cats_sorted":[],"title_canon_sha256":"9a825f4854d85a09d4ab944d2209624dfaee433efa471246f7c3b64dd92e439b","abstract_canon_sha256":"549f7ebb3d17d0b0ce4e5e8caebf1ae1f2761141838793352eb04e412005a4f1"},"schema_version":"1.0"},"canonical_sha256":"f3848b5822bdc68c5226754db8e6f707a0709092852f28c92a0834b0962e7982","source":{"kind":"arxiv","id":"1502.03806","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1502.03806","created_at":"2026-05-18T02:27:08Z"},{"alias_kind":"arxiv_version","alias_value":"1502.03806v1","created_at":"2026-05-18T02:27:08Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1502.03806","created_at":"2026-05-18T02:27:08Z"},{"alias_kind":"pith_short_12","alias_value":"6OCIWWBCXXDI","created_at":"2026-05-18T12:29:07Z"},{"alias_kind":"pith_short_16","alias_value":"6OCIWWBCXXDIYURG","created_at":"2026-05-18T12:29:07Z"},{"alias_kind":"pith_short_8","alias_value":"6OCIWWBC","created_at":"2026-05-18T12:29:07Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:6OCIWWBCXXDIYURGOVG3RZXXA6","target":"record","payload":{"canonical_record":{"source":{"id":"1502.03806","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2015-02-12T20:53:17Z","cross_cats_sorted":[],"title_canon_sha256":"9a825f4854d85a09d4ab944d2209624dfaee433efa471246f7c3b64dd92e439b","abstract_canon_sha256":"549f7ebb3d17d0b0ce4e5e8caebf1ae1f2761141838793352eb04e412005a4f1"},"schema_version":"1.0"},"canonical_sha256":"f3848b5822bdc68c5226754db8e6f707a0709092852f28c92a0834b0962e7982","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:27:08.786221Z","signature_b64":"qxfefveX4HCl87jrtv6QiyjiHhDbWGFYSaezDhdfdYM+X1yLFDwPVx+JqISCu1ciaR3uBo9FiLI3LjJ40Gc5Dg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f3848b5822bdc68c5226754db8e6f707a0709092852f28c92a0834b0962e7982","last_reissued_at":"2026-05-18T02:27:08.785346Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:27:08.785346Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1502.03806","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":"2026-05-18T02:27:08Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Z0+YoWg/XadEXSjMPq8Bl//MO1WJR+9CS5ErDYpQxLc/0UT1Z/ermYhuBrNXUrCxcSF11CsXwThbeLrlIb+oAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-11T18:54:04.392815Z"},"content_sha256":"42255f569f94f920a97c8594662b37ed49d9a5cea99569a1bc53b5859333a5c8","schema_version":"1.0","event_id":"sha256:42255f569f94f920a97c8594662b37ed49d9a5cea99569a1bc53b5859333a5c8"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:6OCIWWBCXXDIYURGOVG3RZXXA6","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A note on Seshadri constants of line bundles on hyperelliptic surfaces","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Lucja Farnik","submitted_at":"2015-02-12T20:53:17Z","abstract_excerpt":"We study Seshadri constants of ample line bundles on hyperelliptic surfaces. We obtain new lower bounds and compute the exact values of Seshadri constants in some cases. Our approach uses results of F. Serrano (1990), B. Harboune and J. Roe (2008), F. Bastianelli (2009), A.L. Knutsen, W. Syzdek and T. Szemberg (2009)."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1502.03806","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":""},"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":"2026-05-18T02:27:08Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"KwF8caosRFp00NdXJtBfCJxAbtZDLnlcPPuJd7U/OJXvrbM/PuGgfZ9QZghl4vG1K9G6JP5F6wC3XDoC4S6tCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-11T18:54:04.393551Z"},"content_sha256":"a123593b16280cd215b606507e50adad3ca96669f4acc134a1a6104e0d3934d5","schema_version":"1.0","event_id":"sha256:a123593b16280cd215b606507e50adad3ca96669f4acc134a1a6104e0d3934d5"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/6OCIWWBCXXDIYURGOVG3RZXXA6/bundle.json","state_url":"https://pith.science/pith/6OCIWWBCXXDIYURGOVG3RZXXA6/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/6OCIWWBCXXDIYURGOVG3RZXXA6/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":"2026-06-11T18:54:04Z","links":{"resolver":"https://pith.science/pith/6OCIWWBCXXDIYURGOVG3RZXXA6","bundle":"https://pith.science/pith/6OCIWWBCXXDIYURGOVG3RZXXA6/bundle.json","state":"https://pith.science/pith/6OCIWWBCXXDIYURGOVG3RZXXA6/state.json","well_known_bundle":"https://pith.science/.well-known/pith/6OCIWWBCXXDIYURGOVG3RZXXA6/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:6OCIWWBCXXDIYURGOVG3RZXXA6","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":"549f7ebb3d17d0b0ce4e5e8caebf1ae1f2761141838793352eb04e412005a4f1","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2015-02-12T20:53:17Z","title_canon_sha256":"9a825f4854d85a09d4ab944d2209624dfaee433efa471246f7c3b64dd92e439b"},"schema_version":"1.0","source":{"id":"1502.03806","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1502.03806","created_at":"2026-05-18T02:27:08Z"},{"alias_kind":"arxiv_version","alias_value":"1502.03806v1","created_at":"2026-05-18T02:27:08Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1502.03806","created_at":"2026-05-18T02:27:08Z"},{"alias_kind":"pith_short_12","alias_value":"6OCIWWBCXXDI","created_at":"2026-05-18T12:29:07Z"},{"alias_kind":"pith_short_16","alias_value":"6OCIWWBCXXDIYURG","created_at":"2026-05-18T12:29:07Z"},{"alias_kind":"pith_short_8","alias_value":"6OCIWWBC","created_at":"2026-05-18T12:29:07Z"}],"graph_snapshots":[{"event_id":"sha256:a123593b16280cd215b606507e50adad3ca96669f4acc134a1a6104e0d3934d5","target":"graph","created_at":"2026-05-18T02:27:08Z","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 study Seshadri constants of ample line bundles on hyperelliptic surfaces. We obtain new lower bounds and compute the exact values of Seshadri constants in some cases. Our approach uses results of F. Serrano (1990), B. Harboune and J. Roe (2008), F. Bastianelli (2009), A.L. Knutsen, W. Syzdek and T. Szemberg (2009).","authors_text":"Lucja Farnik","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2015-02-12T20:53:17Z","title":"A note on Seshadri constants of line bundles on hyperelliptic surfaces"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1502.03806","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":"sha256:42255f569f94f920a97c8594662b37ed49d9a5cea99569a1bc53b5859333a5c8","target":"record","created_at":"2026-05-18T02:27:08Z","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":"549f7ebb3d17d0b0ce4e5e8caebf1ae1f2761141838793352eb04e412005a4f1","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2015-02-12T20:53:17Z","title_canon_sha256":"9a825f4854d85a09d4ab944d2209624dfaee433efa471246f7c3b64dd92e439b"},"schema_version":"1.0","source":{"id":"1502.03806","kind":"arxiv","version":1}},"canonical_sha256":"f3848b5822bdc68c5226754db8e6f707a0709092852f28c92a0834b0962e7982","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f3848b5822bdc68c5226754db8e6f707a0709092852f28c92a0834b0962e7982","first_computed_at":"2026-05-18T02:27:08.785346Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:27:08.785346Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"qxfefveX4HCl87jrtv6QiyjiHhDbWGFYSaezDhdfdYM+X1yLFDwPVx+JqISCu1ciaR3uBo9FiLI3LjJ40Gc5Dg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:27:08.786221Z","signed_message":"canonical_sha256_bytes"},"source_id":"1502.03806","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:42255f569f94f920a97c8594662b37ed49d9a5cea99569a1bc53b5859333a5c8","sha256:a123593b16280cd215b606507e50adad3ca96669f4acc134a1a6104e0d3934d5"],"state_sha256":"c1526e39ee6e7dfaacf31bca62d220b897f26453d55c57226fa885272a684759"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"SNgUtRInM7AoyFLSDoelqxtWG79VrYddu6DLCOVAuE8GVS58FN/+VScpBIq01GSFnBWMGAhgPqTHz5i+TaUkDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-11T18:54:04.397269Z","bundle_sha256":"95d77bd867ea8194aec634c69a254397f0574f5d28b357b84cc44acbbc8d7c91"}}