{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:AH2M5ARXA6HASWYQYOYD433L7A","short_pith_number":"pith:AH2M5ARX","canonical_record":{"source":{"id":"1107.2210","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2011-07-12T08:40:46Z","cross_cats_sorted":[],"title_canon_sha256":"301ac0c53066bfc6007426f0944eee088094ffe26edd80ce8f349ccb91fe5ac8","abstract_canon_sha256":"30f606fb8719018d9554bd09cb3aecbc485de2bc56292e42c52456564c04576e"},"schema_version":"1.0"},"canonical_sha256":"01f4ce8237078e095b10c3b03e6f6bf83b657502c49f09eecb5f003f1bff329c","source":{"kind":"arxiv","id":"1107.2210","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1107.2210","created_at":"2026-05-18T02:30:48Z"},{"alias_kind":"arxiv_version","alias_value":"1107.2210v2","created_at":"2026-05-18T02:30:48Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1107.2210","created_at":"2026-05-18T02:30:48Z"},{"alias_kind":"pith_short_12","alias_value":"AH2M5ARXA6HA","created_at":"2026-05-18T12:26:24Z"},{"alias_kind":"pith_short_16","alias_value":"AH2M5ARXA6HASWYQ","created_at":"2026-05-18T12:26:24Z"},{"alias_kind":"pith_short_8","alias_value":"AH2M5ARX","created_at":"2026-05-18T12:26:24Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:AH2M5ARXA6HASWYQYOYD433L7A","target":"record","payload":{"canonical_record":{"source":{"id":"1107.2210","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2011-07-12T08:40:46Z","cross_cats_sorted":[],"title_canon_sha256":"301ac0c53066bfc6007426f0944eee088094ffe26edd80ce8f349ccb91fe5ac8","abstract_canon_sha256":"30f606fb8719018d9554bd09cb3aecbc485de2bc56292e42c52456564c04576e"},"schema_version":"1.0"},"canonical_sha256":"01f4ce8237078e095b10c3b03e6f6bf83b657502c49f09eecb5f003f1bff329c","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:30:48.048990Z","signature_b64":"8J7B/6afa8sWuukCn44jRnpetYyjc0fJKIzLIspiEKTvvt99oR2Xxkn3YinKC/Eqx5zolTKmpdN8trNwqQ8mBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"01f4ce8237078e095b10c3b03e6f6bf83b657502c49f09eecb5f003f1bff329c","last_reissued_at":"2026-05-18T02:30:48.048482Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:30:48.048482Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1107.2210","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":"2026-05-18T02:30:48Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"DuuOpi9+uIHtZIat4qmu0tM5/JLmtorCq2voalaZmQ70LbceOF3gpEYfcdI2ZMULQAwuXHDaToaOHYKlTMXzCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T19:07:42.860362Z"},"content_sha256":"09a1039053d05bd424ea345d22df73d78ae5b0bc19f342f69f132ee01c21cb2d","schema_version":"1.0","event_id":"sha256:09a1039053d05bd424ea345d22df73d78ae5b0bc19f342f69f132ee01c21cb2d"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:AH2M5ARXA6HASWYQYOYD433L7A","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"The Barth quintic surface has Picard number 41","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Matthias Schuett, Slawomir Rams","submitted_at":"2011-07-12T08:40:46Z","abstract_excerpt":"This paper investigates a specific smooth quintic surface suggested by Barth for it contains the current record of 75 lines over the complex numbers. Our main incentive is to prove that the complex quintic has Picard number 41, and to compute the Neron-Severi group up to a 2-power index. We also compute Picard numbers for reductions to positive characteristic and verify the Tate conjecture."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1107.2210","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":"2026-05-18T02:30:48Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"PcuPKPBtpdzpH0qD/WRTt7sRPXKjjJe/l7ogKjMbepTH49F9GEIQeB+1UByQC3DGuAOASyHsP3a1Mv9PkwvTAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T19:07:42.860801Z"},"content_sha256":"96743d470110f767a9c4722ee012a21d8d406b18808c95ae6236720c30426c7c","schema_version":"1.0","event_id":"sha256:96743d470110f767a9c4722ee012a21d8d406b18808c95ae6236720c30426c7c"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/AH2M5ARXA6HASWYQYOYD433L7A/bundle.json","state_url":"https://pith.science/pith/AH2M5ARXA6HASWYQYOYD433L7A/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/AH2M5ARXA6HASWYQYOYD433L7A/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":"2026-05-26T19:07:42Z","links":{"resolver":"https://pith.science/pith/AH2M5ARXA6HASWYQYOYD433L7A","bundle":"https://pith.science/pith/AH2M5ARXA6HASWYQYOYD433L7A/bundle.json","state":"https://pith.science/pith/AH2M5ARXA6HASWYQYOYD433L7A/state.json","well_known_bundle":"https://pith.science/.well-known/pith/AH2M5ARXA6HASWYQYOYD433L7A/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:AH2M5ARXA6HASWYQYOYD433L7A","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":"30f606fb8719018d9554bd09cb3aecbc485de2bc56292e42c52456564c04576e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2011-07-12T08:40:46Z","title_canon_sha256":"301ac0c53066bfc6007426f0944eee088094ffe26edd80ce8f349ccb91fe5ac8"},"schema_version":"1.0","source":{"id":"1107.2210","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1107.2210","created_at":"2026-05-18T02:30:48Z"},{"alias_kind":"arxiv_version","alias_value":"1107.2210v2","created_at":"2026-05-18T02:30:48Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1107.2210","created_at":"2026-05-18T02:30:48Z"},{"alias_kind":"pith_short_12","alias_value":"AH2M5ARXA6HA","created_at":"2026-05-18T12:26:24Z"},{"alias_kind":"pith_short_16","alias_value":"AH2M5ARXA6HASWYQ","created_at":"2026-05-18T12:26:24Z"},{"alias_kind":"pith_short_8","alias_value":"AH2M5ARX","created_at":"2026-05-18T12:26:24Z"}],"graph_snapshots":[{"event_id":"sha256:96743d470110f767a9c4722ee012a21d8d406b18808c95ae6236720c30426c7c","target":"graph","created_at":"2026-05-18T02:30:48Z","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":"This paper investigates a specific smooth quintic surface suggested by Barth for it contains the current record of 75 lines over the complex numbers. Our main incentive is to prove that the complex quintic has Picard number 41, and to compute the Neron-Severi group up to a 2-power index. We also compute Picard numbers for reductions to positive characteristic and verify the Tate conjecture.","authors_text":"Matthias Schuett, Slawomir Rams","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2011-07-12T08:40:46Z","title":"The Barth quintic surface has Picard number 41"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1107.2210","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":"sha256:09a1039053d05bd424ea345d22df73d78ae5b0bc19f342f69f132ee01c21cb2d","target":"record","created_at":"2026-05-18T02:30:48Z","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":"30f606fb8719018d9554bd09cb3aecbc485de2bc56292e42c52456564c04576e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2011-07-12T08:40:46Z","title_canon_sha256":"301ac0c53066bfc6007426f0944eee088094ffe26edd80ce8f349ccb91fe5ac8"},"schema_version":"1.0","source":{"id":"1107.2210","kind":"arxiv","version":2}},"canonical_sha256":"01f4ce8237078e095b10c3b03e6f6bf83b657502c49f09eecb5f003f1bff329c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"01f4ce8237078e095b10c3b03e6f6bf83b657502c49f09eecb5f003f1bff329c","first_computed_at":"2026-05-18T02:30:48.048482Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:30:48.048482Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"8J7B/6afa8sWuukCn44jRnpetYyjc0fJKIzLIspiEKTvvt99oR2Xxkn3YinKC/Eqx5zolTKmpdN8trNwqQ8mBw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:30:48.048990Z","signed_message":"canonical_sha256_bytes"},"source_id":"1107.2210","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:09a1039053d05bd424ea345d22df73d78ae5b0bc19f342f69f132ee01c21cb2d","sha256:96743d470110f767a9c4722ee012a21d8d406b18808c95ae6236720c30426c7c"],"state_sha256":"fb615221992819c75900755cbca54b55cb0f689dc5ac1f640bab1e3e4b37fae9"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"G/t1SyeozbaL7IKdL0og8dAPXWPWs2F1KwsoEC/mpoBC90p6oAZharylPNBvBGoh3nlLfXw5nnA0/k9coo1KAQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-26T19:07:42.863893Z","bundle_sha256":"1a290327690f050593975db343f18eef2f887cbaf533dcf9f0009fdd0aaf6e71"}}