{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2007:CJ6ET4USYDNYFHY5BEVDDN7PL6","short_pith_number":"pith:CJ6ET4US","canonical_record":{"source":{"id":"math/0701297","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"math.AG","submitted_at":"2007-01-10T15:41:11Z","cross_cats_sorted":[],"title_canon_sha256":"0b6c1364111aeae791d58bc8d6debd5f13b4a415d7f1a99e31393041844a9863","abstract_canon_sha256":"1518471d99ac8ca110b7f9ac9040125a7c1d0172a5e6ec331aa2a307449d4015"},"schema_version":"1.0"},"canonical_sha256":"127c49f292c0db829f1d092a31b7ef5fb91c15d0d0ace2f9306367d19d4f1a94","source":{"kind":"arxiv","id":"math/0701297","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"math/0701297","created_at":"2026-05-18T02:57:24Z"},{"alias_kind":"arxiv_version","alias_value":"math/0701297v1","created_at":"2026-05-18T02:57:24Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math/0701297","created_at":"2026-05-18T02:57:24Z"},{"alias_kind":"pith_short_12","alias_value":"CJ6ET4USYDNY","created_at":"2026-05-18T12:25:55Z"},{"alias_kind":"pith_short_16","alias_value":"CJ6ET4USYDNYFHY5","created_at":"2026-05-18T12:25:55Z"},{"alias_kind":"pith_short_8","alias_value":"CJ6ET4US","created_at":"2026-05-18T12:25:55Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2007:CJ6ET4USYDNYFHY5BEVDDN7PL6","target":"record","payload":{"canonical_record":{"source":{"id":"math/0701297","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"math.AG","submitted_at":"2007-01-10T15:41:11Z","cross_cats_sorted":[],"title_canon_sha256":"0b6c1364111aeae791d58bc8d6debd5f13b4a415d7f1a99e31393041844a9863","abstract_canon_sha256":"1518471d99ac8ca110b7f9ac9040125a7c1d0172a5e6ec331aa2a307449d4015"},"schema_version":"1.0"},"canonical_sha256":"127c49f292c0db829f1d092a31b7ef5fb91c15d0d0ace2f9306367d19d4f1a94","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:57:24.527224Z","signature_b64":"9t6zrzRphwManE3x6alU1ix/zBWL02ZdGACfwSGJKv09I/xUZ52yrvIHxESQZY+TYX5Tt6D/evQ/mxbY4HSaDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"127c49f292c0db829f1d092a31b7ef5fb91c15d0d0ace2f9306367d19d4f1a94","last_reissued_at":"2026-05-18T02:57:24.526457Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:57:24.526457Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"math/0701297","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":"2026-05-18T02:57:24Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"vDLSjJ21t35v4bsC171X5lMqWYSQLwZHJ+ckxyZsH0JV2qOdF9nKyn9BycXDJf4Al1Sg3Y84wcZlXoKnRlqICg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-26T07:09:56.764832Z"},"content_sha256":"a8f0293156ae49901c1c4b0cd79844de422f9ce20ae7c880d84f1392a0d8a100","schema_version":"1.0","event_id":"sha256:a8f0293156ae49901c1c4b0cd79844de422f9ce20ae7c880d84f1392a0d8a100"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2007:CJ6ET4USYDNYFHY5BEVDDN7PL6","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Ramification of Quaternion Algebras over Stable Elliptic Surfaces","license":"","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Arvid Perego","submitted_at":"2007-01-10T15:41:11Z","abstract_excerpt":"We give a geometrical criterion to determine when a quaternion algebra over the function field of a stable elliptic surface X is an Azumaya algebra over X."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/0701297","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":"2026-05-18T02:57:24Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"cTrFGcMm3nVmqIIRUkU8n4Gb/BcbtC/Z2kVHjlSSt550TvaJsVoGSGyNcRL6MnuMj1uvc8hKnieQVDt1XKL8Bw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-26T07:09:56.765182Z"},"content_sha256":"30aea5f901b2a46fd6ab2fb78b171fa221d0914d151e1076822bef774e831381","schema_version":"1.0","event_id":"sha256:30aea5f901b2a46fd6ab2fb78b171fa221d0914d151e1076822bef774e831381"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/CJ6ET4USYDNYFHY5BEVDDN7PL6/bundle.json","state_url":"https://pith.science/pith/CJ6ET4USYDNYFHY5BEVDDN7PL6/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/CJ6ET4USYDNYFHY5BEVDDN7PL6/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":"2026-06-26T07:09:56Z","links":{"resolver":"https://pith.science/pith/CJ6ET4USYDNYFHY5BEVDDN7PL6","bundle":"https://pith.science/pith/CJ6ET4USYDNYFHY5BEVDDN7PL6/bundle.json","state":"https://pith.science/pith/CJ6ET4USYDNYFHY5BEVDDN7PL6/state.json","well_known_bundle":"https://pith.science/.well-known/pith/CJ6ET4USYDNYFHY5BEVDDN7PL6/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2007:CJ6ET4USYDNYFHY5BEVDDN7PL6","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":"1518471d99ac8ca110b7f9ac9040125a7c1d0172a5e6ec331aa2a307449d4015","cross_cats_sorted":[],"license":"","primary_cat":"math.AG","submitted_at":"2007-01-10T15:41:11Z","title_canon_sha256":"0b6c1364111aeae791d58bc8d6debd5f13b4a415d7f1a99e31393041844a9863"},"schema_version":"1.0","source":{"id":"math/0701297","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"math/0701297","created_at":"2026-05-18T02:57:24Z"},{"alias_kind":"arxiv_version","alias_value":"math/0701297v1","created_at":"2026-05-18T02:57:24Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math/0701297","created_at":"2026-05-18T02:57:24Z"},{"alias_kind":"pith_short_12","alias_value":"CJ6ET4USYDNY","created_at":"2026-05-18T12:25:55Z"},{"alias_kind":"pith_short_16","alias_value":"CJ6ET4USYDNYFHY5","created_at":"2026-05-18T12:25:55Z"},{"alias_kind":"pith_short_8","alias_value":"CJ6ET4US","created_at":"2026-05-18T12:25:55Z"}],"graph_snapshots":[{"event_id":"sha256:30aea5f901b2a46fd6ab2fb78b171fa221d0914d151e1076822bef774e831381","target":"graph","created_at":"2026-05-18T02:57:24Z","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 geometrical criterion to determine when a quaternion algebra over the function field of a stable elliptic surface X is an Azumaya algebra over X.","authors_text":"Arvid Perego","cross_cats":[],"headline":"","license":"","primary_cat":"math.AG","submitted_at":"2007-01-10T15:41:11Z","title":"Ramification of Quaternion Algebras over Stable Elliptic Surfaces"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/0701297","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:a8f0293156ae49901c1c4b0cd79844de422f9ce20ae7c880d84f1392a0d8a100","target":"record","created_at":"2026-05-18T02:57:24Z","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":"1518471d99ac8ca110b7f9ac9040125a7c1d0172a5e6ec331aa2a307449d4015","cross_cats_sorted":[],"license":"","primary_cat":"math.AG","submitted_at":"2007-01-10T15:41:11Z","title_canon_sha256":"0b6c1364111aeae791d58bc8d6debd5f13b4a415d7f1a99e31393041844a9863"},"schema_version":"1.0","source":{"id":"math/0701297","kind":"arxiv","version":1}},"canonical_sha256":"127c49f292c0db829f1d092a31b7ef5fb91c15d0d0ace2f9306367d19d4f1a94","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"127c49f292c0db829f1d092a31b7ef5fb91c15d0d0ace2f9306367d19d4f1a94","first_computed_at":"2026-05-18T02:57:24.526457Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:57:24.526457Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"9t6zrzRphwManE3x6alU1ix/zBWL02ZdGACfwSGJKv09I/xUZ52yrvIHxESQZY+TYX5Tt6D/evQ/mxbY4HSaDg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:57:24.527224Z","signed_message":"canonical_sha256_bytes"},"source_id":"math/0701297","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a8f0293156ae49901c1c4b0cd79844de422f9ce20ae7c880d84f1392a0d8a100","sha256:30aea5f901b2a46fd6ab2fb78b171fa221d0914d151e1076822bef774e831381"],"state_sha256":"2e914cac57439868934ba99e26c7cebb61ed531728097cb8f4fc178f68a78691"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"TJ9kjQUrAM8TeCHtbIZu/Hoa4vTkrQV+xk01e/yrararR5SCqOh2cq8JMEXXXCvpTTUQmiKI0RgWMtdCnKL2BA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-26T07:09:56.767049Z","bundle_sha256":"a14912be21b8e55e3272189412e36cd5cc807916366fa17ef4dd41d4f5a67a79"}}