{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:1997:DP2UIKXUBAEV77SZSBDB3FE55J","short_pith_number":"pith:DP2UIKXU","canonical_record":{"source":{"id":"alg-geom/9702004","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"alg-geom","submitted_at":"1997-02-03T20:20:45Z","cross_cats_sorted":["math.AG"],"title_canon_sha256":"8ddade7aa2c56eb67a0a885c82aeb4912df7813021d1f3f108099ed40b8e4362","abstract_canon_sha256":"9732b276f0ac3595c20fee5bebd9477e9b96904872201e26b227c50721036ffe"},"schema_version":"1.0"},"canonical_sha256":"1bf5442af408095ffe5990461d949dea5f6030791ddf9b0b54a1b5adcc27409d","source":{"kind":"arxiv","id":"alg-geom/9702004","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"alg-geom/9702004","created_at":"2026-05-18T01:07:47Z"},{"alias_kind":"arxiv_version","alias_value":"alg-geom/9702004v2","created_at":"2026-05-18T01:07:47Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.alg-geom/9702004","created_at":"2026-05-18T01:07:47Z"},{"alias_kind":"pith_short_12","alias_value":"DP2UIKXUBAEV","created_at":"2026-05-18T12:25:48Z"},{"alias_kind":"pith_short_16","alias_value":"DP2UIKXUBAEV77SZ","created_at":"2026-05-18T12:25:48Z"},{"alias_kind":"pith_short_8","alias_value":"DP2UIKXU","created_at":"2026-05-18T12:25:48Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:1997:DP2UIKXUBAEV77SZSBDB3FE55J","target":"record","payload":{"canonical_record":{"source":{"id":"alg-geom/9702004","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"alg-geom","submitted_at":"1997-02-03T20:20:45Z","cross_cats_sorted":["math.AG"],"title_canon_sha256":"8ddade7aa2c56eb67a0a885c82aeb4912df7813021d1f3f108099ed40b8e4362","abstract_canon_sha256":"9732b276f0ac3595c20fee5bebd9477e9b96904872201e26b227c50721036ffe"},"schema_version":"1.0"},"canonical_sha256":"1bf5442af408095ffe5990461d949dea5f6030791ddf9b0b54a1b5adcc27409d","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:07:47.111329Z","signature_b64":"Jd3/yHSeOnyNy7imMrxoAvmUe+9lEAbpai2zIuqzBCT2d3t2BZyZDvsPLwmf41NMMMAgmzMxqWHittU+qKNtDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1bf5442af408095ffe5990461d949dea5f6030791ddf9b0b54a1b5adcc27409d","last_reissued_at":"2026-05-18T01:07:47.110784Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:07:47.110784Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"alg-geom/9702004","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":"2026-05-18T01:07:47Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Q0FXJI7kt7vjWmYYHTT84fN5DrKYiKcVjtfVhbrog2uGrxN5X4I1VeKJE3m4NDu3SaORZxoVhKl4KdMa2axDCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-24T03:47:59.875194Z"},"content_sha256":"8529bda6ad20233793a17cfabe6be8355747b1dc0ca23187355f2738766a26a2","schema_version":"1.0","event_id":"sha256:8529bda6ad20233793a17cfabe6be8355747b1dc0ca23187355f2738766a26a2"},{"event_type":"graph_snapshot","subject_pith_number":"pith:1997:DP2UIKXUBAEV77SZSBDB3FE55J","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Semistable reduction of abelian varieties over extensions of small degree","license":"","headline":"","cross_cats":["math.AG"],"primary_cat":"alg-geom","authors_text":"A. Silverberg, Yu. G. Zarhin","submitted_at":"1997-02-03T20:20:45Z","abstract_excerpt":"We obtain necessary and sufficient conditions for abelian varieties to acquire semistable reduction over fields of low degree. Our criteria are expressed in terms of torsion points of small order defined over unramified extensions."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"alg-geom/9702004","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":"2026-05-18T01:07:47Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"VnCO574xqWuOnJkl1jCYeyeb1aJH/MFmBS4gYiSmY6oC3kzfwOB5w07+kC0f451yFYwuwZy1MM3459LdZCQ0AQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-24T03:47:59.875583Z"},"content_sha256":"8256e6ae8b23b1c52b17d1453f187716749546becf0075895a838fafaddc196d","schema_version":"1.0","event_id":"sha256:8256e6ae8b23b1c52b17d1453f187716749546becf0075895a838fafaddc196d"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/DP2UIKXUBAEV77SZSBDB3FE55J/bundle.json","state_url":"https://pith.science/pith/DP2UIKXUBAEV77SZSBDB3FE55J/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/DP2UIKXUBAEV77SZSBDB3FE55J/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":"2026-06-24T03:47:59Z","links":{"resolver":"https://pith.science/pith/DP2UIKXUBAEV77SZSBDB3FE55J","bundle":"https://pith.science/pith/DP2UIKXUBAEV77SZSBDB3FE55J/bundle.json","state":"https://pith.science/pith/DP2UIKXUBAEV77SZSBDB3FE55J/state.json","well_known_bundle":"https://pith.science/.well-known/pith/DP2UIKXUBAEV77SZSBDB3FE55J/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:1997:DP2UIKXUBAEV77SZSBDB3FE55J","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":"9732b276f0ac3595c20fee5bebd9477e9b96904872201e26b227c50721036ffe","cross_cats_sorted":["math.AG"],"license":"","primary_cat":"alg-geom","submitted_at":"1997-02-03T20:20:45Z","title_canon_sha256":"8ddade7aa2c56eb67a0a885c82aeb4912df7813021d1f3f108099ed40b8e4362"},"schema_version":"1.0","source":{"id":"alg-geom/9702004","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"alg-geom/9702004","created_at":"2026-05-18T01:07:47Z"},{"alias_kind":"arxiv_version","alias_value":"alg-geom/9702004v2","created_at":"2026-05-18T01:07:47Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.alg-geom/9702004","created_at":"2026-05-18T01:07:47Z"},{"alias_kind":"pith_short_12","alias_value":"DP2UIKXUBAEV","created_at":"2026-05-18T12:25:48Z"},{"alias_kind":"pith_short_16","alias_value":"DP2UIKXUBAEV77SZ","created_at":"2026-05-18T12:25:48Z"},{"alias_kind":"pith_short_8","alias_value":"DP2UIKXU","created_at":"2026-05-18T12:25:48Z"}],"graph_snapshots":[{"event_id":"sha256:8256e6ae8b23b1c52b17d1453f187716749546becf0075895a838fafaddc196d","target":"graph","created_at":"2026-05-18T01:07:47Z","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 obtain necessary and sufficient conditions for abelian varieties to acquire semistable reduction over fields of low degree. Our criteria are expressed in terms of torsion points of small order defined over unramified extensions.","authors_text":"A. Silverberg, Yu. G. Zarhin","cross_cats":["math.AG"],"headline":"","license":"","primary_cat":"alg-geom","submitted_at":"1997-02-03T20:20:45Z","title":"Semistable reduction of abelian varieties over extensions of small degree"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"alg-geom/9702004","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":"sha256:8529bda6ad20233793a17cfabe6be8355747b1dc0ca23187355f2738766a26a2","target":"record","created_at":"2026-05-18T01:07:47Z","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":"9732b276f0ac3595c20fee5bebd9477e9b96904872201e26b227c50721036ffe","cross_cats_sorted":["math.AG"],"license":"","primary_cat":"alg-geom","submitted_at":"1997-02-03T20:20:45Z","title_canon_sha256":"8ddade7aa2c56eb67a0a885c82aeb4912df7813021d1f3f108099ed40b8e4362"},"schema_version":"1.0","source":{"id":"alg-geom/9702004","kind":"arxiv","version":2}},"canonical_sha256":"1bf5442af408095ffe5990461d949dea5f6030791ddf9b0b54a1b5adcc27409d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1bf5442af408095ffe5990461d949dea5f6030791ddf9b0b54a1b5adcc27409d","first_computed_at":"2026-05-18T01:07:47.110784Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:07:47.110784Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Jd3/yHSeOnyNy7imMrxoAvmUe+9lEAbpai2zIuqzBCT2d3t2BZyZDvsPLwmf41NMMMAgmzMxqWHittU+qKNtDw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:07:47.111329Z","signed_message":"canonical_sha256_bytes"},"source_id":"alg-geom/9702004","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8529bda6ad20233793a17cfabe6be8355747b1dc0ca23187355f2738766a26a2","sha256:8256e6ae8b23b1c52b17d1453f187716749546becf0075895a838fafaddc196d"],"state_sha256":"5f98782a18f7ff6e0577936e4c9c462c4db8dc068ee91dabda3721137938650e"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"5BIidfYno6+zaFlhYVkD/9fRioBP8SWibTEa++5rEKjbfmQ56bkutqItFJjPqhiH9ScNIff/ovK/5OPPNf9yCg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-24T03:47:59.877486Z","bundle_sha256":"356f4157f119537d027ef9ff04b9ef1399d55b36703abc3178bda68cf5344a95"}}