{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2019:E6Y74P5O7N47D27XABDWAUOCBE","short_pith_number":"pith:E6Y74P5O","canonical_record":{"source":{"id":"1904.03687","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2019-04-07T16:59:49Z","cross_cats_sorted":[],"title_canon_sha256":"bf4105f9a8ebfd1381948c93934732092bbf048f880e65cf2c292964d63ee532","abstract_canon_sha256":"4d451deed18c0b4de5b49967a64eb41d3686009d882e81a9f26bab1eb6b855bd"},"schema_version":"1.0"},"canonical_sha256":"27b1fe3faefb79f1ebf700476051c2090840562719e1f998073c23cc1ec36041","source":{"kind":"arxiv","id":"1904.03687","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1904.03687","created_at":"2026-05-17T23:49:12Z"},{"alias_kind":"arxiv_version","alias_value":"1904.03687v1","created_at":"2026-05-17T23:49:12Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1904.03687","created_at":"2026-05-17T23:49:12Z"},{"alias_kind":"pith_short_12","alias_value":"E6Y74P5O7N47","created_at":"2026-05-18T12:33:15Z"},{"alias_kind":"pith_short_16","alias_value":"E6Y74P5O7N47D27X","created_at":"2026-05-18T12:33:15Z"},{"alias_kind":"pith_short_8","alias_value":"E6Y74P5O","created_at":"2026-05-18T12:33:15Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2019:E6Y74P5O7N47D27XABDWAUOCBE","target":"record","payload":{"canonical_record":{"source":{"id":"1904.03687","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2019-04-07T16:59:49Z","cross_cats_sorted":[],"title_canon_sha256":"bf4105f9a8ebfd1381948c93934732092bbf048f880e65cf2c292964d63ee532","abstract_canon_sha256":"4d451deed18c0b4de5b49967a64eb41d3686009d882e81a9f26bab1eb6b855bd"},"schema_version":"1.0"},"canonical_sha256":"27b1fe3faefb79f1ebf700476051c2090840562719e1f998073c23cc1ec36041","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:49:12.521737Z","signature_b64":"Wo/J7MoOVfxvpB1lhKyJneSvg0dZCRfHqrTfpy3VHfmeLuNK9mPJTKmpL8adv3zZfdVHAanKUgfPCOQvBt2LCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"27b1fe3faefb79f1ebf700476051c2090840562719e1f998073c23cc1ec36041","last_reissued_at":"2026-05-17T23:49:12.521062Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:49:12.521062Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1904.03687","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":"2026-05-17T23:49:12Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"J3NgjxwCbh7DKQXyuSKmraLQxL3ZSBiBmlnzxu6Gkg3CvFEA2tPwxlqHvxJHPCR0ylOk5GbMPri8Wzr3SpD5Cg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-02T04:06:59.539521Z"},"content_sha256":"1297c7272caea8d5c3ce667751f9294430f241713a587f7fcaa3e4208a78163d","schema_version":"1.0","event_id":"sha256:1297c7272caea8d5c3ce667751f9294430f241713a587f7fcaa3e4208a78163d"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2019:E6Y74P5O7N47D27XABDWAUOCBE","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Le groupe de Selmer des isog\\'enies de hauteur un","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Damian R\\\"ossler","submitted_at":"2019-04-07T16:59:49Z","abstract_excerpt":"On montre que le groupe de Selmer d'une isog\\'enie de hauteur un entre deux vari\\'et\\'es ab\\'eliennes d\\'efinies sur le corps de fonctions d'une vari\\'et\\'e quasi-projective et lisse $V$ sur un corps parfait $k_0$ de caract\\'eristique $p>0$ peut \\^etre plong\\'e dans le groupe des homomorphismes entre deux fibr\\'es vectoriels naturels sur $V$. / We show that the Selmer group of an isogeny of height one between two abelian varieties defined on the function field of a smooth and quasi-projective variety $V$ over a perfect field $k_0$ of characteristic $p>0$ can be embedded in the group of homomor"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1904.03687","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":"2026-05-17T23:49:12Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"jMIKBMzS666GAO0vLeU3KzfA1X1TdihepNFNhq8d5IJwyI/+O2yp8ZZr29/gLJbXI1FWQdJ0jAw42SqC1TgFBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-02T04:06:59.539871Z"},"content_sha256":"a1762d148904149950b5a956bd7205d750acfce5646375d8a8685d34457d192a","schema_version":"1.0","event_id":"sha256:a1762d148904149950b5a956bd7205d750acfce5646375d8a8685d34457d192a"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/E6Y74P5O7N47D27XABDWAUOCBE/bundle.json","state_url":"https://pith.science/pith/E6Y74P5O7N47D27XABDWAUOCBE/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/E6Y74P5O7N47D27XABDWAUOCBE/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":"2026-07-02T04:06:59Z","links":{"resolver":"https://pith.science/pith/E6Y74P5O7N47D27XABDWAUOCBE","bundle":"https://pith.science/pith/E6Y74P5O7N47D27XABDWAUOCBE/bundle.json","state":"https://pith.science/pith/E6Y74P5O7N47D27XABDWAUOCBE/state.json","well_known_bundle":"https://pith.science/.well-known/pith/E6Y74P5O7N47D27XABDWAUOCBE/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:E6Y74P5O7N47D27XABDWAUOCBE","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":"4d451deed18c0b4de5b49967a64eb41d3686009d882e81a9f26bab1eb6b855bd","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2019-04-07T16:59:49Z","title_canon_sha256":"bf4105f9a8ebfd1381948c93934732092bbf048f880e65cf2c292964d63ee532"},"schema_version":"1.0","source":{"id":"1904.03687","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1904.03687","created_at":"2026-05-17T23:49:12Z"},{"alias_kind":"arxiv_version","alias_value":"1904.03687v1","created_at":"2026-05-17T23:49:12Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1904.03687","created_at":"2026-05-17T23:49:12Z"},{"alias_kind":"pith_short_12","alias_value":"E6Y74P5O7N47","created_at":"2026-05-18T12:33:15Z"},{"alias_kind":"pith_short_16","alias_value":"E6Y74P5O7N47D27X","created_at":"2026-05-18T12:33:15Z"},{"alias_kind":"pith_short_8","alias_value":"E6Y74P5O","created_at":"2026-05-18T12:33:15Z"}],"graph_snapshots":[{"event_id":"sha256:a1762d148904149950b5a956bd7205d750acfce5646375d8a8685d34457d192a","target":"graph","created_at":"2026-05-17T23:49:12Z","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":"On montre que le groupe de Selmer d'une isog\\'enie de hauteur un entre deux vari\\'et\\'es ab\\'eliennes d\\'efinies sur le corps de fonctions d'une vari\\'et\\'e quasi-projective et lisse $V$ sur un corps parfait $k_0$ de caract\\'eristique $p>0$ peut \\^etre plong\\'e dans le groupe des homomorphismes entre deux fibr\\'es vectoriels naturels sur $V$. / We show that the Selmer group of an isogeny of height one between two abelian varieties defined on the function field of a smooth and quasi-projective variety $V$ over a perfect field $k_0$ of characteristic $p>0$ can be embedded in the group of homomor","authors_text":"Damian R\\\"ossler","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2019-04-07T16:59:49Z","title":"Le groupe de Selmer des isog\\'enies de hauteur un"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1904.03687","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":"sha256:1297c7272caea8d5c3ce667751f9294430f241713a587f7fcaa3e4208a78163d","target":"record","created_at":"2026-05-17T23:49:12Z","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":"4d451deed18c0b4de5b49967a64eb41d3686009d882e81a9f26bab1eb6b855bd","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2019-04-07T16:59:49Z","title_canon_sha256":"bf4105f9a8ebfd1381948c93934732092bbf048f880e65cf2c292964d63ee532"},"schema_version":"1.0","source":{"id":"1904.03687","kind":"arxiv","version":1}},"canonical_sha256":"27b1fe3faefb79f1ebf700476051c2090840562719e1f998073c23cc1ec36041","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"27b1fe3faefb79f1ebf700476051c2090840562719e1f998073c23cc1ec36041","first_computed_at":"2026-05-17T23:49:12.521062Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:49:12.521062Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Wo/J7MoOVfxvpB1lhKyJneSvg0dZCRfHqrTfpy3VHfmeLuNK9mPJTKmpL8adv3zZfdVHAanKUgfPCOQvBt2LCQ==","signature_status":"signed_v1","signed_at":"2026-05-17T23:49:12.521737Z","signed_message":"canonical_sha256_bytes"},"source_id":"1904.03687","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1297c7272caea8d5c3ce667751f9294430f241713a587f7fcaa3e4208a78163d","sha256:a1762d148904149950b5a956bd7205d750acfce5646375d8a8685d34457d192a"],"state_sha256":"5f198b3f13e7d47ddeb7f266f27be294c6125ed863ab7e88400d87fb90552d7f"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"J6kpB0UFecDEA5rco5RP4xGp6z3AGTCA3qIk0BC+RgQ6LY4fQfYB4XOp+7VcLz3cJ6q7mTdwc5UIj9tn1RWjDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-02T04:06:59.541792Z","bundle_sha256":"cdd914aa5e5f75e283c410e44162d5c7e2c98b4e30bc10dc22ec593173a8e0c2"}}