{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:A3YTQB7ACRU37RL6K44W4QCYF7","short_pith_number":"pith:A3YTQB7A","canonical_record":{"source":{"id":"1804.04455","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2018-04-12T12:07:55Z","cross_cats_sorted":["math.NT"],"title_canon_sha256":"1ec580723c09232ec6c8ba8711020b1dcfd214ee1172a56ad927bac1ded72304","abstract_canon_sha256":"5824864c8c9c55fbcf15e3588e60e3e8256b587b315975895badd0b6a5ab7910"},"schema_version":"1.0"},"canonical_sha256":"06f13807e01469bfc57e57396e40582ff080ae7fd8177d8b49b8fa82d2047a76","source":{"kind":"arxiv","id":"1804.04455","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1804.04455","created_at":"2026-07-05T06:11:40Z"},{"alias_kind":"arxiv_version","alias_value":"1804.04455v2","created_at":"2026-07-05T06:11:40Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1804.04455","created_at":"2026-07-05T06:11:40Z"},{"alias_kind":"pith_short_12","alias_value":"A3YTQB7ACRU3","created_at":"2026-07-05T06:11:40Z"},{"alias_kind":"pith_short_16","alias_value":"A3YTQB7ACRU37RL6","created_at":"2026-07-05T06:11:40Z"},{"alias_kind":"pith_short_8","alias_value":"A3YTQB7A","created_at":"2026-07-05T06:11:40Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:A3YTQB7ACRU37RL6K44W4QCYF7","target":"record","payload":{"canonical_record":{"source":{"id":"1804.04455","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2018-04-12T12:07:55Z","cross_cats_sorted":["math.NT"],"title_canon_sha256":"1ec580723c09232ec6c8ba8711020b1dcfd214ee1172a56ad927bac1ded72304","abstract_canon_sha256":"5824864c8c9c55fbcf15e3588e60e3e8256b587b315975895badd0b6a5ab7910"},"schema_version":"1.0"},"canonical_sha256":"06f13807e01469bfc57e57396e40582ff080ae7fd8177d8b49b8fa82d2047a76","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T06:11:40.699697Z","signature_b64":"KYaRJKHOt8DZdZi1u5B5hlBquGG4SZGd3RCIlu1Fwo0qfGQ3RRi5zZfTyYPAwyWISB3oMwE7Noui4HJDh18yDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"06f13807e01469bfc57e57396e40582ff080ae7fd8177d8b49b8fa82d2047a76","last_reissued_at":"2026-07-05T06:11:40.699191Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T06:11:40.699191Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1804.04455","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":"2026-07-05T06:11:40Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ULafNpViuKz8U79zoMxsZHC84UIl8JCwQr48f7Z2HtAOAeNhYyoWPi3GZwMpGnrKAdSky1MAhCw5JWvkx2RODg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-07T12:29:47.866840Z"},"content_sha256":"7df08b405cbf3990f0e09b7d1319d833601d4c2e96f7136dd1524f1b1f3aff95","schema_version":"1.0","event_id":"sha256:7df08b405cbf3990f0e09b7d1319d833601d4c2e96f7136dd1524f1b1f3aff95"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:A3YTQB7ACRU37RL6K44W4QCYF7","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Perfectoid covers of abelian varieties","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.NT"],"primary_cat":"math.AG","authors_text":"Ben Heuer, Clifford Blakestad, Dami\\'an Gvirtz-Chen, Daria Shchedrina, Koji Shimizu, Peter Wear, Zijian Yao","submitted_at":"2018-04-12T12:07:55Z","abstract_excerpt":"For an abelian variety $A$ over an algebraically closed non-archimedean field of residue characteristic $p$, we show that there exists a perfectoid space which is the tilde-limit of $\\varprojlim_{[p]}A$. Our proof also works for the larger class of abeloid varieties."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1804.04455","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/1804.04455/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-07-05T06:11:40Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"raNVuPTxBpRSumzzjKopWJOd/kEQD6RFc6DSfZWpAYcmYAVPmPdDHKALisnN7PHAiS4xs1dq0J8O9fYX0EcIDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-07T12:29:47.867248Z"},"content_sha256":"ae7b246a7c2ec3ae387918459175095eeebdad0eaeaa364939aafa730796db22","schema_version":"1.0","event_id":"sha256:ae7b246a7c2ec3ae387918459175095eeebdad0eaeaa364939aafa730796db22"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/A3YTQB7ACRU37RL6K44W4QCYF7/bundle.json","state_url":"https://pith.science/pith/A3YTQB7ACRU37RL6K44W4QCYF7/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/A3YTQB7ACRU37RL6K44W4QCYF7/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":"2026-07-07T12:29:47Z","links":{"resolver":"https://pith.science/pith/A3YTQB7ACRU37RL6K44W4QCYF7","bundle":"https://pith.science/pith/A3YTQB7ACRU37RL6K44W4QCYF7/bundle.json","state":"https://pith.science/pith/A3YTQB7ACRU37RL6K44W4QCYF7/state.json","well_known_bundle":"https://pith.science/.well-known/pith/A3YTQB7ACRU37RL6K44W4QCYF7/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:A3YTQB7ACRU37RL6K44W4QCYF7","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":"5824864c8c9c55fbcf15e3588e60e3e8256b587b315975895badd0b6a5ab7910","cross_cats_sorted":["math.NT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2018-04-12T12:07:55Z","title_canon_sha256":"1ec580723c09232ec6c8ba8711020b1dcfd214ee1172a56ad927bac1ded72304"},"schema_version":"1.0","source":{"id":"1804.04455","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1804.04455","created_at":"2026-07-05T06:11:40Z"},{"alias_kind":"arxiv_version","alias_value":"1804.04455v2","created_at":"2026-07-05T06:11:40Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1804.04455","created_at":"2026-07-05T06:11:40Z"},{"alias_kind":"pith_short_12","alias_value":"A3YTQB7ACRU3","created_at":"2026-07-05T06:11:40Z"},{"alias_kind":"pith_short_16","alias_value":"A3YTQB7ACRU37RL6","created_at":"2026-07-05T06:11:40Z"},{"alias_kind":"pith_short_8","alias_value":"A3YTQB7A","created_at":"2026-07-05T06:11:40Z"}],"graph_snapshots":[{"event_id":"sha256:ae7b246a7c2ec3ae387918459175095eeebdad0eaeaa364939aafa730796db22","target":"graph","created_at":"2026-07-05T06:11:40Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/1804.04455/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"For an abelian variety $A$ over an algebraically closed non-archimedean field of residue characteristic $p$, we show that there exists a perfectoid space which is the tilde-limit of $\\varprojlim_{[p]}A$. Our proof also works for the larger class of abeloid varieties.","authors_text":"Ben Heuer, Clifford Blakestad, Dami\\'an Gvirtz-Chen, Daria Shchedrina, Koji Shimizu, Peter Wear, Zijian Yao","cross_cats":["math.NT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2018-04-12T12:07:55Z","title":"Perfectoid covers of abelian varieties"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1804.04455","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":"sha256:7df08b405cbf3990f0e09b7d1319d833601d4c2e96f7136dd1524f1b1f3aff95","target":"record","created_at":"2026-07-05T06:11:40Z","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":"5824864c8c9c55fbcf15e3588e60e3e8256b587b315975895badd0b6a5ab7910","cross_cats_sorted":["math.NT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2018-04-12T12:07:55Z","title_canon_sha256":"1ec580723c09232ec6c8ba8711020b1dcfd214ee1172a56ad927bac1ded72304"},"schema_version":"1.0","source":{"id":"1804.04455","kind":"arxiv","version":2}},"canonical_sha256":"06f13807e01469bfc57e57396e40582ff080ae7fd8177d8b49b8fa82d2047a76","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"06f13807e01469bfc57e57396e40582ff080ae7fd8177d8b49b8fa82d2047a76","first_computed_at":"2026-07-05T06:11:40.699191Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T06:11:40.699191Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"KYaRJKHOt8DZdZi1u5B5hlBquGG4SZGd3RCIlu1Fwo0qfGQ3RRi5zZfTyYPAwyWISB3oMwE7Noui4HJDh18yDQ==","signature_status":"signed_v1","signed_at":"2026-07-05T06:11:40.699697Z","signed_message":"canonical_sha256_bytes"},"source_id":"1804.04455","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7df08b405cbf3990f0e09b7d1319d833601d4c2e96f7136dd1524f1b1f3aff95","sha256:ae7b246a7c2ec3ae387918459175095eeebdad0eaeaa364939aafa730796db22"],"state_sha256":"675fad9d8dbf088e332453433e91ab7bf53609428f5f4217b4ddbdd10974925f"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"d8bxgBM82p1fzICNRc4wk3HM7pBoDBCApVT0Wlg5sIlIdscmRzJEmlSD4CZw8KfvyIr6eObdgRJL/0FcphZXAA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-07T12:29:47.869177Z","bundle_sha256":"ce140eff0c454e4b6faa82827970c1de153b56c6c8eb048894c587a496b83b59"}}