{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:34RA7XQJZI74S2ZWC4BDX7EG2G","short_pith_number":"pith:34RA7XQJ","canonical_record":{"source":{"id":"1503.07332","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2015-03-25T11:07:09Z","cross_cats_sorted":[],"title_canon_sha256":"16d21593eb0f348485dc9227e85e3774d359b1c3f861293a8d7be86f6302653e","abstract_canon_sha256":"582a7e4feaae0c105c3b95c60d88ac152e378e4d4e90ba8df813c941f6c69689"},"schema_version":"1.0"},"canonical_sha256":"df220fde09ca3fc96b3617023bfc86d1b6ed549d976c763002575a1916219c77","source":{"kind":"arxiv","id":"1503.07332","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1503.07332","created_at":"2026-05-18T02:20:21Z"},{"alias_kind":"arxiv_version","alias_value":"1503.07332v1","created_at":"2026-05-18T02:20:21Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1503.07332","created_at":"2026-05-18T02:20:21Z"},{"alias_kind":"pith_short_12","alias_value":"34RA7XQJZI74","created_at":"2026-05-18T12:29:02Z"},{"alias_kind":"pith_short_16","alias_value":"34RA7XQJZI74S2ZW","created_at":"2026-05-18T12:29:02Z"},{"alias_kind":"pith_short_8","alias_value":"34RA7XQJ","created_at":"2026-05-18T12:29:02Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:34RA7XQJZI74S2ZWC4BDX7EG2G","target":"record","payload":{"canonical_record":{"source":{"id":"1503.07332","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2015-03-25T11:07:09Z","cross_cats_sorted":[],"title_canon_sha256":"16d21593eb0f348485dc9227e85e3774d359b1c3f861293a8d7be86f6302653e","abstract_canon_sha256":"582a7e4feaae0c105c3b95c60d88ac152e378e4d4e90ba8df813c941f6c69689"},"schema_version":"1.0"},"canonical_sha256":"df220fde09ca3fc96b3617023bfc86d1b6ed549d976c763002575a1916219c77","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:20:21.393290Z","signature_b64":"WtuhC/8xNr8YovCwG5ZcG877JP+QLutWEiIgU1N+TlXDqt/sJVmTT8n0WkOUxlVUzvNTzw7iebuMjaWG2z5nDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"df220fde09ca3fc96b3617023bfc86d1b6ed549d976c763002575a1916219c77","last_reissued_at":"2026-05-18T02:20:21.390770Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:20:21.390770Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1503.07332","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":"2026-05-18T02:20:21Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"SFt0GHwI5RCbb+xU6B7XfoqtBihagypaK61d7exIPioXau+2lpkHQ2rMK63rBAuAY1sFqbcfNTQK/7V2OIh7Bw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T00:21:36.177850Z"},"content_sha256":"5b18d9eb677fe70c9c10b7229820620146ff3941ffa107a0838e16a6a18c8d84","schema_version":"1.0","event_id":"sha256:5b18d9eb677fe70c9c10b7229820620146ff3941ffa107a0838e16a6a18c8d84"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:34RA7XQJZI74S2ZWC4BDX7EG2G","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Bounded eqidistribution of special subvarieties in mixed Shimura varieties","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NT","authors_text":"Ke Chen","submitted_at":"2015-03-25T11:07:09Z","abstract_excerpt":"In this paper we prove the equidistribution of bounded sequences of special subvarieties in a general mixed Shimura varieties, a notion adapted from the pure case treated by Clozel, Ullmo, and Yafaev in the study of the Andre-Oort conjecture. We also discuss the relation of bounded sequences with bounded Galois orbits of special subvarieties."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1503.07332","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":"2026-05-18T02:20:21Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"n8Apmm4jKG541jqQCdiAvTywgLlS2Hya0sLNIETJDxcZtewdJf7B/++QmiF7l/4ax9LDfa1UEE0Or1j+EkVbBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T00:21:36.178501Z"},"content_sha256":"fe47d8a58cd8f5dbb13e51f5264e27a90396bff1ecffe66a9f7c2632deb00f87","schema_version":"1.0","event_id":"sha256:fe47d8a58cd8f5dbb13e51f5264e27a90396bff1ecffe66a9f7c2632deb00f87"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/34RA7XQJZI74S2ZWC4BDX7EG2G/bundle.json","state_url":"https://pith.science/pith/34RA7XQJZI74S2ZWC4BDX7EG2G/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/34RA7XQJZI74S2ZWC4BDX7EG2G/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":"2026-05-27T00:21:36Z","links":{"resolver":"https://pith.science/pith/34RA7XQJZI74S2ZWC4BDX7EG2G","bundle":"https://pith.science/pith/34RA7XQJZI74S2ZWC4BDX7EG2G/bundle.json","state":"https://pith.science/pith/34RA7XQJZI74S2ZWC4BDX7EG2G/state.json","well_known_bundle":"https://pith.science/.well-known/pith/34RA7XQJZI74S2ZWC4BDX7EG2G/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:34RA7XQJZI74S2ZWC4BDX7EG2G","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":"582a7e4feaae0c105c3b95c60d88ac152e378e4d4e90ba8df813c941f6c69689","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2015-03-25T11:07:09Z","title_canon_sha256":"16d21593eb0f348485dc9227e85e3774d359b1c3f861293a8d7be86f6302653e"},"schema_version":"1.0","source":{"id":"1503.07332","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1503.07332","created_at":"2026-05-18T02:20:21Z"},{"alias_kind":"arxiv_version","alias_value":"1503.07332v1","created_at":"2026-05-18T02:20:21Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1503.07332","created_at":"2026-05-18T02:20:21Z"},{"alias_kind":"pith_short_12","alias_value":"34RA7XQJZI74","created_at":"2026-05-18T12:29:02Z"},{"alias_kind":"pith_short_16","alias_value":"34RA7XQJZI74S2ZW","created_at":"2026-05-18T12:29:02Z"},{"alias_kind":"pith_short_8","alias_value":"34RA7XQJ","created_at":"2026-05-18T12:29:02Z"}],"graph_snapshots":[{"event_id":"sha256:fe47d8a58cd8f5dbb13e51f5264e27a90396bff1ecffe66a9f7c2632deb00f87","target":"graph","created_at":"2026-05-18T02:20:21Z","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":"In this paper we prove the equidistribution of bounded sequences of special subvarieties in a general mixed Shimura varieties, a notion adapted from the pure case treated by Clozel, Ullmo, and Yafaev in the study of the Andre-Oort conjecture. We also discuss the relation of bounded sequences with bounded Galois orbits of special subvarieties.","authors_text":"Ke Chen","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2015-03-25T11:07:09Z","title":"Bounded eqidistribution of special subvarieties in mixed Shimura varieties"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1503.07332","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":"sha256:5b18d9eb677fe70c9c10b7229820620146ff3941ffa107a0838e16a6a18c8d84","target":"record","created_at":"2026-05-18T02:20:21Z","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":"582a7e4feaae0c105c3b95c60d88ac152e378e4d4e90ba8df813c941f6c69689","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2015-03-25T11:07:09Z","title_canon_sha256":"16d21593eb0f348485dc9227e85e3774d359b1c3f861293a8d7be86f6302653e"},"schema_version":"1.0","source":{"id":"1503.07332","kind":"arxiv","version":1}},"canonical_sha256":"df220fde09ca3fc96b3617023bfc86d1b6ed549d976c763002575a1916219c77","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"df220fde09ca3fc96b3617023bfc86d1b6ed549d976c763002575a1916219c77","first_computed_at":"2026-05-18T02:20:21.390770Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:20:21.390770Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"WtuhC/8xNr8YovCwG5ZcG877JP+QLutWEiIgU1N+TlXDqt/sJVmTT8n0WkOUxlVUzvNTzw7iebuMjaWG2z5nDA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:20:21.393290Z","signed_message":"canonical_sha256_bytes"},"source_id":"1503.07332","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5b18d9eb677fe70c9c10b7229820620146ff3941ffa107a0838e16a6a18c8d84","sha256:fe47d8a58cd8f5dbb13e51f5264e27a90396bff1ecffe66a9f7c2632deb00f87"],"state_sha256":"6492dedf78141c156c6ea6c5cd32368ce5858829cfd93de9e3dc649f2e9e4f0e"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"GsdN2+8PNPFUv5KN2WoJmcJS6M79grr81LH/sD5dWbkECmrLroEyEpWW7STdDb5RFgTFqvhksO7AL803OJ+8BA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-27T00:21:36.182242Z","bundle_sha256":"be070c5f9f79d0f2cbf8a211de39dd61c72bd1ccd2bb559d0cd3170efce7d5ae"}}