{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:G7DVCM67TIDN5K5HGD7SUVC5D6","short_pith_number":"pith:G7DVCM67","canonical_record":{"source":{"id":"1703.04470","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2017-03-13T16:27:10Z","cross_cats_sorted":["math.NT"],"title_canon_sha256":"6c8a8cc36c6faff4f6063ddb3cdf8c13c10f74fb17a89f675261c496c3de8f9f","abstract_canon_sha256":"5b4daae7f47b2d6f2c3b30956cfcd71204f09443a1dc1e0201547e00bf8b56c9"},"schema_version":"1.0"},"canonical_sha256":"37c75133df9a06deaba730ff2a545d1fb79e28e3f3cda83aae781462a241952d","source":{"kind":"arxiv","id":"1703.04470","version":4},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1703.04470","created_at":"2026-05-18T00:16:19Z"},{"alias_kind":"arxiv_version","alias_value":"1703.04470v4","created_at":"2026-05-18T00:16:19Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1703.04470","created_at":"2026-05-18T00:16:19Z"},{"alias_kind":"pith_short_12","alias_value":"G7DVCM67TIDN","created_at":"2026-05-18T12:31:15Z"},{"alias_kind":"pith_short_16","alias_value":"G7DVCM67TIDN5K5H","created_at":"2026-05-18T12:31:15Z"},{"alias_kind":"pith_short_8","alias_value":"G7DVCM67","created_at":"2026-05-18T12:31:15Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:G7DVCM67TIDN5K5HGD7SUVC5D6","target":"record","payload":{"canonical_record":{"source":{"id":"1703.04470","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2017-03-13T16:27:10Z","cross_cats_sorted":["math.NT"],"title_canon_sha256":"6c8a8cc36c6faff4f6063ddb3cdf8c13c10f74fb17a89f675261c496c3de8f9f","abstract_canon_sha256":"5b4daae7f47b2d6f2c3b30956cfcd71204f09443a1dc1e0201547e00bf8b56c9"},"schema_version":"1.0"},"canonical_sha256":"37c75133df9a06deaba730ff2a545d1fb79e28e3f3cda83aae781462a241952d","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:16:19.556642Z","signature_b64":"D3PBFmw9iiAyIBzRU7MYdRDLq5lqagDgofmhzSj7VODgC5nDkbLjXS92Zx7PKdFOhSHiSY+kArZzOQgGaHgeDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"37c75133df9a06deaba730ff2a545d1fb79e28e3f3cda83aae781462a241952d","last_reissued_at":"2026-05-18T00:16:19.556097Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:16:19.556097Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1703.04470","source_version":4,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:16:19Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"vLCLwlEQFoqfyZs9jQDyyrvRuk9qy0E0EFej/QKnceTiy+Hc5SJDBYlebMOhlhinUs1kNaT9Z7wU+OGJZ9vHCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-09T21:03:18.824309Z"},"content_sha256":"947513bd656c9d8d2cddded1b4e6800360b8a1ed4cab06b6fdde55f39c9e7a9a","schema_version":"1.0","event_id":"sha256:947513bd656c9d8d2cddded1b4e6800360b8a1ed4cab06b6fdde55f39c9e7a9a"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:G7DVCM67TIDN5K5HGD7SUVC5D6","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On central leaves of Hodge-type Shimura varieties with parahoric level structure","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.NT"],"primary_cat":"math.AG","authors_text":"Wansu Kim","submitted_at":"2017-03-13T16:27:10Z","abstract_excerpt":"Kisin and Pappas constructed integral models of Hodge-type Shimura varieties with parahoric level structure at $p>2$, such that the formal neighbourhood of a mod~$p$ point can be interpreted as a deformation space of $p$-divisible group with some Tate cycles (generalising Faltings' construction). In this paper, we study the central leaf and the closed Newton stratum in the formal neighbourhoods of mod~$p$ points of Kisin-Pappas integral models with parahoric level structure; namely, we obtain the dimension of central leaves and the almost product structure of Newton strata. In the case of hype"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1703.04470","kind":"arxiv","version":4},"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":"2026-05-18T00:16:19Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"9NjtlpQi5wtKacbbN/OOagKtO9de8c3EZLzV02i+VyNpitepCvi8+/CTH0gI6va62COpB/bg1ClWuKDBf4GLBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-09T21:03:18.825096Z"},"content_sha256":"30159ee83b3e2eacb3e14c9df6984b27ce89542dea1cee2c6117c05769b849a9","schema_version":"1.0","event_id":"sha256:30159ee83b3e2eacb3e14c9df6984b27ce89542dea1cee2c6117c05769b849a9"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/G7DVCM67TIDN5K5HGD7SUVC5D6/bundle.json","state_url":"https://pith.science/pith/G7DVCM67TIDN5K5HGD7SUVC5D6/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/G7DVCM67TIDN5K5HGD7SUVC5D6/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":"2026-06-09T21:03:18Z","links":{"resolver":"https://pith.science/pith/G7DVCM67TIDN5K5HGD7SUVC5D6","bundle":"https://pith.science/pith/G7DVCM67TIDN5K5HGD7SUVC5D6/bundle.json","state":"https://pith.science/pith/G7DVCM67TIDN5K5HGD7SUVC5D6/state.json","well_known_bundle":"https://pith.science/.well-known/pith/G7DVCM67TIDN5K5HGD7SUVC5D6/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:G7DVCM67TIDN5K5HGD7SUVC5D6","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":"5b4daae7f47b2d6f2c3b30956cfcd71204f09443a1dc1e0201547e00bf8b56c9","cross_cats_sorted":["math.NT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2017-03-13T16:27:10Z","title_canon_sha256":"6c8a8cc36c6faff4f6063ddb3cdf8c13c10f74fb17a89f675261c496c3de8f9f"},"schema_version":"1.0","source":{"id":"1703.04470","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1703.04470","created_at":"2026-05-18T00:16:19Z"},{"alias_kind":"arxiv_version","alias_value":"1703.04470v4","created_at":"2026-05-18T00:16:19Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1703.04470","created_at":"2026-05-18T00:16:19Z"},{"alias_kind":"pith_short_12","alias_value":"G7DVCM67TIDN","created_at":"2026-05-18T12:31:15Z"},{"alias_kind":"pith_short_16","alias_value":"G7DVCM67TIDN5K5H","created_at":"2026-05-18T12:31:15Z"},{"alias_kind":"pith_short_8","alias_value":"G7DVCM67","created_at":"2026-05-18T12:31:15Z"}],"graph_snapshots":[{"event_id":"sha256:30159ee83b3e2eacb3e14c9df6984b27ce89542dea1cee2c6117c05769b849a9","target":"graph","created_at":"2026-05-18T00:16:19Z","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":"Kisin and Pappas constructed integral models of Hodge-type Shimura varieties with parahoric level structure at $p>2$, such that the formal neighbourhood of a mod~$p$ point can be interpreted as a deformation space of $p$-divisible group with some Tate cycles (generalising Faltings' construction). In this paper, we study the central leaf and the closed Newton stratum in the formal neighbourhoods of mod~$p$ points of Kisin-Pappas integral models with parahoric level structure; namely, we obtain the dimension of central leaves and the almost product structure of Newton strata. In the case of hype","authors_text":"Wansu Kim","cross_cats":["math.NT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2017-03-13T16:27:10Z","title":"On central leaves of Hodge-type Shimura varieties with parahoric level structure"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1703.04470","kind":"arxiv","version":4},"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":"sha256:947513bd656c9d8d2cddded1b4e6800360b8a1ed4cab06b6fdde55f39c9e7a9a","target":"record","created_at":"2026-05-18T00:16:19Z","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":"5b4daae7f47b2d6f2c3b30956cfcd71204f09443a1dc1e0201547e00bf8b56c9","cross_cats_sorted":["math.NT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2017-03-13T16:27:10Z","title_canon_sha256":"6c8a8cc36c6faff4f6063ddb3cdf8c13c10f74fb17a89f675261c496c3de8f9f"},"schema_version":"1.0","source":{"id":"1703.04470","kind":"arxiv","version":4}},"canonical_sha256":"37c75133df9a06deaba730ff2a545d1fb79e28e3f3cda83aae781462a241952d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"37c75133df9a06deaba730ff2a545d1fb79e28e3f3cda83aae781462a241952d","first_computed_at":"2026-05-18T00:16:19.556097Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:16:19.556097Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"D3PBFmw9iiAyIBzRU7MYdRDLq5lqagDgofmhzSj7VODgC5nDkbLjXS92Zx7PKdFOhSHiSY+kArZzOQgGaHgeDw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:16:19.556642Z","signed_message":"canonical_sha256_bytes"},"source_id":"1703.04470","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:947513bd656c9d8d2cddded1b4e6800360b8a1ed4cab06b6fdde55f39c9e7a9a","sha256:30159ee83b3e2eacb3e14c9df6984b27ce89542dea1cee2c6117c05769b849a9"],"state_sha256":"30df4b941c569722346c6aee3f36391e86fff54066195ddb4e00cd348e892a57"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"kws5Da5WLUnwMVgv/9CZ3TDLKWy3YMuqt8y3Yove7SlD4009oKUERT7J5WycPAvB+99Zu+nXAWhr0TFW8DEADw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-09T21:03:18.829196Z","bundle_sha256":"7bbe70ee6be2bdf60a979785a29e8d47ff97b9efb37abe771f1d05a651198051"}}