{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:PVHTMP4G5IXWJRTSHGF456IUUQ","short_pith_number":"pith:PVHTMP4G","canonical_record":{"source":{"id":"1104.4573","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2011-04-23T16:54:06Z","cross_cats_sorted":["math.RT"],"title_canon_sha256":"d18950944d4d9ed28bd0fbff34bd192dc2d2b4741284e7bd18c9467db674b2e6","abstract_canon_sha256":"26f65086c9819744e25ebc7549b8305d6303cb649637cb184c21074af4f6b141"},"schema_version":"1.0"},"canonical_sha256":"7d4f363f86ea2f64c672398bcef914a4050741764cbe40abb40f0c53ff749358","source":{"kind":"arxiv","id":"1104.4573","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1104.4573","created_at":"2026-05-17T23:45:57Z"},{"alias_kind":"arxiv_version","alias_value":"1104.4573v2","created_at":"2026-05-17T23:45:57Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1104.4573","created_at":"2026-05-17T23:45:57Z"},{"alias_kind":"pith_short_12","alias_value":"PVHTMP4G5IXW","created_at":"2026-05-18T12:26:39Z"},{"alias_kind":"pith_short_16","alias_value":"PVHTMP4G5IXWJRTS","created_at":"2026-05-18T12:26:39Z"},{"alias_kind":"pith_short_8","alias_value":"PVHTMP4G","created_at":"2026-05-18T12:26:39Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:PVHTMP4G5IXWJRTSHGF456IUUQ","target":"record","payload":{"canonical_record":{"source":{"id":"1104.4573","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2011-04-23T16:54:06Z","cross_cats_sorted":["math.RT"],"title_canon_sha256":"d18950944d4d9ed28bd0fbff34bd192dc2d2b4741284e7bd18c9467db674b2e6","abstract_canon_sha256":"26f65086c9819744e25ebc7549b8305d6303cb649637cb184c21074af4f6b141"},"schema_version":"1.0"},"canonical_sha256":"7d4f363f86ea2f64c672398bcef914a4050741764cbe40abb40f0c53ff749358","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:45:57.124983Z","signature_b64":"Gf/J84+Na6GycIAeDnQRQ2Nd+j1Ak/wJttWr/UtarvkJ7ICyI+/SHG+nfyc+3esjHSFqtHIMP9bTXFH7s/K5Dw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7d4f363f86ea2f64c672398bcef914a4050741764cbe40abb40f0c53ff749358","last_reissued_at":"2026-05-17T23:45:57.124584Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:45:57.124584Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1104.4573","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":"2026-05-17T23:45:57Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"i8tgeY01Eeq10dls9eCMEdoRXvUAOIjgcCHkIgTJP6DFCpDHWVbeMngOrhjMK5samuLFs5PZ76H4Bubp/EzODA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T00:27:44.815525Z"},"content_sha256":"6f7b244b91e6599c7d7725f0e1445fc06b6c80e2aa07df27de4949e92ee3b7b2","schema_version":"1.0","event_id":"sha256:6f7b244b91e6599c7d7725f0e1445fc06b6c80e2aa07df27de4949e92ee3b7b2"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:PVHTMP4G5IXWJRTSHGF456IUUQ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Gauss-Manin stratification and stratified fundamental group schemes","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.RT"],"primary_cat":"math.AG","authors_text":"Ph\\`ung H\\^o Hai","submitted_at":"2011-04-23T16:54:06Z","abstract_excerpt":"We defined the Gau\\ss-Manin stratification of a stratified bundle with respect to a smooth morphism and use it to study the homotopy sequence of stratified fundamental group schemes."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1104.4573","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":"2026-05-17T23:45:57Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"l8s3O7gFKCaefA1SJnskhqjVn6735cLUKl6IcJYsUfrNrAJE0ueefZt3EAx4kQjzs97SanHaH3HULXVtSjsmCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T00:27:44.815871Z"},"content_sha256":"f5a989df5de8cbab084893e69bc02bca10988c63ed8c3d80433e3d5053f38fba","schema_version":"1.0","event_id":"sha256:f5a989df5de8cbab084893e69bc02bca10988c63ed8c3d80433e3d5053f38fba"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/PVHTMP4G5IXWJRTSHGF456IUUQ/bundle.json","state_url":"https://pith.science/pith/PVHTMP4G5IXWJRTSHGF456IUUQ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/PVHTMP4G5IXWJRTSHGF456IUUQ/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":"2026-05-28T00:27:44Z","links":{"resolver":"https://pith.science/pith/PVHTMP4G5IXWJRTSHGF456IUUQ","bundle":"https://pith.science/pith/PVHTMP4G5IXWJRTSHGF456IUUQ/bundle.json","state":"https://pith.science/pith/PVHTMP4G5IXWJRTSHGF456IUUQ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/PVHTMP4G5IXWJRTSHGF456IUUQ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:PVHTMP4G5IXWJRTSHGF456IUUQ","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":"26f65086c9819744e25ebc7549b8305d6303cb649637cb184c21074af4f6b141","cross_cats_sorted":["math.RT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2011-04-23T16:54:06Z","title_canon_sha256":"d18950944d4d9ed28bd0fbff34bd192dc2d2b4741284e7bd18c9467db674b2e6"},"schema_version":"1.0","source":{"id":"1104.4573","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1104.4573","created_at":"2026-05-17T23:45:57Z"},{"alias_kind":"arxiv_version","alias_value":"1104.4573v2","created_at":"2026-05-17T23:45:57Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1104.4573","created_at":"2026-05-17T23:45:57Z"},{"alias_kind":"pith_short_12","alias_value":"PVHTMP4G5IXW","created_at":"2026-05-18T12:26:39Z"},{"alias_kind":"pith_short_16","alias_value":"PVHTMP4G5IXWJRTS","created_at":"2026-05-18T12:26:39Z"},{"alias_kind":"pith_short_8","alias_value":"PVHTMP4G","created_at":"2026-05-18T12:26:39Z"}],"graph_snapshots":[{"event_id":"sha256:f5a989df5de8cbab084893e69bc02bca10988c63ed8c3d80433e3d5053f38fba","target":"graph","created_at":"2026-05-17T23:45:57Z","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 defined the Gau\\ss-Manin stratification of a stratified bundle with respect to a smooth morphism and use it to study the homotopy sequence of stratified fundamental group schemes.","authors_text":"Ph\\`ung H\\^o Hai","cross_cats":["math.RT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2011-04-23T16:54:06Z","title":"Gauss-Manin stratification and stratified fundamental group schemes"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1104.4573","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":"sha256:6f7b244b91e6599c7d7725f0e1445fc06b6c80e2aa07df27de4949e92ee3b7b2","target":"record","created_at":"2026-05-17T23:45:57Z","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":"26f65086c9819744e25ebc7549b8305d6303cb649637cb184c21074af4f6b141","cross_cats_sorted":["math.RT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2011-04-23T16:54:06Z","title_canon_sha256":"d18950944d4d9ed28bd0fbff34bd192dc2d2b4741284e7bd18c9467db674b2e6"},"schema_version":"1.0","source":{"id":"1104.4573","kind":"arxiv","version":2}},"canonical_sha256":"7d4f363f86ea2f64c672398bcef914a4050741764cbe40abb40f0c53ff749358","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7d4f363f86ea2f64c672398bcef914a4050741764cbe40abb40f0c53ff749358","first_computed_at":"2026-05-17T23:45:57.124584Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:45:57.124584Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Gf/J84+Na6GycIAeDnQRQ2Nd+j1Ak/wJttWr/UtarvkJ7ICyI+/SHG+nfyc+3esjHSFqtHIMP9bTXFH7s/K5Dw==","signature_status":"signed_v1","signed_at":"2026-05-17T23:45:57.124983Z","signed_message":"canonical_sha256_bytes"},"source_id":"1104.4573","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6f7b244b91e6599c7d7725f0e1445fc06b6c80e2aa07df27de4949e92ee3b7b2","sha256:f5a989df5de8cbab084893e69bc02bca10988c63ed8c3d80433e3d5053f38fba"],"state_sha256":"cc4c73ab78f55c2fb67fc13424352de356f0248b06a5aee8f9871189733b9d4c"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"UshIUeVwfpaYmICuOUN7O6b3YlLtqzCxuFnYFb/vPCkJ98rWl0/j5bfLrz9SkRtxC+sTnfXoUvLZHdnw+nmKCw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-28T00:27:44.817760Z","bundle_sha256":"245710a8f41f96aaee5572979f60c32446ec038698f59738380e50ee4061afed"}}