{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:1996:JCZVVR46UF6JFPDY43HQZGDBXM","short_pith_number":"pith:JCZVVR46","canonical_record":{"source":{"id":"math/9607222","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"math.RT","submitted_at":"1996-07-01T00:00:00Z","cross_cats_sorted":[],"title_canon_sha256":"4d4f3e61b4c9b3aef3a0f564df8083cc1308b85ab947ee0aff69a7144ff069e5","abstract_canon_sha256":"e56200b519ee782a3b168a50e98e255b199158362d849777424639cecd33233e"},"schema_version":"1.0"},"canonical_sha256":"48b35ac79ea17c92bc78e6cf0c9861bb1585501289847f53de3c241f997b8bec","source":{"kind":"arxiv","id":"math/9607222","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"math/9607222","created_at":"2026-05-18T01:05:47Z"},{"alias_kind":"arxiv_version","alias_value":"math/9607222v1","created_at":"2026-05-18T01:05:47Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math/9607222","created_at":"2026-05-18T01:05:47Z"},{"alias_kind":"pith_short_12","alias_value":"JCZVVR46UF6J","created_at":"2026-05-18T12:25:47Z"},{"alias_kind":"pith_short_16","alias_value":"JCZVVR46UF6JFPDY","created_at":"2026-05-18T12:25:47Z"},{"alias_kind":"pith_short_8","alias_value":"JCZVVR46","created_at":"2026-05-18T12:25:47Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:1996:JCZVVR46UF6JFPDY43HQZGDBXM","target":"record","payload":{"canonical_record":{"source":{"id":"math/9607222","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"math.RT","submitted_at":"1996-07-01T00:00:00Z","cross_cats_sorted":[],"title_canon_sha256":"4d4f3e61b4c9b3aef3a0f564df8083cc1308b85ab947ee0aff69a7144ff069e5","abstract_canon_sha256":"e56200b519ee782a3b168a50e98e255b199158362d849777424639cecd33233e"},"schema_version":"1.0"},"canonical_sha256":"48b35ac79ea17c92bc78e6cf0c9861bb1585501289847f53de3c241f997b8bec","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:05:47.174129Z","signature_b64":"30tktRWDpHBqwCFLE++Ut8ImxTgfLDWoEz/TUlW9Ju2z0UT1LQlAv70bC1J3hIb/esXdpT5aJg43gL1AwT3NCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"48b35ac79ea17c92bc78e6cf0c9861bb1585501289847f53de3c241f997b8bec","last_reissued_at":"2026-05-18T01:05:47.173522Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:05:47.173522Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"math/9607222","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":"2026-05-18T01:05:47Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"4bzZ2hJCgIKpDYC5pv+UmkbC4ft50/uzrDmH1VqGy9aQKyad21hwfjD/l15ILzcwkb8+1O9zw6ICYH1ZsGdfAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-21T19:06:40.885556Z"},"content_sha256":"bbc8b233255fe94c949fcc1d80a9f2907d841580df950c1db4947ee995488b89","schema_version":"1.0","event_id":"sha256:bbc8b233255fe94c949fcc1d80a9f2907d841580df950c1db4947ee995488b89"},{"event_type":"graph_snapshot","subject_pith_number":"pith:1996:JCZVVR46UF6JFPDY43HQZGDBXM","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Correction to \"Zero-entropy affine maps on homogeneous spaces","license":"","headline":"","cross_cats":[],"primary_cat":"math.RT","authors_text":"Dave Witte","submitted_at":"1996-07-01T00:00:00Z","abstract_excerpt":"Proposition~6.4 of the author's paper {\\origpaper} is incorrect. This invalid proposition was used in the proof of Corollary~6.5, so we provide a new proof of the latter result."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/9607222","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":"2026-05-18T01:05:47Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"4fWPg51wP8EwV105ISprQ7dOAomNmoaW2VD8uAqnyLVACvAi8shvdTIPIsZs7Y3PhmEfmoMkxCzfqzdzXF48Aw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-21T19:06:40.885888Z"},"content_sha256":"5a0715828dbf49ba698b37c2fb4767917b616b22dc0ad38327bc4125b2a31fd4","schema_version":"1.0","event_id":"sha256:5a0715828dbf49ba698b37c2fb4767917b616b22dc0ad38327bc4125b2a31fd4"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/JCZVVR46UF6JFPDY43HQZGDBXM/bundle.json","state_url":"https://pith.science/pith/JCZVVR46UF6JFPDY43HQZGDBXM/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/JCZVVR46UF6JFPDY43HQZGDBXM/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":"2026-06-21T19:06:40Z","links":{"resolver":"https://pith.science/pith/JCZVVR46UF6JFPDY43HQZGDBXM","bundle":"https://pith.science/pith/JCZVVR46UF6JFPDY43HQZGDBXM/bundle.json","state":"https://pith.science/pith/JCZVVR46UF6JFPDY43HQZGDBXM/state.json","well_known_bundle":"https://pith.science/.well-known/pith/JCZVVR46UF6JFPDY43HQZGDBXM/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:1996:JCZVVR46UF6JFPDY43HQZGDBXM","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":"e56200b519ee782a3b168a50e98e255b199158362d849777424639cecd33233e","cross_cats_sorted":[],"license":"","primary_cat":"math.RT","submitted_at":"1996-07-01T00:00:00Z","title_canon_sha256":"4d4f3e61b4c9b3aef3a0f564df8083cc1308b85ab947ee0aff69a7144ff069e5"},"schema_version":"1.0","source":{"id":"math/9607222","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"math/9607222","created_at":"2026-05-18T01:05:47Z"},{"alias_kind":"arxiv_version","alias_value":"math/9607222v1","created_at":"2026-05-18T01:05:47Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math/9607222","created_at":"2026-05-18T01:05:47Z"},{"alias_kind":"pith_short_12","alias_value":"JCZVVR46UF6J","created_at":"2026-05-18T12:25:47Z"},{"alias_kind":"pith_short_16","alias_value":"JCZVVR46UF6JFPDY","created_at":"2026-05-18T12:25:47Z"},{"alias_kind":"pith_short_8","alias_value":"JCZVVR46","created_at":"2026-05-18T12:25:47Z"}],"graph_snapshots":[{"event_id":"sha256:5a0715828dbf49ba698b37c2fb4767917b616b22dc0ad38327bc4125b2a31fd4","target":"graph","created_at":"2026-05-18T01:05:47Z","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":"Proposition~6.4 of the author's paper {\\origpaper} is incorrect. This invalid proposition was used in the proof of Corollary~6.5, so we provide a new proof of the latter result.","authors_text":"Dave Witte","cross_cats":[],"headline":"","license":"","primary_cat":"math.RT","submitted_at":"1996-07-01T00:00:00Z","title":"Correction to \"Zero-entropy affine maps on homogeneous spaces"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/9607222","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:bbc8b233255fe94c949fcc1d80a9f2907d841580df950c1db4947ee995488b89","target":"record","created_at":"2026-05-18T01:05:47Z","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":"e56200b519ee782a3b168a50e98e255b199158362d849777424639cecd33233e","cross_cats_sorted":[],"license":"","primary_cat":"math.RT","submitted_at":"1996-07-01T00:00:00Z","title_canon_sha256":"4d4f3e61b4c9b3aef3a0f564df8083cc1308b85ab947ee0aff69a7144ff069e5"},"schema_version":"1.0","source":{"id":"math/9607222","kind":"arxiv","version":1}},"canonical_sha256":"48b35ac79ea17c92bc78e6cf0c9861bb1585501289847f53de3c241f997b8bec","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"48b35ac79ea17c92bc78e6cf0c9861bb1585501289847f53de3c241f997b8bec","first_computed_at":"2026-05-18T01:05:47.173522Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:05:47.173522Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"30tktRWDpHBqwCFLE++Ut8ImxTgfLDWoEz/TUlW9Ju2z0UT1LQlAv70bC1J3hIb/esXdpT5aJg43gL1AwT3NCg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:05:47.174129Z","signed_message":"canonical_sha256_bytes"},"source_id":"math/9607222","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:bbc8b233255fe94c949fcc1d80a9f2907d841580df950c1db4947ee995488b89","sha256:5a0715828dbf49ba698b37c2fb4767917b616b22dc0ad38327bc4125b2a31fd4"],"state_sha256":"7920384e7dd1578b82ea27c78b88e70faf18b3502d708eee4d87b18d236dd8ca"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"vd5BvXaY0//6HdHOU3gCuOaa+xFdk2c3pYHyK3Kwegjzj3QDl87dJ4gF4ZAZjvZHFgFfNAKQbtRWl/p2xQ68Cg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-21T19:06:40.887802Z","bundle_sha256":"b68df87bd91529124edbdb24918acd2c5241cc99139e1975d0cb9289717d0bdc"}}