{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:IOKW7Y56OYQ5KRVCRTPZ6EZZLO","short_pith_number":"pith:IOKW7Y56","canonical_record":{"source":{"id":"1107.1981","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2011-07-11T09:54:17Z","cross_cats_sorted":["math.NT"],"title_canon_sha256":"421337c30a1004fb8bf8cfd5230f7020746d19bffab6bc8e57b8a1f52f85c628","abstract_canon_sha256":"8445c72dca54c7296719a23eeaf3fc093f3990646fc23c3ff24f9f79843f2664"},"schema_version":"1.0"},"canonical_sha256":"43956fe3be7621d546a28cdf9f13395ba120a54bdbc399d874fdb294afc8f9ab","source":{"kind":"arxiv","id":"1107.1981","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1107.1981","created_at":"2026-05-18T03:10:58Z"},{"alias_kind":"arxiv_version","alias_value":"1107.1981v1","created_at":"2026-05-18T03:10:58Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1107.1981","created_at":"2026-05-18T03:10:58Z"},{"alias_kind":"pith_short_12","alias_value":"IOKW7Y56OYQ5","created_at":"2026-05-18T12:26:32Z"},{"alias_kind":"pith_short_16","alias_value":"IOKW7Y56OYQ5KRVC","created_at":"2026-05-18T12:26:32Z"},{"alias_kind":"pith_short_8","alias_value":"IOKW7Y56","created_at":"2026-05-18T12:26:32Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:IOKW7Y56OYQ5KRVCRTPZ6EZZLO","target":"record","payload":{"canonical_record":{"source":{"id":"1107.1981","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2011-07-11T09:54:17Z","cross_cats_sorted":["math.NT"],"title_canon_sha256":"421337c30a1004fb8bf8cfd5230f7020746d19bffab6bc8e57b8a1f52f85c628","abstract_canon_sha256":"8445c72dca54c7296719a23eeaf3fc093f3990646fc23c3ff24f9f79843f2664"},"schema_version":"1.0"},"canonical_sha256":"43956fe3be7621d546a28cdf9f13395ba120a54bdbc399d874fdb294afc8f9ab","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:10:58.624785Z","signature_b64":"wv+F13hYys4TIvWvRscm9bWpR/jj+ICQZxDTpwQyyd5X9AdTwsorpwuz7yJg9ezaP4Zi54NLvV/SU0RErnY1Dw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"43956fe3be7621d546a28cdf9f13395ba120a54bdbc399d874fdb294afc8f9ab","last_reissued_at":"2026-05-18T03:10:58.623931Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:10:58.623931Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1107.1981","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":"2026-05-18T03:10:58Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"wu3afNFNshm0lpCF7oLjZrq0SCRkjG04+yz4k5jFN/6goshtyhn6hwrflNQ5QFvtqNy86iQR+8fCwXnaCW80CA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T00:40:59.330072Z"},"content_sha256":"d2f1a395f28afe77c3f910b28221eb57fda49e41ecfc4e99efae5885e8e73903","schema_version":"1.0","event_id":"sha256:d2f1a395f28afe77c3f910b28221eb57fda49e41ecfc4e99efae5885e8e73903"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:IOKW7Y56OYQ5KRVCRTPZ6EZZLO","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Intertwining of simple characters in GL(n)","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.NT"],"primary_cat":"math.RT","authors_text":"Colin J. Bushnell, Guy Henniart","submitted_at":"2011-07-11T09:54:17Z","abstract_excerpt":"Let $F$ be a non-Archimedean local field and let $G$ be the general linear group $G = \\text{\\rm GL}_n(F)$. Let $\\theta_1$, $\\theta_2$ be simple characters in $G$. We show that $\\theta_1$ intertwines with $\\theta_2$ if and only if $\\theta_1$ is endo-equivalent to $\\theta_2$. We also show that any simple character in $G$ is a $G$-type."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1107.1981","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":"2026-05-18T03:10:58Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"qUh9iP30pRrTEk/6ypPgqdo+Z6H1KSwlLG/UMI+vgz49/vqOeV8m60Fw7HbO6rGxaW0PzzXCBFkT6Pi39hJGAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T00:40:59.330422Z"},"content_sha256":"3b286d16c5ba9cfa61e70d11e5de3dd1b9d0be59c004193238826a7cd8c4ef37","schema_version":"1.0","event_id":"sha256:3b286d16c5ba9cfa61e70d11e5de3dd1b9d0be59c004193238826a7cd8c4ef37"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/IOKW7Y56OYQ5KRVCRTPZ6EZZLO/bundle.json","state_url":"https://pith.science/pith/IOKW7Y56OYQ5KRVCRTPZ6EZZLO/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/IOKW7Y56OYQ5KRVCRTPZ6EZZLO/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":"2026-06-02T00:40:59Z","links":{"resolver":"https://pith.science/pith/IOKW7Y56OYQ5KRVCRTPZ6EZZLO","bundle":"https://pith.science/pith/IOKW7Y56OYQ5KRVCRTPZ6EZZLO/bundle.json","state":"https://pith.science/pith/IOKW7Y56OYQ5KRVCRTPZ6EZZLO/state.json","well_known_bundle":"https://pith.science/.well-known/pith/IOKW7Y56OYQ5KRVCRTPZ6EZZLO/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:IOKW7Y56OYQ5KRVCRTPZ6EZZLO","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":"8445c72dca54c7296719a23eeaf3fc093f3990646fc23c3ff24f9f79843f2664","cross_cats_sorted":["math.NT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2011-07-11T09:54:17Z","title_canon_sha256":"421337c30a1004fb8bf8cfd5230f7020746d19bffab6bc8e57b8a1f52f85c628"},"schema_version":"1.0","source":{"id":"1107.1981","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1107.1981","created_at":"2026-05-18T03:10:58Z"},{"alias_kind":"arxiv_version","alias_value":"1107.1981v1","created_at":"2026-05-18T03:10:58Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1107.1981","created_at":"2026-05-18T03:10:58Z"},{"alias_kind":"pith_short_12","alias_value":"IOKW7Y56OYQ5","created_at":"2026-05-18T12:26:32Z"},{"alias_kind":"pith_short_16","alias_value":"IOKW7Y56OYQ5KRVC","created_at":"2026-05-18T12:26:32Z"},{"alias_kind":"pith_short_8","alias_value":"IOKW7Y56","created_at":"2026-05-18T12:26:32Z"}],"graph_snapshots":[{"event_id":"sha256:3b286d16c5ba9cfa61e70d11e5de3dd1b9d0be59c004193238826a7cd8c4ef37","target":"graph","created_at":"2026-05-18T03:10:58Z","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":"Let $F$ be a non-Archimedean local field and let $G$ be the general linear group $G = \\text{\\rm GL}_n(F)$. Let $\\theta_1$, $\\theta_2$ be simple characters in $G$. We show that $\\theta_1$ intertwines with $\\theta_2$ if and only if $\\theta_1$ is endo-equivalent to $\\theta_2$. We also show that any simple character in $G$ is a $G$-type.","authors_text":"Colin J. Bushnell, Guy Henniart","cross_cats":["math.NT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2011-07-11T09:54:17Z","title":"Intertwining of simple characters in GL(n)"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1107.1981","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:d2f1a395f28afe77c3f910b28221eb57fda49e41ecfc4e99efae5885e8e73903","target":"record","created_at":"2026-05-18T03:10:58Z","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":"8445c72dca54c7296719a23eeaf3fc093f3990646fc23c3ff24f9f79843f2664","cross_cats_sorted":["math.NT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2011-07-11T09:54:17Z","title_canon_sha256":"421337c30a1004fb8bf8cfd5230f7020746d19bffab6bc8e57b8a1f52f85c628"},"schema_version":"1.0","source":{"id":"1107.1981","kind":"arxiv","version":1}},"canonical_sha256":"43956fe3be7621d546a28cdf9f13395ba120a54bdbc399d874fdb294afc8f9ab","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"43956fe3be7621d546a28cdf9f13395ba120a54bdbc399d874fdb294afc8f9ab","first_computed_at":"2026-05-18T03:10:58.623931Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:10:58.623931Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"wv+F13hYys4TIvWvRscm9bWpR/jj+ICQZxDTpwQyyd5X9AdTwsorpwuz7yJg9ezaP4Zi54NLvV/SU0RErnY1Dw==","signature_status":"signed_v1","signed_at":"2026-05-18T03:10:58.624785Z","signed_message":"canonical_sha256_bytes"},"source_id":"1107.1981","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d2f1a395f28afe77c3f910b28221eb57fda49e41ecfc4e99efae5885e8e73903","sha256:3b286d16c5ba9cfa61e70d11e5de3dd1b9d0be59c004193238826a7cd8c4ef37"],"state_sha256":"8ba35cf052357e17e2080cf66085cd89bf495b23b633e7292418c1e33ba03d1c"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"88Rd/qMN+xHM+gpLj3T7Bpnfn1hU4bMpAMACkWq/rn0GelCik4skHDtEckOXd462v3H2FMJdORWJODj1Z0jnAw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-02T00:40:59.332268Z","bundle_sha256":"85a8bc593153572a2af631c1aec5ab63f811982be99ba75563701af512773212"}}