{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:JBYAMHU6KYXOKIWLJIVNSPWOXD","short_pith_number":"pith:JBYAMHU6","canonical_record":{"source":{"id":"1508.00050","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2015-07-31T22:52:39Z","cross_cats_sorted":[],"title_canon_sha256":"2f8239f1aeb475b0e022e2cc00ea1b21a74724841416e1b7d6514ad26e6ab284","abstract_canon_sha256":"de81f8ca6c66142524672ed5048024a1e8b071deb4ca230edbbcd5bce2065f39"},"schema_version":"1.0"},"canonical_sha256":"4870061e9e562ee522cb4a2ad93eceb8ce340f1c592f3ea5dab2fe960127aa9c","source":{"kind":"arxiv","id":"1508.00050","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1508.00050","created_at":"2026-05-17T23:53:34Z"},{"alias_kind":"arxiv_version","alias_value":"1508.00050v1","created_at":"2026-05-17T23:53:34Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1508.00050","created_at":"2026-05-17T23:53:34Z"},{"alias_kind":"pith_short_12","alias_value":"JBYAMHU6KYXO","created_at":"2026-05-18T12:29:27Z"},{"alias_kind":"pith_short_16","alias_value":"JBYAMHU6KYXOKIWL","created_at":"2026-05-18T12:29:27Z"},{"alias_kind":"pith_short_8","alias_value":"JBYAMHU6","created_at":"2026-05-18T12:29:27Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:JBYAMHU6KYXOKIWLJIVNSPWOXD","target":"record","payload":{"canonical_record":{"source":{"id":"1508.00050","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2015-07-31T22:52:39Z","cross_cats_sorted":[],"title_canon_sha256":"2f8239f1aeb475b0e022e2cc00ea1b21a74724841416e1b7d6514ad26e6ab284","abstract_canon_sha256":"de81f8ca6c66142524672ed5048024a1e8b071deb4ca230edbbcd5bce2065f39"},"schema_version":"1.0"},"canonical_sha256":"4870061e9e562ee522cb4a2ad93eceb8ce340f1c592f3ea5dab2fe960127aa9c","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:53:34.438472Z","signature_b64":"5zFSSlo5pBhie6QI3R+ggdLsh7TGvsaKbj9tVkucKUSUS6UkHKxSb7YlZ2unojq5E0MzFmzUKNWuPqQ6j4yfDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4870061e9e562ee522cb4a2ad93eceb8ce340f1c592f3ea5dab2fe960127aa9c","last_reissued_at":"2026-05-17T23:53:34.437868Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:53:34.437868Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1508.00050","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":"2026-05-17T23:53:34Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"MpVRzIkfhgp9TJb3XA4E+OL4P0dGGITix19rtNzR6pProYF/RA9kRCtFqZr2GcoW6gjsU4VtF9aW628P/bRuBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-09T06:54:22.429395Z"},"content_sha256":"184b228bdccf6a79c8d2e4ccf2dac32a4db4957a7557105036ebdcd2ea452e0d","schema_version":"1.0","event_id":"sha256:184b228bdccf6a79c8d2e4ccf2dac32a4db4957a7557105036ebdcd2ea452e0d"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:JBYAMHU6KYXOKIWLJIVNSPWOXD","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On the characters of the Sylow p-subgroups of untwisted Chevalley groups Y_n(p^a)","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.RT","authors_text":"Frank Himstedt, Kay Magaard, Tung Le","submitted_at":"2015-07-31T22:52:39Z","abstract_excerpt":"Let $UY_n(q)$ be a Sylow p-subgroup of an untwisted Chevalley group $Y_n(q)$ of rank n defined over $\\mathbb{F}_q$ where q is a power of a prime p. We partition the set $Irr(UY_n(q))$ of irreducible characters of $UY_n(q)$ into families indexed by antichains of positive roots of the root system of type $Y_n$. We focus our attention on the families of characters of $UY_n(q)$ which are indexed by antichains of length 1. Then for each positive root $\\alpha$ we establish a one to one correspondence between the minimal degree members of the family indexed by $\\alpha$ and the linear characters of a "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1508.00050","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":"2026-05-17T23:53:34Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"rBlhmVZH7g4QtzCZTUVEYoZ/XiD6UIX23UCxX8YWzfEoW+Pj4Rztjz9Vn1AWXJxJpGXQt/AXFQ8D9kJJq5v8BA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-09T06:54:22.430119Z"},"content_sha256":"043563560d9a1062ffb97e6c3ee047104c6725932ff3fe057bbb9e53a4870863","schema_version":"1.0","event_id":"sha256:043563560d9a1062ffb97e6c3ee047104c6725932ff3fe057bbb9e53a4870863"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/JBYAMHU6KYXOKIWLJIVNSPWOXD/bundle.json","state_url":"https://pith.science/pith/JBYAMHU6KYXOKIWLJIVNSPWOXD/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/JBYAMHU6KYXOKIWLJIVNSPWOXD/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":"2026-06-09T06:54:22Z","links":{"resolver":"https://pith.science/pith/JBYAMHU6KYXOKIWLJIVNSPWOXD","bundle":"https://pith.science/pith/JBYAMHU6KYXOKIWLJIVNSPWOXD/bundle.json","state":"https://pith.science/pith/JBYAMHU6KYXOKIWLJIVNSPWOXD/state.json","well_known_bundle":"https://pith.science/.well-known/pith/JBYAMHU6KYXOKIWLJIVNSPWOXD/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:JBYAMHU6KYXOKIWLJIVNSPWOXD","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":"de81f8ca6c66142524672ed5048024a1e8b071deb4ca230edbbcd5bce2065f39","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2015-07-31T22:52:39Z","title_canon_sha256":"2f8239f1aeb475b0e022e2cc00ea1b21a74724841416e1b7d6514ad26e6ab284"},"schema_version":"1.0","source":{"id":"1508.00050","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1508.00050","created_at":"2026-05-17T23:53:34Z"},{"alias_kind":"arxiv_version","alias_value":"1508.00050v1","created_at":"2026-05-17T23:53:34Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1508.00050","created_at":"2026-05-17T23:53:34Z"},{"alias_kind":"pith_short_12","alias_value":"JBYAMHU6KYXO","created_at":"2026-05-18T12:29:27Z"},{"alias_kind":"pith_short_16","alias_value":"JBYAMHU6KYXOKIWL","created_at":"2026-05-18T12:29:27Z"},{"alias_kind":"pith_short_8","alias_value":"JBYAMHU6","created_at":"2026-05-18T12:29:27Z"}],"graph_snapshots":[{"event_id":"sha256:043563560d9a1062ffb97e6c3ee047104c6725932ff3fe057bbb9e53a4870863","target":"graph","created_at":"2026-05-17T23:53:34Z","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 $UY_n(q)$ be a Sylow p-subgroup of an untwisted Chevalley group $Y_n(q)$ of rank n defined over $\\mathbb{F}_q$ where q is a power of a prime p. We partition the set $Irr(UY_n(q))$ of irreducible characters of $UY_n(q)$ into families indexed by antichains of positive roots of the root system of type $Y_n$. We focus our attention on the families of characters of $UY_n(q)$ which are indexed by antichains of length 1. Then for each positive root $\\alpha$ we establish a one to one correspondence between the minimal degree members of the family indexed by $\\alpha$ and the linear characters of a ","authors_text":"Frank Himstedt, Kay Magaard, Tung Le","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2015-07-31T22:52:39Z","title":"On the characters of the Sylow p-subgroups of untwisted Chevalley groups Y_n(p^a)"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1508.00050","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":"sha256:184b228bdccf6a79c8d2e4ccf2dac32a4db4957a7557105036ebdcd2ea452e0d","target":"record","created_at":"2026-05-17T23:53:34Z","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":"de81f8ca6c66142524672ed5048024a1e8b071deb4ca230edbbcd5bce2065f39","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2015-07-31T22:52:39Z","title_canon_sha256":"2f8239f1aeb475b0e022e2cc00ea1b21a74724841416e1b7d6514ad26e6ab284"},"schema_version":"1.0","source":{"id":"1508.00050","kind":"arxiv","version":1}},"canonical_sha256":"4870061e9e562ee522cb4a2ad93eceb8ce340f1c592f3ea5dab2fe960127aa9c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4870061e9e562ee522cb4a2ad93eceb8ce340f1c592f3ea5dab2fe960127aa9c","first_computed_at":"2026-05-17T23:53:34.437868Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:53:34.437868Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"5zFSSlo5pBhie6QI3R+ggdLsh7TGvsaKbj9tVkucKUSUS6UkHKxSb7YlZ2unojq5E0MzFmzUKNWuPqQ6j4yfDg==","signature_status":"signed_v1","signed_at":"2026-05-17T23:53:34.438472Z","signed_message":"canonical_sha256_bytes"},"source_id":"1508.00050","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:184b228bdccf6a79c8d2e4ccf2dac32a4db4957a7557105036ebdcd2ea452e0d","sha256:043563560d9a1062ffb97e6c3ee047104c6725932ff3fe057bbb9e53a4870863"],"state_sha256":"d0a05b186ba43a5c7d139293ee31db77087d7a977b3580133a5425b868698ca0"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ni2mFfMnLqOWsRMtp1/gCebwTs2njaD5rOYRKtyzZ+jzys1R9jHtXsO1IuOE8n9I85IIfNVgiFSgo/6I2ZstCQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-09T06:54:22.434539Z","bundle_sha256":"06d5c6bfc70f4b8375959c696be0fe2ef412b4af08f37ac367edbe4d73239ac2"}}