{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2025:UOB55MW7BIRZKC6ZMH5B32BN3S","short_pith_number":"pith:UOB55MW7","canonical_record":{"source":{"id":"2506.04773","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2025-06-05T09:02:17Z","cross_cats_sorted":["math.GR"],"title_canon_sha256":"736f0b41cf16d758264604a091b44b827784247f2071f73c42bdd94787760372","abstract_canon_sha256":"75bb3493820411941ec9e0612fa366262fe20a63a180a3b934cc2f4d9845ee1e"},"schema_version":"1.0"},"canonical_sha256":"a383deb2df0a23950bd961fa1de82ddcacfc268e9849e0887ae3300a63472f4d","source":{"kind":"arxiv","id":"2506.04773","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2506.04773","created_at":"2026-07-05T11:16:19Z"},{"alias_kind":"arxiv_version","alias_value":"2506.04773v1","created_at":"2026-07-05T11:16:19Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2506.04773","created_at":"2026-07-05T11:16:19Z"},{"alias_kind":"pith_short_12","alias_value":"UOB55MW7BIRZ","created_at":"2026-07-05T11:16:19Z"},{"alias_kind":"pith_short_16","alias_value":"UOB55MW7BIRZKC6Z","created_at":"2026-07-05T11:16:19Z"},{"alias_kind":"pith_short_8","alias_value":"UOB55MW7","created_at":"2026-07-05T11:16:19Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2025:UOB55MW7BIRZKC6ZMH5B32BN3S","target":"record","payload":{"canonical_record":{"source":{"id":"2506.04773","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2025-06-05T09:02:17Z","cross_cats_sorted":["math.GR"],"title_canon_sha256":"736f0b41cf16d758264604a091b44b827784247f2071f73c42bdd94787760372","abstract_canon_sha256":"75bb3493820411941ec9e0612fa366262fe20a63a180a3b934cc2f4d9845ee1e"},"schema_version":"1.0"},"canonical_sha256":"a383deb2df0a23950bd961fa1de82ddcacfc268e9849e0887ae3300a63472f4d","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T11:16:19.909669Z","signature_b64":"V3J/88wKS9d/JK1DWySq5NOE7/xwTVy0r71YQt9TpwkyWbKx2vEUeRcesn1bOWcS3/ve8PAN7XHBLPW2oivYDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a383deb2df0a23950bd961fa1de82ddcacfc268e9849e0887ae3300a63472f4d","last_reissued_at":"2026-07-05T11:16:19.909167Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T11:16:19.909167Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2506.04773","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":"2026-07-05T11:16:19Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Sk2/QkbmyPX4YMGmSWQcxc649mLmpckFP71q54A7Y1QHhKQk6tNTtg9aSCC07iZ0sp9hx18OAF5zukWmR+JcAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-09T10:19:06.136896Z"},"content_sha256":"4b3990765a91ed796fb8cb5b6d1c66bbb23e222a418685c926cdfb85445e5ae8","schema_version":"1.0","event_id":"sha256:4b3990765a91ed796fb8cb5b6d1c66bbb23e222a418685c926cdfb85445e5ae8"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2025:UOB55MW7BIRZKC6ZMH5B32BN3S","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On the local representation theory of symmetric groups","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.GR"],"primary_cat":"math.RT","authors_text":"Greta Tendi","submitted_at":"2025-06-05T09:02:17Z","abstract_excerpt":"Given a Sylow $p$-subgroup $P$ of a symmetric group, we describe the action of its normalizer on $\\mathrm{Irr}(P)$. To this end, we establish a one-to-one correspondence between the irreducible characters of $P$ and certain equivalence classes of explicitly defined functions, which are also naturally suited to describing the Galois action."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2506.04773","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2506.04773/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-07-05T11:16:19Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"I6f64wDv3f4E3fzUoWrcxDY6m/cTpSF8hNE9Ml8iqhsgq3boN8jI5vEZxoAAqma4xD8LdD0V2pVPL9A9biB8Bg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-09T10:19:06.137404Z"},"content_sha256":"4d4021d91c4aa403794fa57720a4251f40dea3dce85e35397ed12282ad0cd671","schema_version":"1.0","event_id":"sha256:4d4021d91c4aa403794fa57720a4251f40dea3dce85e35397ed12282ad0cd671"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/UOB55MW7BIRZKC6ZMH5B32BN3S/bundle.json","state_url":"https://pith.science/pith/UOB55MW7BIRZKC6ZMH5B32BN3S/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/UOB55MW7BIRZKC6ZMH5B32BN3S/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":"2026-08-09T10:19:06Z","links":{"resolver":"https://pith.science/pith/UOB55MW7BIRZKC6ZMH5B32BN3S","bundle":"https://pith.science/pith/UOB55MW7BIRZKC6ZMH5B32BN3S/bundle.json","state":"https://pith.science/pith/UOB55MW7BIRZKC6ZMH5B32BN3S/state.json","well_known_bundle":"https://pith.science/.well-known/pith/UOB55MW7BIRZKC6ZMH5B32BN3S/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:UOB55MW7BIRZKC6ZMH5B32BN3S","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":"75bb3493820411941ec9e0612fa366262fe20a63a180a3b934cc2f4d9845ee1e","cross_cats_sorted":["math.GR"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2025-06-05T09:02:17Z","title_canon_sha256":"736f0b41cf16d758264604a091b44b827784247f2071f73c42bdd94787760372"},"schema_version":"1.0","source":{"id":"2506.04773","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2506.04773","created_at":"2026-07-05T11:16:19Z"},{"alias_kind":"arxiv_version","alias_value":"2506.04773v1","created_at":"2026-07-05T11:16:19Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2506.04773","created_at":"2026-07-05T11:16:19Z"},{"alias_kind":"pith_short_12","alias_value":"UOB55MW7BIRZ","created_at":"2026-07-05T11:16:19Z"},{"alias_kind":"pith_short_16","alias_value":"UOB55MW7BIRZKC6Z","created_at":"2026-07-05T11:16:19Z"},{"alias_kind":"pith_short_8","alias_value":"UOB55MW7","created_at":"2026-07-05T11:16:19Z"}],"graph_snapshots":[{"event_id":"sha256:4d4021d91c4aa403794fa57720a4251f40dea3dce85e35397ed12282ad0cd671","target":"graph","created_at":"2026-07-05T11:16:19Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2506.04773/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Given a Sylow $p$-subgroup $P$ of a symmetric group, we describe the action of its normalizer on $\\mathrm{Irr}(P)$. To this end, we establish a one-to-one correspondence between the irreducible characters of $P$ and certain equivalence classes of explicitly defined functions, which are also naturally suited to describing the Galois action.","authors_text":"Greta Tendi","cross_cats":["math.GR"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2025-06-05T09:02:17Z","title":"On the local representation theory of symmetric groups"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2506.04773","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":"sha256:4b3990765a91ed796fb8cb5b6d1c66bbb23e222a418685c926cdfb85445e5ae8","target":"record","created_at":"2026-07-05T11:16:19Z","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":"75bb3493820411941ec9e0612fa366262fe20a63a180a3b934cc2f4d9845ee1e","cross_cats_sorted":["math.GR"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2025-06-05T09:02:17Z","title_canon_sha256":"736f0b41cf16d758264604a091b44b827784247f2071f73c42bdd94787760372"},"schema_version":"1.0","source":{"id":"2506.04773","kind":"arxiv","version":1}},"canonical_sha256":"a383deb2df0a23950bd961fa1de82ddcacfc268e9849e0887ae3300a63472f4d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a383deb2df0a23950bd961fa1de82ddcacfc268e9849e0887ae3300a63472f4d","first_computed_at":"2026-07-05T11:16:19.909167Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T11:16:19.909167Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"V3J/88wKS9d/JK1DWySq5NOE7/xwTVy0r71YQt9TpwkyWbKx2vEUeRcesn1bOWcS3/ve8PAN7XHBLPW2oivYDA==","signature_status":"signed_v1","signed_at":"2026-07-05T11:16:19.909669Z","signed_message":"canonical_sha256_bytes"},"source_id":"2506.04773","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4b3990765a91ed796fb8cb5b6d1c66bbb23e222a418685c926cdfb85445e5ae8","sha256:4d4021d91c4aa403794fa57720a4251f40dea3dce85e35397ed12282ad0cd671"],"state_sha256":"80ee79a37d887e9caa8104d72fd224a2fe6ca8a9754fc0dacd57f3622ec85d86"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"iSr7gpp46+tYcTq8O/aFyyvWQwOHAlRPsuN1y8Im9B5pERN39nWvHDWWsN2p58t38RUIFNKdy5YRRl5IKjUhCw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-09T10:19:06.143165Z","bundle_sha256":"ee876a3368a47b4f3786cb8b4ab8efa8c06dd0072af477c8905625bdd3887e3b"}}