{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:DEDG5JVNRLOUZ6DDVQBRXOXYFO","short_pith_number":"pith:DEDG5JVN","canonical_record":{"source":{"id":"1704.02412","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2017-04-08T00:44:08Z","cross_cats_sorted":[],"title_canon_sha256":"98a6c152ce3af16193271c5c35e0c8bdccc630f07085e15ee6fdfc3d45824165","abstract_canon_sha256":"0dccd5e13d176df7b3b7a30aba0802abb06a71330552d184eeea9dfb770ae563"},"schema_version":"1.0"},"canonical_sha256":"19066ea6ad8add4cf863ac031bbaf82bba2d9f3b0845004bfc21862e791e9a8b","source":{"kind":"arxiv","id":"1704.02412","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1704.02412","created_at":"2026-05-18T00:46:45Z"},{"alias_kind":"arxiv_version","alias_value":"1704.02412v1","created_at":"2026-05-18T00:46:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1704.02412","created_at":"2026-05-18T00:46:45Z"},{"alias_kind":"pith_short_12","alias_value":"DEDG5JVNRLOU","created_at":"2026-05-18T12:31:10Z"},{"alias_kind":"pith_short_16","alias_value":"DEDG5JVNRLOUZ6DD","created_at":"2026-05-18T12:31:10Z"},{"alias_kind":"pith_short_8","alias_value":"DEDG5JVN","created_at":"2026-05-18T12:31:10Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:DEDG5JVNRLOUZ6DDVQBRXOXYFO","target":"record","payload":{"canonical_record":{"source":{"id":"1704.02412","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2017-04-08T00:44:08Z","cross_cats_sorted":[],"title_canon_sha256":"98a6c152ce3af16193271c5c35e0c8bdccc630f07085e15ee6fdfc3d45824165","abstract_canon_sha256":"0dccd5e13d176df7b3b7a30aba0802abb06a71330552d184eeea9dfb770ae563"},"schema_version":"1.0"},"canonical_sha256":"19066ea6ad8add4cf863ac031bbaf82bba2d9f3b0845004bfc21862e791e9a8b","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:46:45.641973Z","signature_b64":"ppuNbrlsNjRMGOBQfPBe9ebGKSrxAScx1tbY+bkXH8RKbWJVgdIUl3LquqWRYr0cY45xHqDr7C/RxYab2ovZCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"19066ea6ad8add4cf863ac031bbaf82bba2d9f3b0845004bfc21862e791e9a8b","last_reissued_at":"2026-05-18T00:46:45.641329Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:46:45.641329Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1704.02412","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":"2026-05-18T00:46:45Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"/vRM2RaHLEPkCXk6JQSODVip1/QkY22WECuqE3d3IToBisfrJpKdBuuYKX629nW42SG7BsGeJ8lLHmJgNTPTBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-01T22:40:45.552482Z"},"content_sha256":"11d5ed3d34afed264d23d434568c86e95fd0d403bfbdd44a18ba9c037ca27b7b","schema_version":"1.0","event_id":"sha256:11d5ed3d34afed264d23d434568c86e95fd0d403bfbdd44a18ba9c037ca27b7b"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:DEDG5JVNRLOUZ6DDVQBRXOXYFO","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Invariants of Specht Modules","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.RT","authors_text":"Haralampos Geranios, Stephen Donkin","submitted_at":"2017-04-08T00:44:08Z","abstract_excerpt":"In [14] Hemmer conjectures that the module of fixed points for the symmetric group $\\Sigma_m$ of a Specht module for $\\Sigma_n$ (with $n>m$), over a field of positive characteristic $p$, has a Specht series, when viewed as a $\\Sigma_{n-m}$-module. We provide a counterexample for each prime $p$. The examples have the same form for $p\\geq 5$ and we treat the cases $p=3$ and $p=2$ separately."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1704.02412","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":"2026-05-18T00:46:45Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"1h40s+THhSUPAjh2BsLTbu9Xk7FYR4wm2kxfgUNgM2sE92h89LEskSUqpt7sWs2RVhpND+2iZXipteBlIOtGDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-01T22:40:45.553106Z"},"content_sha256":"47a56d38630837605848358c8c62d92bdca15dc2d100bde2fb23e251137c5542","schema_version":"1.0","event_id":"sha256:47a56d38630837605848358c8c62d92bdca15dc2d100bde2fb23e251137c5542"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/DEDG5JVNRLOUZ6DDVQBRXOXYFO/bundle.json","state_url":"https://pith.science/pith/DEDG5JVNRLOUZ6DDVQBRXOXYFO/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/DEDG5JVNRLOUZ6DDVQBRXOXYFO/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":"2026-07-01T22:40:45Z","links":{"resolver":"https://pith.science/pith/DEDG5JVNRLOUZ6DDVQBRXOXYFO","bundle":"https://pith.science/pith/DEDG5JVNRLOUZ6DDVQBRXOXYFO/bundle.json","state":"https://pith.science/pith/DEDG5JVNRLOUZ6DDVQBRXOXYFO/state.json","well_known_bundle":"https://pith.science/.well-known/pith/DEDG5JVNRLOUZ6DDVQBRXOXYFO/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:DEDG5JVNRLOUZ6DDVQBRXOXYFO","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":"0dccd5e13d176df7b3b7a30aba0802abb06a71330552d184eeea9dfb770ae563","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2017-04-08T00:44:08Z","title_canon_sha256":"98a6c152ce3af16193271c5c35e0c8bdccc630f07085e15ee6fdfc3d45824165"},"schema_version":"1.0","source":{"id":"1704.02412","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1704.02412","created_at":"2026-05-18T00:46:45Z"},{"alias_kind":"arxiv_version","alias_value":"1704.02412v1","created_at":"2026-05-18T00:46:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1704.02412","created_at":"2026-05-18T00:46:45Z"},{"alias_kind":"pith_short_12","alias_value":"DEDG5JVNRLOU","created_at":"2026-05-18T12:31:10Z"},{"alias_kind":"pith_short_16","alias_value":"DEDG5JVNRLOUZ6DD","created_at":"2026-05-18T12:31:10Z"},{"alias_kind":"pith_short_8","alias_value":"DEDG5JVN","created_at":"2026-05-18T12:31:10Z"}],"graph_snapshots":[{"event_id":"sha256:47a56d38630837605848358c8c62d92bdca15dc2d100bde2fb23e251137c5542","target":"graph","created_at":"2026-05-18T00:46:45Z","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":"In [14] Hemmer conjectures that the module of fixed points for the symmetric group $\\Sigma_m$ of a Specht module for $\\Sigma_n$ (with $n>m$), over a field of positive characteristic $p$, has a Specht series, when viewed as a $\\Sigma_{n-m}$-module. We provide a counterexample for each prime $p$. The examples have the same form for $p\\geq 5$ and we treat the cases $p=3$ and $p=2$ separately.","authors_text":"Haralampos Geranios, Stephen Donkin","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2017-04-08T00:44:08Z","title":"Invariants of Specht Modules"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1704.02412","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":"sha256:11d5ed3d34afed264d23d434568c86e95fd0d403bfbdd44a18ba9c037ca27b7b","target":"record","created_at":"2026-05-18T00:46:45Z","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":"0dccd5e13d176df7b3b7a30aba0802abb06a71330552d184eeea9dfb770ae563","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2017-04-08T00:44:08Z","title_canon_sha256":"98a6c152ce3af16193271c5c35e0c8bdccc630f07085e15ee6fdfc3d45824165"},"schema_version":"1.0","source":{"id":"1704.02412","kind":"arxiv","version":1}},"canonical_sha256":"19066ea6ad8add4cf863ac031bbaf82bba2d9f3b0845004bfc21862e791e9a8b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"19066ea6ad8add4cf863ac031bbaf82bba2d9f3b0845004bfc21862e791e9a8b","first_computed_at":"2026-05-18T00:46:45.641329Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:46:45.641329Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ppuNbrlsNjRMGOBQfPBe9ebGKSrxAScx1tbY+bkXH8RKbWJVgdIUl3LquqWRYr0cY45xHqDr7C/RxYab2ovZCg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:46:45.641973Z","signed_message":"canonical_sha256_bytes"},"source_id":"1704.02412","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:11d5ed3d34afed264d23d434568c86e95fd0d403bfbdd44a18ba9c037ca27b7b","sha256:47a56d38630837605848358c8c62d92bdca15dc2d100bde2fb23e251137c5542"],"state_sha256":"f5f6395dd743c9235e4ce139ef61154a78298b85b6f01b33368556dfc948bd5f"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Hmu00wrQU5zWmBX6ajlltgf4dBhph+Et+DKgNNxDfL4qiPSvUi1p3D1O0DA/IhvSmLQSLPJcrzTJ4+dbR0DFCw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-01T22:40:45.556414Z","bundle_sha256":"e26aff6306d5b214423cd28de0eed7e108236f2c7642100eeb7a48cc99a9d5ba"}}