{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:ODCNKO7AGLIDT2DW74XUJ4KXN7","short_pith_number":"pith:ODCNKO7A","canonical_record":{"source":{"id":"1112.1228","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2011-12-06T10:51:36Z","cross_cats_sorted":[],"title_canon_sha256":"4178ac9350f8a37b95d6476a1fbe8620f8384cd0bc9b07f7ae8198484e1fbd8c","abstract_canon_sha256":"755caf9eb3a88bdf851ced7fb2bf32726b41d62ec0110568a0606dd018752d2a"},"schema_version":"1.0"},"canonical_sha256":"70c4d53be032d039e876ff2f44f1576fd8dc9450c685e16f8657d52048b3e294","source":{"kind":"arxiv","id":"1112.1228","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1112.1228","created_at":"2026-05-18T02:43:45Z"},{"alias_kind":"arxiv_version","alias_value":"1112.1228v3","created_at":"2026-05-18T02:43:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1112.1228","created_at":"2026-05-18T02:43:45Z"},{"alias_kind":"pith_short_12","alias_value":"ODCNKO7AGLID","created_at":"2026-05-18T12:26:37Z"},{"alias_kind":"pith_short_16","alias_value":"ODCNKO7AGLIDT2DW","created_at":"2026-05-18T12:26:37Z"},{"alias_kind":"pith_short_8","alias_value":"ODCNKO7A","created_at":"2026-05-18T12:26:37Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:ODCNKO7AGLIDT2DW74XUJ4KXN7","target":"record","payload":{"canonical_record":{"source":{"id":"1112.1228","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2011-12-06T10:51:36Z","cross_cats_sorted":[],"title_canon_sha256":"4178ac9350f8a37b95d6476a1fbe8620f8384cd0bc9b07f7ae8198484e1fbd8c","abstract_canon_sha256":"755caf9eb3a88bdf851ced7fb2bf32726b41d62ec0110568a0606dd018752d2a"},"schema_version":"1.0"},"canonical_sha256":"70c4d53be032d039e876ff2f44f1576fd8dc9450c685e16f8657d52048b3e294","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:43:45.794038Z","signature_b64":"FvWE2qhaOH5wd+CrpycDw82qbuHp4yvmG4mh3vIoGKZbEsmc9fD6pZ/LJJpkafFTn49/mrKnKJiqpxMgHGXTAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"70c4d53be032d039e876ff2f44f1576fd8dc9450c685e16f8657d52048b3e294","last_reissued_at":"2026-05-18T02:43:45.793615Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:43:45.793615Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1112.1228","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:43:45Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"HHCQoC8P89dan8asQzuV5FSmGEWUuWSGLKqwwMt7hEt5dk/abD6AVS0u0h69rFv6LBP2JNpaUc6yvbV6qzGUDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-24T07:59:17.599691Z"},"content_sha256":"fe94687f4d6273710358ce5acc80ea67f2956a04a15a172af41030596475f2eb","schema_version":"1.0","event_id":"sha256:fe94687f4d6273710358ce5acc80ea67f2956a04a15a172af41030596475f2eb"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:ODCNKO7AGLIDT2DW74XUJ4KXN7","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Sylow $p$-groups of polynomial permutations on the integers mod $p^n$","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.GR","authors_text":"Daniel Krenn, Sophie Frisch","submitted_at":"2011-12-06T10:51:36Z","abstract_excerpt":"We describe the Sylow $p$-groups of the group of polynomial permutations of the integers mod $p^n$."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1112.1228","kind":"arxiv","version":3},"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":"2026-05-18T02:43:45Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"K+R3KWVodNTeUN0AbqTL75mHRM7mNcsLyHcSF8YcEJmMwdINLegO0FhV4sTPegyvdsXzFZKt+s1sKH+upnlIAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-24T07:59:17.600030Z"},"content_sha256":"5916af0e1f60d516ce39785e6180320600d9f820eddc99b1b8554929060aea37","schema_version":"1.0","event_id":"sha256:5916af0e1f60d516ce39785e6180320600d9f820eddc99b1b8554929060aea37"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/ODCNKO7AGLIDT2DW74XUJ4KXN7/bundle.json","state_url":"https://pith.science/pith/ODCNKO7AGLIDT2DW74XUJ4KXN7/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/ODCNKO7AGLIDT2DW74XUJ4KXN7/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":"2026-06-24T07:59:17Z","links":{"resolver":"https://pith.science/pith/ODCNKO7AGLIDT2DW74XUJ4KXN7","bundle":"https://pith.science/pith/ODCNKO7AGLIDT2DW74XUJ4KXN7/bundle.json","state":"https://pith.science/pith/ODCNKO7AGLIDT2DW74XUJ4KXN7/state.json","well_known_bundle":"https://pith.science/.well-known/pith/ODCNKO7AGLIDT2DW74XUJ4KXN7/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:ODCNKO7AGLIDT2DW74XUJ4KXN7","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":"755caf9eb3a88bdf851ced7fb2bf32726b41d62ec0110568a0606dd018752d2a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2011-12-06T10:51:36Z","title_canon_sha256":"4178ac9350f8a37b95d6476a1fbe8620f8384cd0bc9b07f7ae8198484e1fbd8c"},"schema_version":"1.0","source":{"id":"1112.1228","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1112.1228","created_at":"2026-05-18T02:43:45Z"},{"alias_kind":"arxiv_version","alias_value":"1112.1228v3","created_at":"2026-05-18T02:43:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1112.1228","created_at":"2026-05-18T02:43:45Z"},{"alias_kind":"pith_short_12","alias_value":"ODCNKO7AGLID","created_at":"2026-05-18T12:26:37Z"},{"alias_kind":"pith_short_16","alias_value":"ODCNKO7AGLIDT2DW","created_at":"2026-05-18T12:26:37Z"},{"alias_kind":"pith_short_8","alias_value":"ODCNKO7A","created_at":"2026-05-18T12:26:37Z"}],"graph_snapshots":[{"event_id":"sha256:5916af0e1f60d516ce39785e6180320600d9f820eddc99b1b8554929060aea37","target":"graph","created_at":"2026-05-18T02:43:45Z","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":"We describe the Sylow $p$-groups of the group of polynomial permutations of the integers mod $p^n$.","authors_text":"Daniel Krenn, Sophie Frisch","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2011-12-06T10:51:36Z","title":"Sylow $p$-groups of polynomial permutations on the integers mod $p^n$"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1112.1228","kind":"arxiv","version":3},"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:fe94687f4d6273710358ce5acc80ea67f2956a04a15a172af41030596475f2eb","target":"record","created_at":"2026-05-18T02:43:45Z","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":"755caf9eb3a88bdf851ced7fb2bf32726b41d62ec0110568a0606dd018752d2a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2011-12-06T10:51:36Z","title_canon_sha256":"4178ac9350f8a37b95d6476a1fbe8620f8384cd0bc9b07f7ae8198484e1fbd8c"},"schema_version":"1.0","source":{"id":"1112.1228","kind":"arxiv","version":3}},"canonical_sha256":"70c4d53be032d039e876ff2f44f1576fd8dc9450c685e16f8657d52048b3e294","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"70c4d53be032d039e876ff2f44f1576fd8dc9450c685e16f8657d52048b3e294","first_computed_at":"2026-05-18T02:43:45.793615Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:43:45.793615Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"FvWE2qhaOH5wd+CrpycDw82qbuHp4yvmG4mh3vIoGKZbEsmc9fD6pZ/LJJpkafFTn49/mrKnKJiqpxMgHGXTAw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:43:45.794038Z","signed_message":"canonical_sha256_bytes"},"source_id":"1112.1228","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:fe94687f4d6273710358ce5acc80ea67f2956a04a15a172af41030596475f2eb","sha256:5916af0e1f60d516ce39785e6180320600d9f820eddc99b1b8554929060aea37"],"state_sha256":"b295022c8a540b82c637f29a75b49468fb102d5f398274152ee1fa3dbfc8785e"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"of938E8k0q2CdfESDQePpwNf0TJUKth4XpfyqJqwTNhT0XmOov4bUCGvRhKeMZtfQtL5nNKgkrX0aXOeqNMmDw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-24T07:59:17.601945Z","bundle_sha256":"ceb9421da621a224b851838588e06165dc01341691ace80ae45950ebe61a449c"}}