{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:Q4QWCYIGTC72CCAOXYYWL4ALG2","short_pith_number":"pith:Q4QWCYIG","canonical_record":{"source":{"id":"1809.01957","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2018-09-06T12:53:23Z","cross_cats_sorted":[],"title_canon_sha256":"9cd784148df0f67ac9d24587312cd475ed340c84ddf989f745130031982f9fcc","abstract_canon_sha256":"7120d9546bb0d99efafc8771a6bc03b5f5d4a235d0bb70c02cfb8f1572f7684d"},"schema_version":"1.0"},"canonical_sha256":"872161610698bfa1080ebe3165f00b36b8326f46df3dc729913328a76f137e47","source":{"kind":"arxiv","id":"1809.01957","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1809.01957","created_at":"2026-05-17T23:55:42Z"},{"alias_kind":"arxiv_version","alias_value":"1809.01957v3","created_at":"2026-05-17T23:55:42Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1809.01957","created_at":"2026-05-17T23:55:42Z"},{"alias_kind":"pith_short_12","alias_value":"Q4QWCYIGTC72","created_at":"2026-05-18T12:32:46Z"},{"alias_kind":"pith_short_16","alias_value":"Q4QWCYIGTC72CCAO","created_at":"2026-05-18T12:32:46Z"},{"alias_kind":"pith_short_8","alias_value":"Q4QWCYIG","created_at":"2026-05-18T12:32:46Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:Q4QWCYIGTC72CCAOXYYWL4ALG2","target":"record","payload":{"canonical_record":{"source":{"id":"1809.01957","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2018-09-06T12:53:23Z","cross_cats_sorted":[],"title_canon_sha256":"9cd784148df0f67ac9d24587312cd475ed340c84ddf989f745130031982f9fcc","abstract_canon_sha256":"7120d9546bb0d99efafc8771a6bc03b5f5d4a235d0bb70c02cfb8f1572f7684d"},"schema_version":"1.0"},"canonical_sha256":"872161610698bfa1080ebe3165f00b36b8326f46df3dc729913328a76f137e47","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:55:42.587850Z","signature_b64":"F0k+34ahF54AhWt6H9qphiPpteO53EaoGUMz/UNvcEJFRbjqg2u3b9LSOQNnkrJe29u2pAP6pfhWaGL64/tQCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"872161610698bfa1080ebe3165f00b36b8326f46df3dc729913328a76f137e47","last_reissued_at":"2026-05-17T23:55:42.587400Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:55:42.587400Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1809.01957","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":"2026-05-17T23:55:42Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ObgjTSGySyk2eVlFvR67QfQtWyttprwa3eJ/9d2+irycfE9XRUysYc5+OEw5HtcIsQr2J89XuHp2xoCuRwMkAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T07:44:41.704822Z"},"content_sha256":"d2d7c1393e052f7babdda33f9c949e1297ac49b5cacc604df34075432293ec87","schema_version":"1.0","event_id":"sha256:d2d7c1393e052f7babdda33f9c949e1297ac49b5cacc604df34075432293ec87"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:Q4QWCYIGTC72CCAOXYYWL4ALG2","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Fusion systems on maximal class $3$-groups of rank two revisited","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.GR","authors_text":"Chris Parker, Jason Semeraro","submitted_at":"2018-09-06T12:53:23Z","abstract_excerpt":"We complete the determination of saturated fusion systems on maximal class 3-groups of rank two."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1809.01957","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":"2026-05-17T23:55:42Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"HCRnbLDzDtvFqnET3/VD3dEdUVen1o5KG4FB+lldZgEnxIW5R+gIR5ymuDS6LhVOe2/gnyioiC0r7ysUxB/tAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T07:44:41.705224Z"},"content_sha256":"d6216b5b62f9b6fdf4ed4862abb3c2ac5328293ea1b313ed7c7be688996d95b4","schema_version":"1.0","event_id":"sha256:d6216b5b62f9b6fdf4ed4862abb3c2ac5328293ea1b313ed7c7be688996d95b4"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/Q4QWCYIGTC72CCAOXYYWL4ALG2/bundle.json","state_url":"https://pith.science/pith/Q4QWCYIGTC72CCAOXYYWL4ALG2/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/Q4QWCYIGTC72CCAOXYYWL4ALG2/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":"2026-05-30T07:44:41Z","links":{"resolver":"https://pith.science/pith/Q4QWCYIGTC72CCAOXYYWL4ALG2","bundle":"https://pith.science/pith/Q4QWCYIGTC72CCAOXYYWL4ALG2/bundle.json","state":"https://pith.science/pith/Q4QWCYIGTC72CCAOXYYWL4ALG2/state.json","well_known_bundle":"https://pith.science/.well-known/pith/Q4QWCYIGTC72CCAOXYYWL4ALG2/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:Q4QWCYIGTC72CCAOXYYWL4ALG2","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":"7120d9546bb0d99efafc8771a6bc03b5f5d4a235d0bb70c02cfb8f1572f7684d","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2018-09-06T12:53:23Z","title_canon_sha256":"9cd784148df0f67ac9d24587312cd475ed340c84ddf989f745130031982f9fcc"},"schema_version":"1.0","source":{"id":"1809.01957","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1809.01957","created_at":"2026-05-17T23:55:42Z"},{"alias_kind":"arxiv_version","alias_value":"1809.01957v3","created_at":"2026-05-17T23:55:42Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1809.01957","created_at":"2026-05-17T23:55:42Z"},{"alias_kind":"pith_short_12","alias_value":"Q4QWCYIGTC72","created_at":"2026-05-18T12:32:46Z"},{"alias_kind":"pith_short_16","alias_value":"Q4QWCYIGTC72CCAO","created_at":"2026-05-18T12:32:46Z"},{"alias_kind":"pith_short_8","alias_value":"Q4QWCYIG","created_at":"2026-05-18T12:32:46Z"}],"graph_snapshots":[{"event_id":"sha256:d6216b5b62f9b6fdf4ed4862abb3c2ac5328293ea1b313ed7c7be688996d95b4","target":"graph","created_at":"2026-05-17T23:55:42Z","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 complete the determination of saturated fusion systems on maximal class 3-groups of rank two.","authors_text":"Chris Parker, Jason Semeraro","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2018-09-06T12:53:23Z","title":"Fusion systems on maximal class $3$-groups of rank two revisited"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1809.01957","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:d2d7c1393e052f7babdda33f9c949e1297ac49b5cacc604df34075432293ec87","target":"record","created_at":"2026-05-17T23:55:42Z","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":"7120d9546bb0d99efafc8771a6bc03b5f5d4a235d0bb70c02cfb8f1572f7684d","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2018-09-06T12:53:23Z","title_canon_sha256":"9cd784148df0f67ac9d24587312cd475ed340c84ddf989f745130031982f9fcc"},"schema_version":"1.0","source":{"id":"1809.01957","kind":"arxiv","version":3}},"canonical_sha256":"872161610698bfa1080ebe3165f00b36b8326f46df3dc729913328a76f137e47","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"872161610698bfa1080ebe3165f00b36b8326f46df3dc729913328a76f137e47","first_computed_at":"2026-05-17T23:55:42.587400Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:55:42.587400Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"F0k+34ahF54AhWt6H9qphiPpteO53EaoGUMz/UNvcEJFRbjqg2u3b9LSOQNnkrJe29u2pAP6pfhWaGL64/tQCw==","signature_status":"signed_v1","signed_at":"2026-05-17T23:55:42.587850Z","signed_message":"canonical_sha256_bytes"},"source_id":"1809.01957","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d2d7c1393e052f7babdda33f9c949e1297ac49b5cacc604df34075432293ec87","sha256:d6216b5b62f9b6fdf4ed4862abb3c2ac5328293ea1b313ed7c7be688996d95b4"],"state_sha256":"ea3c9036d13a02915a94aa41d255c836ec57a5633065e58484e034dd690e8d4e"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"CxmoKpod2gTfXMoY/X/WKY8lq7VlK839uc8oKvULT86x3XrkelpTgLOHkxSUmni2qH9mMLEvADnNW9DArjbvBQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-30T07:44:41.707163Z","bundle_sha256":"c930668f7b058ea46d5376d059a7a9e3cbb0e42a2e69036b72cb3804a9d7f396"}}