{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:YJKCTVH4KJFFMBNYTX6SITMKEJ","short_pith_number":"pith:YJKCTVH4","canonical_record":{"source":{"id":"1402.0633","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2014-02-04T06:34:02Z","cross_cats_sorted":[],"title_canon_sha256":"e8f22e67820fc8688fb80d7c855aca50984ba82bf5c9564b4f405c6bb4db5aac","abstract_canon_sha256":"af8080ee124defdfd7cbff5990f5712bd12d5de10bcac347bcb223b7c418b45b"},"schema_version":"1.0"},"canonical_sha256":"c25429d4fc524a5605b89dfd244d8a2259d91400f10f3d129a719d13e1170951","source":{"kind":"arxiv","id":"1402.0633","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1402.0633","created_at":"2026-05-18T02:47:07Z"},{"alias_kind":"arxiv_version","alias_value":"1402.0633v1","created_at":"2026-05-18T02:47:07Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1402.0633","created_at":"2026-05-18T02:47:07Z"},{"alias_kind":"pith_short_12","alias_value":"YJKCTVH4KJFF","created_at":"2026-05-18T12:28:57Z"},{"alias_kind":"pith_short_16","alias_value":"YJKCTVH4KJFFMBNY","created_at":"2026-05-18T12:28:57Z"},{"alias_kind":"pith_short_8","alias_value":"YJKCTVH4","created_at":"2026-05-18T12:28:57Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:YJKCTVH4KJFFMBNYTX6SITMKEJ","target":"record","payload":{"canonical_record":{"source":{"id":"1402.0633","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2014-02-04T06:34:02Z","cross_cats_sorted":[],"title_canon_sha256":"e8f22e67820fc8688fb80d7c855aca50984ba82bf5c9564b4f405c6bb4db5aac","abstract_canon_sha256":"af8080ee124defdfd7cbff5990f5712bd12d5de10bcac347bcb223b7c418b45b"},"schema_version":"1.0"},"canonical_sha256":"c25429d4fc524a5605b89dfd244d8a2259d91400f10f3d129a719d13e1170951","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:47:07.565231Z","signature_b64":"pMEr36JfTwpaPAXgNc5i0LDy7QM8MzNfmZ+N0PycZP2/29jRRzkae0lJ5Tsbm5EGExXeTkLp2EN/j5FYeGFFCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c25429d4fc524a5605b89dfd244d8a2259d91400f10f3d129a719d13e1170951","last_reissued_at":"2026-05-18T02:47:07.564822Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:47:07.564822Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1402.0633","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":"2026-05-18T02:47:07Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"nNqtP7FNPQydBchbepUGY7ifaZOy5wVyQaEV+DQyo61F2KpEStZbIYdK1Cqk2wAyrCrf4Eely2RBrWkYQ0ZTCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T18:06:01.634357Z"},"content_sha256":"f3e1130b09b3e1086b9f6fdae4c630d294023cdf5ff3047e2ef4ffa49236bbd3","schema_version":"1.0","event_id":"sha256:f3e1130b09b3e1086b9f6fdae4c630d294023cdf5ff3047e2ef4ffa49236bbd3"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:YJKCTVH4KJFFMBNYTX6SITMKEJ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On a finite 2,3-generated group of period 12","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.GR","authors_text":"Andrei V. Zavarnitsine","submitted_at":"2014-02-04T06:34:02Z","abstract_excerpt":"Using calculations in computer algebra systems along with some theoretic results, we construct the largest finite group of period 12 generated by an element of order 2 and an element of order 3. In particular, we prove that this group has order $2^{66}.3^7$."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1402.0633","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":"2026-05-18T02:47:07Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"w4Dhu5e2XM3LgYdIZXs4MvqdW+Y3Ub3PgCbFVvcWEHdDXpa9wf4NeFqTsXZR0NUqRZQhKbNHOlpgtQmxA5n5AA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T18:06:01.635037Z"},"content_sha256":"6f36d065ba5b6d53d5064e08a51f4cef1cef239f2f3bf4c8fa14fbd615aaf576","schema_version":"1.0","event_id":"sha256:6f36d065ba5b6d53d5064e08a51f4cef1cef239f2f3bf4c8fa14fbd615aaf576"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/YJKCTVH4KJFFMBNYTX6SITMKEJ/bundle.json","state_url":"https://pith.science/pith/YJKCTVH4KJFFMBNYTX6SITMKEJ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/YJKCTVH4KJFFMBNYTX6SITMKEJ/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":"2026-05-27T18:06:01Z","links":{"resolver":"https://pith.science/pith/YJKCTVH4KJFFMBNYTX6SITMKEJ","bundle":"https://pith.science/pith/YJKCTVH4KJFFMBNYTX6SITMKEJ/bundle.json","state":"https://pith.science/pith/YJKCTVH4KJFFMBNYTX6SITMKEJ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/YJKCTVH4KJFFMBNYTX6SITMKEJ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:YJKCTVH4KJFFMBNYTX6SITMKEJ","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":"af8080ee124defdfd7cbff5990f5712bd12d5de10bcac347bcb223b7c418b45b","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2014-02-04T06:34:02Z","title_canon_sha256":"e8f22e67820fc8688fb80d7c855aca50984ba82bf5c9564b4f405c6bb4db5aac"},"schema_version":"1.0","source":{"id":"1402.0633","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1402.0633","created_at":"2026-05-18T02:47:07Z"},{"alias_kind":"arxiv_version","alias_value":"1402.0633v1","created_at":"2026-05-18T02:47:07Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1402.0633","created_at":"2026-05-18T02:47:07Z"},{"alias_kind":"pith_short_12","alias_value":"YJKCTVH4KJFF","created_at":"2026-05-18T12:28:57Z"},{"alias_kind":"pith_short_16","alias_value":"YJKCTVH4KJFFMBNY","created_at":"2026-05-18T12:28:57Z"},{"alias_kind":"pith_short_8","alias_value":"YJKCTVH4","created_at":"2026-05-18T12:28:57Z"}],"graph_snapshots":[{"event_id":"sha256:6f36d065ba5b6d53d5064e08a51f4cef1cef239f2f3bf4c8fa14fbd615aaf576","target":"graph","created_at":"2026-05-18T02:47:07Z","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":"Using calculations in computer algebra systems along with some theoretic results, we construct the largest finite group of period 12 generated by an element of order 2 and an element of order 3. In particular, we prove that this group has order $2^{66}.3^7$.","authors_text":"Andrei V. Zavarnitsine","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2014-02-04T06:34:02Z","title":"On a finite 2,3-generated group of period 12"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1402.0633","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:f3e1130b09b3e1086b9f6fdae4c630d294023cdf5ff3047e2ef4ffa49236bbd3","target":"record","created_at":"2026-05-18T02:47:07Z","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":"af8080ee124defdfd7cbff5990f5712bd12d5de10bcac347bcb223b7c418b45b","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2014-02-04T06:34:02Z","title_canon_sha256":"e8f22e67820fc8688fb80d7c855aca50984ba82bf5c9564b4f405c6bb4db5aac"},"schema_version":"1.0","source":{"id":"1402.0633","kind":"arxiv","version":1}},"canonical_sha256":"c25429d4fc524a5605b89dfd244d8a2259d91400f10f3d129a719d13e1170951","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c25429d4fc524a5605b89dfd244d8a2259d91400f10f3d129a719d13e1170951","first_computed_at":"2026-05-18T02:47:07.564822Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:47:07.564822Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"pMEr36JfTwpaPAXgNc5i0LDy7QM8MzNfmZ+N0PycZP2/29jRRzkae0lJ5Tsbm5EGExXeTkLp2EN/j5FYeGFFCw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:47:07.565231Z","signed_message":"canonical_sha256_bytes"},"source_id":"1402.0633","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f3e1130b09b3e1086b9f6fdae4c630d294023cdf5ff3047e2ef4ffa49236bbd3","sha256:6f36d065ba5b6d53d5064e08a51f4cef1cef239f2f3bf4c8fa14fbd615aaf576"],"state_sha256":"497d67145c345eedd2ac4178ede42153b2e0bd4fff625d51c8f8c51dcc970b6c"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"raIB7nKr/kHh2VndmZ0TCl1rIteQZuRlai3FjVh2pCWQZLX5pQ9vd7hHvm44vK+FXt+VXpBci16l0L4PhEAwBg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-27T18:06:01.637732Z","bundle_sha256":"2548320b6e8df6c3873febaee57079109d59e020bbba251b308d2289edc94e8d"}}