{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:JDVAAENAYT7FOHALX4YDMOXFMH","short_pith_number":"pith:JDVAAENA","canonical_record":{"source":{"id":"1610.05030","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2016-10-17T09:41:13Z","cross_cats_sorted":[],"title_canon_sha256":"ae831cfb01d2e59c3707a8e20ad6108e51fe2aa17397fc37daff192f5123df58","abstract_canon_sha256":"6e2a8fbdde7d91b5428f2d682e961126b72d3c46a47b2f49b281bda69925cb53"},"schema_version":"1.0"},"canonical_sha256":"48ea0011a0c4fe571c0bbf30363ae561dbd4ae10e87c43d1ae1422113457d2bb","source":{"kind":"arxiv","id":"1610.05030","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1610.05030","created_at":"2026-05-18T00:51:25Z"},{"alias_kind":"arxiv_version","alias_value":"1610.05030v1","created_at":"2026-05-18T00:51:25Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1610.05030","created_at":"2026-05-18T00:51:25Z"},{"alias_kind":"pith_short_12","alias_value":"JDVAAENAYT7F","created_at":"2026-05-18T12:30:25Z"},{"alias_kind":"pith_short_16","alias_value":"JDVAAENAYT7FOHAL","created_at":"2026-05-18T12:30:25Z"},{"alias_kind":"pith_short_8","alias_value":"JDVAAENA","created_at":"2026-05-18T12:30:25Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:JDVAAENAYT7FOHALX4YDMOXFMH","target":"record","payload":{"canonical_record":{"source":{"id":"1610.05030","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2016-10-17T09:41:13Z","cross_cats_sorted":[],"title_canon_sha256":"ae831cfb01d2e59c3707a8e20ad6108e51fe2aa17397fc37daff192f5123df58","abstract_canon_sha256":"6e2a8fbdde7d91b5428f2d682e961126b72d3c46a47b2f49b281bda69925cb53"},"schema_version":"1.0"},"canonical_sha256":"48ea0011a0c4fe571c0bbf30363ae561dbd4ae10e87c43d1ae1422113457d2bb","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:51:25.173448Z","signature_b64":"7Je8si5qFQb7QmAGDBba+gqz4yUJ3bhbKDBacj8ukTze1BhoUBNWniMyv4OtcZNQSREpaQ8ksxrJ97Fd0C0qDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"48ea0011a0c4fe571c0bbf30363ae561dbd4ae10e87c43d1ae1422113457d2bb","last_reissued_at":"2026-05-18T00:51:25.172810Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:51:25.172810Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1610.05030","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":"2026-05-18T00:51:25Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"OUULDijn63pCfTn+A7P5J9aqf6bBbKgkO+gorNf67FkypBSzptPi0kw6AUYg1YiQDAq8xW9VT474jjncL8xIAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T07:52:17.037926Z"},"content_sha256":"f3397e5085057ad6383b69f902ea605b1c615db8493b85350b67fe1db517c366","schema_version":"1.0","event_id":"sha256:f3397e5085057ad6383b69f902ea605b1c615db8493b85350b67fe1db517c366"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:JDVAAENAYT7FOHALX4YDMOXFMH","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On nilpotent Chernikov 2-groups with elementary tops","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.GR","authors_text":"Andriana I. Plakosh, Yuriy A. Drozd","submitted_at":"2016-10-17T09:41:13Z","abstract_excerpt":"We give an explicit description of nilpotent Chernikov 2-groups with elementary tops and the basis of rank 2."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1610.05030","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":"2026-05-18T00:51:25Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"hSC5LDeO71egFGGUzhdpS6ZOX8N8QR2kVoDjGwhJmK2CcgAF9OXYdDhiFDvjajrHrazuBuZlNe7mDuG7z1X0Aw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T07:52:17.038336Z"},"content_sha256":"aab86b230c1ae3eb5c906c4bcc2983b0aec1455bd04c5a785a2ee7312395bc7c","schema_version":"1.0","event_id":"sha256:aab86b230c1ae3eb5c906c4bcc2983b0aec1455bd04c5a785a2ee7312395bc7c"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/JDVAAENAYT7FOHALX4YDMOXFMH/bundle.json","state_url":"https://pith.science/pith/JDVAAENAYT7FOHALX4YDMOXFMH/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/JDVAAENAYT7FOHALX4YDMOXFMH/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":"2026-05-30T07:52:17Z","links":{"resolver":"https://pith.science/pith/JDVAAENAYT7FOHALX4YDMOXFMH","bundle":"https://pith.science/pith/JDVAAENAYT7FOHALX4YDMOXFMH/bundle.json","state":"https://pith.science/pith/JDVAAENAYT7FOHALX4YDMOXFMH/state.json","well_known_bundle":"https://pith.science/.well-known/pith/JDVAAENAYT7FOHALX4YDMOXFMH/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:JDVAAENAYT7FOHALX4YDMOXFMH","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":"6e2a8fbdde7d91b5428f2d682e961126b72d3c46a47b2f49b281bda69925cb53","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2016-10-17T09:41:13Z","title_canon_sha256":"ae831cfb01d2e59c3707a8e20ad6108e51fe2aa17397fc37daff192f5123df58"},"schema_version":"1.0","source":{"id":"1610.05030","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1610.05030","created_at":"2026-05-18T00:51:25Z"},{"alias_kind":"arxiv_version","alias_value":"1610.05030v1","created_at":"2026-05-18T00:51:25Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1610.05030","created_at":"2026-05-18T00:51:25Z"},{"alias_kind":"pith_short_12","alias_value":"JDVAAENAYT7F","created_at":"2026-05-18T12:30:25Z"},{"alias_kind":"pith_short_16","alias_value":"JDVAAENAYT7FOHAL","created_at":"2026-05-18T12:30:25Z"},{"alias_kind":"pith_short_8","alias_value":"JDVAAENA","created_at":"2026-05-18T12:30:25Z"}],"graph_snapshots":[{"event_id":"sha256:aab86b230c1ae3eb5c906c4bcc2983b0aec1455bd04c5a785a2ee7312395bc7c","target":"graph","created_at":"2026-05-18T00:51:25Z","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 give an explicit description of nilpotent Chernikov 2-groups with elementary tops and the basis of rank 2.","authors_text":"Andriana I. Plakosh, Yuriy A. Drozd","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2016-10-17T09:41:13Z","title":"On nilpotent Chernikov 2-groups with elementary tops"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1610.05030","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:f3397e5085057ad6383b69f902ea605b1c615db8493b85350b67fe1db517c366","target":"record","created_at":"2026-05-18T00:51:25Z","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":"6e2a8fbdde7d91b5428f2d682e961126b72d3c46a47b2f49b281bda69925cb53","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2016-10-17T09:41:13Z","title_canon_sha256":"ae831cfb01d2e59c3707a8e20ad6108e51fe2aa17397fc37daff192f5123df58"},"schema_version":"1.0","source":{"id":"1610.05030","kind":"arxiv","version":1}},"canonical_sha256":"48ea0011a0c4fe571c0bbf30363ae561dbd4ae10e87c43d1ae1422113457d2bb","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"48ea0011a0c4fe571c0bbf30363ae561dbd4ae10e87c43d1ae1422113457d2bb","first_computed_at":"2026-05-18T00:51:25.172810Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:51:25.172810Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"7Je8si5qFQb7QmAGDBba+gqz4yUJ3bhbKDBacj8ukTze1BhoUBNWniMyv4OtcZNQSREpaQ8ksxrJ97Fd0C0qDw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:51:25.173448Z","signed_message":"canonical_sha256_bytes"},"source_id":"1610.05030","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f3397e5085057ad6383b69f902ea605b1c615db8493b85350b67fe1db517c366","sha256:aab86b230c1ae3eb5c906c4bcc2983b0aec1455bd04c5a785a2ee7312395bc7c"],"state_sha256":"b199f63bc10b42283cfce4fdec100b1691ad68a8553512d634a32ebf3f2d85a8"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Mt28aaH/4oEy1k0L97/LekvR0OfnK6hxStAarYSiRIdZGiJAtNEzVL0jJJe8YM7ruwcI8iXZARL/R7WYHsDWAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-30T07:52:17.040494Z","bundle_sha256":"8a6cd6774bd12a31738d1b2935a9c00bb20141159a52e242da609930e81beb06"}}