{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:7R5PUQ2T74OHT4YEJVG5LOQP2U","short_pith_number":"pith:7R5PUQ2T","canonical_record":{"source":{"id":"1707.06614","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RA","submitted_at":"2017-07-20T17:09:07Z","cross_cats_sorted":[],"title_canon_sha256":"ac1a77aa93c60c6054fbd08d38f1f56256a70f77b7f263ffa40b226376d80dde","abstract_canon_sha256":"a865e7fe394c803d75fb04d97ae16507ff87b32c3869aa4d555a8427e4e31059"},"schema_version":"1.0"},"canonical_sha256":"fc7afa4353ff1c79f3044d4dd5ba0fd534e3a9bf8dcf829da6770edb524be961","source":{"kind":"arxiv","id":"1707.06614","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1707.06614","created_at":"2026-05-18T00:23:56Z"},{"alias_kind":"arxiv_version","alias_value":"1707.06614v3","created_at":"2026-05-18T00:23:56Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1707.06614","created_at":"2026-05-18T00:23:56Z"},{"alias_kind":"pith_short_12","alias_value":"7R5PUQ2T74OH","created_at":"2026-05-18T12:31:05Z"},{"alias_kind":"pith_short_16","alias_value":"7R5PUQ2T74OHT4YE","created_at":"2026-05-18T12:31:05Z"},{"alias_kind":"pith_short_8","alias_value":"7R5PUQ2T","created_at":"2026-05-18T12:31:05Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:7R5PUQ2T74OHT4YEJVG5LOQP2U","target":"record","payload":{"canonical_record":{"source":{"id":"1707.06614","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RA","submitted_at":"2017-07-20T17:09:07Z","cross_cats_sorted":[],"title_canon_sha256":"ac1a77aa93c60c6054fbd08d38f1f56256a70f77b7f263ffa40b226376d80dde","abstract_canon_sha256":"a865e7fe394c803d75fb04d97ae16507ff87b32c3869aa4d555a8427e4e31059"},"schema_version":"1.0"},"canonical_sha256":"fc7afa4353ff1c79f3044d4dd5ba0fd534e3a9bf8dcf829da6770edb524be961","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:23:56.270664Z","signature_b64":"xZFpLuikoQZ9ehl0MzboM61+daPkT8aYAr/0hgO8n8TOGHt/YsMeNWc9vLQ7JNEHJgBngL4NqptUWYErNoPUAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"fc7afa4353ff1c79f3044d4dd5ba0fd534e3a9bf8dcf829da6770edb524be961","last_reissued_at":"2026-05-18T00:23:56.269874Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:23:56.269874Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1707.06614","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":"2026-05-18T00:23:56Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"seZ4OILEvWEz8v0QAEmInWD7JywF4AgV9ztcGy8JNCkh2YL/uHZ8BgZPmmijosAuurSHNBGENvrG+fgoCpOVDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-28T14:31:44.049101Z"},"content_sha256":"1c72d17c7bce3766c444c7dbbc599477d7ad6dd7f11f7fc53ae3982769acd94b","schema_version":"1.0","event_id":"sha256:1c72d17c7bce3766c444c7dbbc599477d7ad6dd7f11f7fc53ae3982769acd94b"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:7R5PUQ2T74OHT4YEJVG5LOQP2U","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Fractal just infinite nil Lie superalgebra of finite width","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.RA","authors_text":"Otto Augusto de Morais Costa, Victor Petrogradsky","submitted_at":"2017-07-20T17:09:07Z","abstract_excerpt":"The Grigorchuk and Gupta-Sidki groups play fundamental role in modern group theory. Their natural analogues are self-similar nil Lie $p$-algebras. In characteristic zero, similar examples of Lie algebras do not exist (Martinez and Zelmanov). The second author recently constructed a 3-generated self-similar nil finely graded Lie superalgebra, which showed that an extension of Martinez-Zelmanov's result for Lie superalgebras of characteristic zero is not valid.\n  Now, we suggest a more handy example. We construct a 2-generated self-similar Lie superalgebra $\\mathbf{R}$ over arbitrary field. It h"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1707.06614","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":"2026-05-18T00:23:56Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"3da4BHKQtdPicaOiHjV1ssZhftJxcTK18yPJY8DtQydTwE+3abh/pl+SeqqljJgnColR1ZpPEx+wCZT13Q56Dw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-28T14:31:44.049456Z"},"content_sha256":"4cac4e64682acd5ffc221aef3eeb6036c16c7975bfdf3d495250a327afbd6e0b","schema_version":"1.0","event_id":"sha256:4cac4e64682acd5ffc221aef3eeb6036c16c7975bfdf3d495250a327afbd6e0b"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/7R5PUQ2T74OHT4YEJVG5LOQP2U/bundle.json","state_url":"https://pith.science/pith/7R5PUQ2T74OHT4YEJVG5LOQP2U/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/7R5PUQ2T74OHT4YEJVG5LOQP2U/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":"2026-06-28T14:31:44Z","links":{"resolver":"https://pith.science/pith/7R5PUQ2T74OHT4YEJVG5LOQP2U","bundle":"https://pith.science/pith/7R5PUQ2T74OHT4YEJVG5LOQP2U/bundle.json","state":"https://pith.science/pith/7R5PUQ2T74OHT4YEJVG5LOQP2U/state.json","well_known_bundle":"https://pith.science/.well-known/pith/7R5PUQ2T74OHT4YEJVG5LOQP2U/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:7R5PUQ2T74OHT4YEJVG5LOQP2U","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":"a865e7fe394c803d75fb04d97ae16507ff87b32c3869aa4d555a8427e4e31059","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RA","submitted_at":"2017-07-20T17:09:07Z","title_canon_sha256":"ac1a77aa93c60c6054fbd08d38f1f56256a70f77b7f263ffa40b226376d80dde"},"schema_version":"1.0","source":{"id":"1707.06614","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1707.06614","created_at":"2026-05-18T00:23:56Z"},{"alias_kind":"arxiv_version","alias_value":"1707.06614v3","created_at":"2026-05-18T00:23:56Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1707.06614","created_at":"2026-05-18T00:23:56Z"},{"alias_kind":"pith_short_12","alias_value":"7R5PUQ2T74OH","created_at":"2026-05-18T12:31:05Z"},{"alias_kind":"pith_short_16","alias_value":"7R5PUQ2T74OHT4YE","created_at":"2026-05-18T12:31:05Z"},{"alias_kind":"pith_short_8","alias_value":"7R5PUQ2T","created_at":"2026-05-18T12:31:05Z"}],"graph_snapshots":[{"event_id":"sha256:4cac4e64682acd5ffc221aef3eeb6036c16c7975bfdf3d495250a327afbd6e0b","target":"graph","created_at":"2026-05-18T00:23:56Z","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":"The Grigorchuk and Gupta-Sidki groups play fundamental role in modern group theory. Their natural analogues are self-similar nil Lie $p$-algebras. In characteristic zero, similar examples of Lie algebras do not exist (Martinez and Zelmanov). The second author recently constructed a 3-generated self-similar nil finely graded Lie superalgebra, which showed that an extension of Martinez-Zelmanov's result for Lie superalgebras of characteristic zero is not valid.\n  Now, we suggest a more handy example. We construct a 2-generated self-similar Lie superalgebra $\\mathbf{R}$ over arbitrary field. It h","authors_text":"Otto Augusto de Morais Costa, Victor Petrogradsky","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RA","submitted_at":"2017-07-20T17:09:07Z","title":"Fractal just infinite nil Lie superalgebra of finite width"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1707.06614","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":"sha256:1c72d17c7bce3766c444c7dbbc599477d7ad6dd7f11f7fc53ae3982769acd94b","target":"record","created_at":"2026-05-18T00:23:56Z","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":"a865e7fe394c803d75fb04d97ae16507ff87b32c3869aa4d555a8427e4e31059","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RA","submitted_at":"2017-07-20T17:09:07Z","title_canon_sha256":"ac1a77aa93c60c6054fbd08d38f1f56256a70f77b7f263ffa40b226376d80dde"},"schema_version":"1.0","source":{"id":"1707.06614","kind":"arxiv","version":3}},"canonical_sha256":"fc7afa4353ff1c79f3044d4dd5ba0fd534e3a9bf8dcf829da6770edb524be961","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"fc7afa4353ff1c79f3044d4dd5ba0fd534e3a9bf8dcf829da6770edb524be961","first_computed_at":"2026-05-18T00:23:56.269874Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:23:56.269874Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"xZFpLuikoQZ9ehl0MzboM61+daPkT8aYAr/0hgO8n8TOGHt/YsMeNWc9vLQ7JNEHJgBngL4NqptUWYErNoPUAA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:23:56.270664Z","signed_message":"canonical_sha256_bytes"},"source_id":"1707.06614","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1c72d17c7bce3766c444c7dbbc599477d7ad6dd7f11f7fc53ae3982769acd94b","sha256:4cac4e64682acd5ffc221aef3eeb6036c16c7975bfdf3d495250a327afbd6e0b"],"state_sha256":"676ef25baf61cbd5e4ece0794e4f26231d36215933d093b5f1e9e9e240a7fae4"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"NSj/x8Yr4h0//IeonwiHSkB+I8Ppoc82R3VdGHO0+Rct83IYxKUKTTbDJ+3SuIbe6dPnCz7D8tpk/m08Oa35Dw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-28T14:31:44.051338Z","bundle_sha256":"f97aa6b804f8975d829673691581b039f329f20ca8bc37fcb3ec0d524aefd7d5"}}