{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:NPHJXSIXNUO355P4X44XNAJGFO","short_pith_number":"pith:NPHJXSIX","canonical_record":{"source":{"id":"1708.05005","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RA","submitted_at":"2017-08-16T08:40:52Z","cross_cats_sorted":["math.AT","math.CT","math.FA","math.GR"],"title_canon_sha256":"8557585dc9d054ce4bdb3ecfe8bf28e418dd51cc39b0486830d89e2d006ba71c","abstract_canon_sha256":"edd607e9deb51e390f59c56de687be4ef0a0dc4c85ca9bb1831c61e5c75e8206"},"schema_version":"1.0"},"canonical_sha256":"6bce9bc9176d1dbef5fcbf397681262b905321a25796df5a709a7bb5cbd95f67","source":{"kind":"arxiv","id":"1708.05005","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1708.05005","created_at":"2026-05-18T00:37:54Z"},{"alias_kind":"arxiv_version","alias_value":"1708.05005v1","created_at":"2026-05-18T00:37:54Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1708.05005","created_at":"2026-05-18T00:37:54Z"},{"alias_kind":"pith_short_12","alias_value":"NPHJXSIXNUO3","created_at":"2026-05-18T12:31:34Z"},{"alias_kind":"pith_short_16","alias_value":"NPHJXSIXNUO355P4","created_at":"2026-05-18T12:31:34Z"},{"alias_kind":"pith_short_8","alias_value":"NPHJXSIX","created_at":"2026-05-18T12:31:34Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:NPHJXSIXNUO355P4X44XNAJGFO","target":"record","payload":{"canonical_record":{"source":{"id":"1708.05005","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RA","submitted_at":"2017-08-16T08:40:52Z","cross_cats_sorted":["math.AT","math.CT","math.FA","math.GR"],"title_canon_sha256":"8557585dc9d054ce4bdb3ecfe8bf28e418dd51cc39b0486830d89e2d006ba71c","abstract_canon_sha256":"edd607e9deb51e390f59c56de687be4ef0a0dc4c85ca9bb1831c61e5c75e8206"},"schema_version":"1.0"},"canonical_sha256":"6bce9bc9176d1dbef5fcbf397681262b905321a25796df5a709a7bb5cbd95f67","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:37:54.102444Z","signature_b64":"FshokzuX5m52AKt4IeDSmBk+SegxRSg9ZpLAo370KiCxcpq8iHS9QNbmgeG0Yi61QKUiPbenIpTedQYeeMTlBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"6bce9bc9176d1dbef5fcbf397681262b905321a25796df5a709a7bb5cbd95f67","last_reissued_at":"2026-05-18T00:37:54.101946Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:37:54.101946Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1708.05005","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":"2026-05-18T00:37:54Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"zDgYCjZhRyhCqePoZ6Pxl/lUS3FRsD8R8DHnOLWqVLBd7NpF2qyaFph6elDD9XD9nVudgd0wzQJKRtY+aoaiDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T12:09:01.991438Z"},"content_sha256":"d5c0e96663384c1d1f5614aac9d09d0783b190bc6896845f26641de8ef0a9dd3","schema_version":"1.0","event_id":"sha256:d5c0e96663384c1d1f5614aac9d09d0783b190bc6896845f26641de8ef0a9dd3"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:NPHJXSIXNUO355P4X44XNAJGFO","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Derivations of Group Algebras","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AT","math.CT","math.FA","math.GR"],"primary_cat":"math.RA","authors_text":"A.A. Arutyunov, A.I. Shtern, A.S. Mishchenko","submitted_at":"2017-08-16T08:40:52Z","abstract_excerpt":"In the paper, a method of describing the outer derivations of the group algebra of a finitely presentable group is given. The description of derivations is given in terms of characters of the groupoid of the adjoint action of the group."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1708.05005","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":"2026-05-18T00:37:54Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"mNfSin35ldx0tJif6PlLrvvmPXMsGrEAKGrVKvelMz9Gz3qyXv+aSN2mX5CqvPsqr5DzhpG3PzXN/E6ihvKZDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T12:09:01.991776Z"},"content_sha256":"3876b8c4f295ed21d44c69b1746c20bd037d75124c5f9acef7186ea12cc40c2c","schema_version":"1.0","event_id":"sha256:3876b8c4f295ed21d44c69b1746c20bd037d75124c5f9acef7186ea12cc40c2c"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/NPHJXSIXNUO355P4X44XNAJGFO/bundle.json","state_url":"https://pith.science/pith/NPHJXSIXNUO355P4X44XNAJGFO/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/NPHJXSIXNUO355P4X44XNAJGFO/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":"2026-06-02T12:09:01Z","links":{"resolver":"https://pith.science/pith/NPHJXSIXNUO355P4X44XNAJGFO","bundle":"https://pith.science/pith/NPHJXSIXNUO355P4X44XNAJGFO/bundle.json","state":"https://pith.science/pith/NPHJXSIXNUO355P4X44XNAJGFO/state.json","well_known_bundle":"https://pith.science/.well-known/pith/NPHJXSIXNUO355P4X44XNAJGFO/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:NPHJXSIXNUO355P4X44XNAJGFO","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":"edd607e9deb51e390f59c56de687be4ef0a0dc4c85ca9bb1831c61e5c75e8206","cross_cats_sorted":["math.AT","math.CT","math.FA","math.GR"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RA","submitted_at":"2017-08-16T08:40:52Z","title_canon_sha256":"8557585dc9d054ce4bdb3ecfe8bf28e418dd51cc39b0486830d89e2d006ba71c"},"schema_version":"1.0","source":{"id":"1708.05005","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1708.05005","created_at":"2026-05-18T00:37:54Z"},{"alias_kind":"arxiv_version","alias_value":"1708.05005v1","created_at":"2026-05-18T00:37:54Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1708.05005","created_at":"2026-05-18T00:37:54Z"},{"alias_kind":"pith_short_12","alias_value":"NPHJXSIXNUO3","created_at":"2026-05-18T12:31:34Z"},{"alias_kind":"pith_short_16","alias_value":"NPHJXSIXNUO355P4","created_at":"2026-05-18T12:31:34Z"},{"alias_kind":"pith_short_8","alias_value":"NPHJXSIX","created_at":"2026-05-18T12:31:34Z"}],"graph_snapshots":[{"event_id":"sha256:3876b8c4f295ed21d44c69b1746c20bd037d75124c5f9acef7186ea12cc40c2c","target":"graph","created_at":"2026-05-18T00:37:54Z","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":"In the paper, a method of describing the outer derivations of the group algebra of a finitely presentable group is given. The description of derivations is given in terms of characters of the groupoid of the adjoint action of the group.","authors_text":"A.A. Arutyunov, A.I. Shtern, A.S. Mishchenko","cross_cats":["math.AT","math.CT","math.FA","math.GR"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RA","submitted_at":"2017-08-16T08:40:52Z","title":"Derivations of Group Algebras"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1708.05005","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:d5c0e96663384c1d1f5614aac9d09d0783b190bc6896845f26641de8ef0a9dd3","target":"record","created_at":"2026-05-18T00:37:54Z","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":"edd607e9deb51e390f59c56de687be4ef0a0dc4c85ca9bb1831c61e5c75e8206","cross_cats_sorted":["math.AT","math.CT","math.FA","math.GR"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RA","submitted_at":"2017-08-16T08:40:52Z","title_canon_sha256":"8557585dc9d054ce4bdb3ecfe8bf28e418dd51cc39b0486830d89e2d006ba71c"},"schema_version":"1.0","source":{"id":"1708.05005","kind":"arxiv","version":1}},"canonical_sha256":"6bce9bc9176d1dbef5fcbf397681262b905321a25796df5a709a7bb5cbd95f67","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6bce9bc9176d1dbef5fcbf397681262b905321a25796df5a709a7bb5cbd95f67","first_computed_at":"2026-05-18T00:37:54.101946Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:37:54.101946Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"FshokzuX5m52AKt4IeDSmBk+SegxRSg9ZpLAo370KiCxcpq8iHS9QNbmgeG0Yi61QKUiPbenIpTedQYeeMTlBw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:37:54.102444Z","signed_message":"canonical_sha256_bytes"},"source_id":"1708.05005","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d5c0e96663384c1d1f5614aac9d09d0783b190bc6896845f26641de8ef0a9dd3","sha256:3876b8c4f295ed21d44c69b1746c20bd037d75124c5f9acef7186ea12cc40c2c"],"state_sha256":"43224d5d58acff4dceb59b6dd3802b41fc833133b60e668b92c48e7d8fa9ecd9"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"/zEDjS2w/f22t7LVd7meK7fzMVb7+rmxmlMq16jWzmja8grDKRf54ATKxM1bvD4woX7LdSdXXoNgKmyBuV7CAQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-02T12:09:01.993658Z","bundle_sha256":"4779a39334e518f6a7498b4d597015961362710a35417ca95940d021ed163ed9"}}