{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:UR22OO6TLISDE4PXIRPCN57575","short_pith_number":"pith:UR22OO6T","canonical_record":{"source":{"id":"1108.4396","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.comp-ph","submitted_at":"2011-08-22T19:01:46Z","cross_cats_sorted":[],"title_canon_sha256":"cae02d2815e05a3eb1963e3202f324aeec761db39f1b5dd3e54ca6cbbc8029c2","abstract_canon_sha256":"b4c03c1f11faecb30bed8960b94ef33cc58a800df447653e32f5426b6d58a5b7"},"schema_version":"1.0"},"canonical_sha256":"a475a73bd35a243271f7445e26f7fdff5d8785477d1dc7911011932f6f57c2f4","source":{"kind":"arxiv","id":"1108.4396","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1108.4396","created_at":"2026-05-18T04:14:55Z"},{"alias_kind":"arxiv_version","alias_value":"1108.4396v1","created_at":"2026-05-18T04:14:55Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1108.4396","created_at":"2026-05-18T04:14:55Z"},{"alias_kind":"pith_short_12","alias_value":"UR22OO6TLISD","created_at":"2026-05-18T12:26:42Z"},{"alias_kind":"pith_short_16","alias_value":"UR22OO6TLISDE4PX","created_at":"2026-05-18T12:26:42Z"},{"alias_kind":"pith_short_8","alias_value":"UR22OO6T","created_at":"2026-05-18T12:26:42Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:UR22OO6TLISDE4PXIRPCN57575","target":"record","payload":{"canonical_record":{"source":{"id":"1108.4396","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.comp-ph","submitted_at":"2011-08-22T19:01:46Z","cross_cats_sorted":[],"title_canon_sha256":"cae02d2815e05a3eb1963e3202f324aeec761db39f1b5dd3e54ca6cbbc8029c2","abstract_canon_sha256":"b4c03c1f11faecb30bed8960b94ef33cc58a800df447653e32f5426b6d58a5b7"},"schema_version":"1.0"},"canonical_sha256":"a475a73bd35a243271f7445e26f7fdff5d8785477d1dc7911011932f6f57c2f4","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:14:55.589714Z","signature_b64":"eY/2DucY7jVJeXdvI4uu33qgD849Ur86Bq3ruasikJeQClCCnruA4aTMsmXhJkw+V7ZwZ+GVb/vyIMHM24crDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a475a73bd35a243271f7445e26f7fdff5d8785477d1dc7911011932f6f57c2f4","last_reissued_at":"2026-05-18T04:14:55.589264Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:14:55.589264Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1108.4396","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":"2026-05-18T04:14:55Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Mp/m/xjukabcxrX2gbakv7JvtiZngWQUf5mzgMiudZzM3S/vY/z7nKTGjwlap8I9D5f02f1l4xY6RgunJyCjDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T21:45:08.047048Z"},"content_sha256":"1ad96573b821ba6b765ee449b26d8af626e0fe662b34636c64310b3fc96d16ad","schema_version":"1.0","event_id":"sha256:1ad96573b821ba6b765ee449b26d8af626e0fe662b34636c64310b3fc96d16ad"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:UR22OO6TLISDE4PXIRPCN57575","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Algorithm for structure constants","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"physics.comp-ph","authors_text":"A.F.F. Teixeira, F.M. Paiva","submitted_at":"2011-08-22T19:01:46Z","abstract_excerpt":"In a $n$-dimensional Lie algebra, random numerical values are assigned by computer to $n(n-1)$ especially selected structure constants. An algorithm is then created, which calculates without ambiguity the remaining constants, obeying the Jacobi conditions. Differently from others, this algorithm is suitable even for poor personal computer.\n  -------------\n  En $n$-dimensia algebro de Lie, hazardaj numeraj valoroj estas asignitaj per komputilo al $n(n-1)$ speciale elektitaj konstantoj de strukturo. Tiam algoritmo estas kreita, kalkulante senambigue la ceterajn konstantojn, obeante kondicxojn de"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1108.4396","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":"2026-05-18T04:14:55Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"8sWbUHA8+8tM0KVHh/i6guub+syhxpAOZnCBAlkyAvLGwzbSnmW3HoQJwCt9iE59LJz6D5mP+V0xmAIjMAkFDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T21:45:08.047419Z"},"content_sha256":"12339cdd74d013877c99f000a14e16ce22752395ea218eef67f5ffdfdafb83aa","schema_version":"1.0","event_id":"sha256:12339cdd74d013877c99f000a14e16ce22752395ea218eef67f5ffdfdafb83aa"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/UR22OO6TLISDE4PXIRPCN57575/bundle.json","state_url":"https://pith.science/pith/UR22OO6TLISDE4PXIRPCN57575/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/UR22OO6TLISDE4PXIRPCN57575/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":"2026-06-03T21:45:08Z","links":{"resolver":"https://pith.science/pith/UR22OO6TLISDE4PXIRPCN57575","bundle":"https://pith.science/pith/UR22OO6TLISDE4PXIRPCN57575/bundle.json","state":"https://pith.science/pith/UR22OO6TLISDE4PXIRPCN57575/state.json","well_known_bundle":"https://pith.science/.well-known/pith/UR22OO6TLISDE4PXIRPCN57575/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:UR22OO6TLISDE4PXIRPCN57575","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":"b4c03c1f11faecb30bed8960b94ef33cc58a800df447653e32f5426b6d58a5b7","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.comp-ph","submitted_at":"2011-08-22T19:01:46Z","title_canon_sha256":"cae02d2815e05a3eb1963e3202f324aeec761db39f1b5dd3e54ca6cbbc8029c2"},"schema_version":"1.0","source":{"id":"1108.4396","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1108.4396","created_at":"2026-05-18T04:14:55Z"},{"alias_kind":"arxiv_version","alias_value":"1108.4396v1","created_at":"2026-05-18T04:14:55Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1108.4396","created_at":"2026-05-18T04:14:55Z"},{"alias_kind":"pith_short_12","alias_value":"UR22OO6TLISD","created_at":"2026-05-18T12:26:42Z"},{"alias_kind":"pith_short_16","alias_value":"UR22OO6TLISDE4PX","created_at":"2026-05-18T12:26:42Z"},{"alias_kind":"pith_short_8","alias_value":"UR22OO6T","created_at":"2026-05-18T12:26:42Z"}],"graph_snapshots":[{"event_id":"sha256:12339cdd74d013877c99f000a14e16ce22752395ea218eef67f5ffdfdafb83aa","target":"graph","created_at":"2026-05-18T04:14:55Z","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 a $n$-dimensional Lie algebra, random numerical values are assigned by computer to $n(n-1)$ especially selected structure constants. An algorithm is then created, which calculates without ambiguity the remaining constants, obeying the Jacobi conditions. Differently from others, this algorithm is suitable even for poor personal computer.\n  -------------\n  En $n$-dimensia algebro de Lie, hazardaj numeraj valoroj estas asignitaj per komputilo al $n(n-1)$ speciale elektitaj konstantoj de strukturo. Tiam algoritmo estas kreita, kalkulante senambigue la ceterajn konstantojn, obeante kondicxojn de","authors_text":"A.F.F. Teixeira, F.M. Paiva","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.comp-ph","submitted_at":"2011-08-22T19:01:46Z","title":"Algorithm for structure constants"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1108.4396","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":"sha256:1ad96573b821ba6b765ee449b26d8af626e0fe662b34636c64310b3fc96d16ad","target":"record","created_at":"2026-05-18T04:14:55Z","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":"b4c03c1f11faecb30bed8960b94ef33cc58a800df447653e32f5426b6d58a5b7","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.comp-ph","submitted_at":"2011-08-22T19:01:46Z","title_canon_sha256":"cae02d2815e05a3eb1963e3202f324aeec761db39f1b5dd3e54ca6cbbc8029c2"},"schema_version":"1.0","source":{"id":"1108.4396","kind":"arxiv","version":1}},"canonical_sha256":"a475a73bd35a243271f7445e26f7fdff5d8785477d1dc7911011932f6f57c2f4","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a475a73bd35a243271f7445e26f7fdff5d8785477d1dc7911011932f6f57c2f4","first_computed_at":"2026-05-18T04:14:55.589264Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:14:55.589264Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"eY/2DucY7jVJeXdvI4uu33qgD849Ur86Bq3ruasikJeQClCCnruA4aTMsmXhJkw+V7ZwZ+GVb/vyIMHM24crDw==","signature_status":"signed_v1","signed_at":"2026-05-18T04:14:55.589714Z","signed_message":"canonical_sha256_bytes"},"source_id":"1108.4396","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1ad96573b821ba6b765ee449b26d8af626e0fe662b34636c64310b3fc96d16ad","sha256:12339cdd74d013877c99f000a14e16ce22752395ea218eef67f5ffdfdafb83aa"],"state_sha256":"f678182788c7a181992668e629bc1e8d82aa4c875105b73ae7e345293633e08e"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"N3121AUELyA4G4hPjV9Yg1BTVkPlW6KpNY49h4Gf5Qw+CtbhOy9ouqI7kpzm8HTLlcz7K8B3d6gVq7UAa0GFCw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-03T21:45:08.049383Z","bundle_sha256":"b310d2fee0e4cdd52e1d3054794cca713d064c24966d677321100acfcdd3fd60"}}