{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2000:OZJTIYVHJVH2YEY2TROOWUMXPZ","short_pith_number":"pith:OZJTIYVH","canonical_record":{"source":{"id":"hep-th/0006246","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"2000-06-30T15:09:24Z","cross_cats_sorted":[],"title_canon_sha256":"b1ad76d3cd96dad7a8edaec9b16cff3d9f871615d00804cc02c0f947fd585b64","abstract_canon_sha256":"d75efbb80983733492142ca2f67a651ebe5843e73b9c678ea2d11e47f72631fb"},"schema_version":"1.0"},"canonical_sha256":"76533462a74d4fac131a9c5ceb51977e431bde790a0e9dff301719115dd817a3","source":{"kind":"arxiv","id":"hep-th/0006246","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/0006246","created_at":"2026-05-18T04:13:17Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/0006246v1","created_at":"2026-05-18T04:13:17Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/0006246","created_at":"2026-05-18T04:13:17Z"},{"alias_kind":"pith_short_12","alias_value":"OZJTIYVHJVH2","created_at":"2026-05-18T12:25:50Z"},{"alias_kind":"pith_short_16","alias_value":"OZJTIYVHJVH2YEY2","created_at":"2026-05-18T12:25:50Z"},{"alias_kind":"pith_short_8","alias_value":"OZJTIYVH","created_at":"2026-05-18T12:25:50Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2000:OZJTIYVHJVH2YEY2TROOWUMXPZ","target":"record","payload":{"canonical_record":{"source":{"id":"hep-th/0006246","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"2000-06-30T15:09:24Z","cross_cats_sorted":[],"title_canon_sha256":"b1ad76d3cd96dad7a8edaec9b16cff3d9f871615d00804cc02c0f947fd585b64","abstract_canon_sha256":"d75efbb80983733492142ca2f67a651ebe5843e73b9c678ea2d11e47f72631fb"},"schema_version":"1.0"},"canonical_sha256":"76533462a74d4fac131a9c5ceb51977e431bde790a0e9dff301719115dd817a3","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:13:17.093974Z","signature_b64":"m0MaqxSL0MmiRzr8I9pv3O2gBeuD84lbADXba7yqqgm8QRufBbgK1wjmtZd4f+fjq9nay+9q8dukAniR4QX2AA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"76533462a74d4fac131a9c5ceb51977e431bde790a0e9dff301719115dd817a3","last_reissued_at":"2026-05-18T04:13:17.093515Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:13:17.093515Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"hep-th/0006246","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":"2026-05-18T04:13:17Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"lRDRMQAyGoRYjRkGrNG1obwYSe4Qpm0CrKB1T4zJzEOzMyR6T6gNBCjlfuPoGoerHmbdaZH8bNuRe/YUCW7aAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T14:27:11.884781Z"},"content_sha256":"fc293b1e4f139921861d0d8f0a386ec43d4a307e1f53d2587a92018956c5d3ba","schema_version":"1.0","event_id":"sha256:fc293b1e4f139921861d0d8f0a386ec43d4a307e1f53d2587a92018956c5d3ba"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2000:OZJTIYVHJVH2YEY2TROOWUMXPZ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Enveloping algebra valued gauge transformations for non-abelian gauge groups on non-commutative spaces","license":"","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Branislav Jurco, Julius Wess, Peter Schupp, Stefan Schraml","submitted_at":"2000-06-30T15:09:24Z","abstract_excerpt":"An enveloping algebra valued gauge field is constructed, its components are functions of the Lie algebra valued gauge field and can be constructed with the Seiberg-Witten map. This allows the formulation of a dynamics for a finite number of gauge field components on non-commutative spaces."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/0006246","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":"2026-05-18T04:13:17Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"3AK3PAL5lUYzA3uOsLblCWTzZ0HR2evHJKPzP39nwzi2TR1vzBp0E5BJQOk8hQj0SuIGpiVQeVo8QEnHeCt4BQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T14:27:11.885449Z"},"content_sha256":"5f9b9fb3751e553ef2230f19a540a4f098f0d30ce3abf4c490952aeda6a2d4bd","schema_version":"1.0","event_id":"sha256:5f9b9fb3751e553ef2230f19a540a4f098f0d30ce3abf4c490952aeda6a2d4bd"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/OZJTIYVHJVH2YEY2TROOWUMXPZ/bundle.json","state_url":"https://pith.science/pith/OZJTIYVHJVH2YEY2TROOWUMXPZ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/OZJTIYVHJVH2YEY2TROOWUMXPZ/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":"2026-05-26T14:27:11Z","links":{"resolver":"https://pith.science/pith/OZJTIYVHJVH2YEY2TROOWUMXPZ","bundle":"https://pith.science/pith/OZJTIYVHJVH2YEY2TROOWUMXPZ/bundle.json","state":"https://pith.science/pith/OZJTIYVHJVH2YEY2TROOWUMXPZ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/OZJTIYVHJVH2YEY2TROOWUMXPZ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2000:OZJTIYVHJVH2YEY2TROOWUMXPZ","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":"d75efbb80983733492142ca2f67a651ebe5843e73b9c678ea2d11e47f72631fb","cross_cats_sorted":[],"license":"","primary_cat":"hep-th","submitted_at":"2000-06-30T15:09:24Z","title_canon_sha256":"b1ad76d3cd96dad7a8edaec9b16cff3d9f871615d00804cc02c0f947fd585b64"},"schema_version":"1.0","source":{"id":"hep-th/0006246","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/0006246","created_at":"2026-05-18T04:13:17Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/0006246v1","created_at":"2026-05-18T04:13:17Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/0006246","created_at":"2026-05-18T04:13:17Z"},{"alias_kind":"pith_short_12","alias_value":"OZJTIYVHJVH2","created_at":"2026-05-18T12:25:50Z"},{"alias_kind":"pith_short_16","alias_value":"OZJTIYVHJVH2YEY2","created_at":"2026-05-18T12:25:50Z"},{"alias_kind":"pith_short_8","alias_value":"OZJTIYVH","created_at":"2026-05-18T12:25:50Z"}],"graph_snapshots":[{"event_id":"sha256:5f9b9fb3751e553ef2230f19a540a4f098f0d30ce3abf4c490952aeda6a2d4bd","target":"graph","created_at":"2026-05-18T04:13:17Z","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":"An enveloping algebra valued gauge field is constructed, its components are functions of the Lie algebra valued gauge field and can be constructed with the Seiberg-Witten map. This allows the formulation of a dynamics for a finite number of gauge field components on non-commutative spaces.","authors_text":"Branislav Jurco, Julius Wess, Peter Schupp, Stefan Schraml","cross_cats":[],"headline":"","license":"","primary_cat":"hep-th","submitted_at":"2000-06-30T15:09:24Z","title":"Enveloping algebra valued gauge transformations for non-abelian gauge groups on non-commutative spaces"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/0006246","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:fc293b1e4f139921861d0d8f0a386ec43d4a307e1f53d2587a92018956c5d3ba","target":"record","created_at":"2026-05-18T04:13:17Z","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":"d75efbb80983733492142ca2f67a651ebe5843e73b9c678ea2d11e47f72631fb","cross_cats_sorted":[],"license":"","primary_cat":"hep-th","submitted_at":"2000-06-30T15:09:24Z","title_canon_sha256":"b1ad76d3cd96dad7a8edaec9b16cff3d9f871615d00804cc02c0f947fd585b64"},"schema_version":"1.0","source":{"id":"hep-th/0006246","kind":"arxiv","version":1}},"canonical_sha256":"76533462a74d4fac131a9c5ceb51977e431bde790a0e9dff301719115dd817a3","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"76533462a74d4fac131a9c5ceb51977e431bde790a0e9dff301719115dd817a3","first_computed_at":"2026-05-18T04:13:17.093515Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:13:17.093515Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"m0MaqxSL0MmiRzr8I9pv3O2gBeuD84lbADXba7yqqgm8QRufBbgK1wjmtZd4f+fjq9nay+9q8dukAniR4QX2AA==","signature_status":"signed_v1","signed_at":"2026-05-18T04:13:17.093974Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-th/0006246","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:fc293b1e4f139921861d0d8f0a386ec43d4a307e1f53d2587a92018956c5d3ba","sha256:5f9b9fb3751e553ef2230f19a540a4f098f0d30ce3abf4c490952aeda6a2d4bd"],"state_sha256":"a78bb7adb4c1313ca6c55a13b28b3cd18f489b222ca71120dc0b423c3cb47dd7"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"cboA3fYlBwB0/Bu/pgkgp9gSZlyPIe73lpzAum9r9uaWzjgXSHhsPsYW/80IpmXr7k+z5hp/huA51Pry4NjXDQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-26T14:27:11.888802Z","bundle_sha256":"cd32b281a56d189b4025e72893dd0a38a47675cfe2e45843653bc15c49a0cd4a"}}