{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:GJVKUSEVJJKLG3B7WUGUU66MIM","short_pith_number":"pith:GJVKUSEV","canonical_record":{"source":{"id":"1402.5980","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2014-02-24T21:04:41Z","cross_cats_sorted":[],"title_canon_sha256":"21bc31ab0f324c2ce86e0ce2d7a6c9700b1ce57037876f66f597880a089c884c","abstract_canon_sha256":"b289f843d89e9662ed8c7479b874f950c86f484be96cc0504fc2e32c758a7ca5"},"schema_version":"1.0"},"canonical_sha256":"326aaa48954a54b36c3fb50d4a7bcc4303301a7b3ca2b620a892b61ec9e0f88a","source":{"kind":"arxiv","id":"1402.5980","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1402.5980","created_at":"2026-05-18T01:22:43Z"},{"alias_kind":"arxiv_version","alias_value":"1402.5980v1","created_at":"2026-05-18T01:22:43Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1402.5980","created_at":"2026-05-18T01:22:43Z"},{"alias_kind":"pith_short_12","alias_value":"GJVKUSEVJJKL","created_at":"2026-05-18T12:28:30Z"},{"alias_kind":"pith_short_16","alias_value":"GJVKUSEVJJKLG3B7","created_at":"2026-05-18T12:28:30Z"},{"alias_kind":"pith_short_8","alias_value":"GJVKUSEV","created_at":"2026-05-18T12:28:30Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:GJVKUSEVJJKLG3B7WUGUU66MIM","target":"record","payload":{"canonical_record":{"source":{"id":"1402.5980","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2014-02-24T21:04:41Z","cross_cats_sorted":[],"title_canon_sha256":"21bc31ab0f324c2ce86e0ce2d7a6c9700b1ce57037876f66f597880a089c884c","abstract_canon_sha256":"b289f843d89e9662ed8c7479b874f950c86f484be96cc0504fc2e32c758a7ca5"},"schema_version":"1.0"},"canonical_sha256":"326aaa48954a54b36c3fb50d4a7bcc4303301a7b3ca2b620a892b61ec9e0f88a","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:22:43.757371Z","signature_b64":"GPoIvIczoGlY2exsJ9AKKSq6yTSqDjmgXN+Zr5GkRhPYhd0ouL2CERBfsTup1Jtr+v62rLSpwqm0u3m9JmwlAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"326aaa48954a54b36c3fb50d4a7bcc4303301a7b3ca2b620a892b61ec9e0f88a","last_reissued_at":"2026-05-18T01:22:43.756877Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:22:43.756877Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1402.5980","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":"2026-05-18T01:22:43Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"D5NmbPO/ptILBzUkTWV75/nWuaTgj9GvTvccFhxDyRYn0FsaLrs4Y/P/5+6gpbk5Sa9m6eiD1TChmrULg+kjBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T10:48:28.703584Z"},"content_sha256":"49294bf9e6f1b796ff44252f3f524623ac8a6ae6e4ea35950099b208aa0c419c","schema_version":"1.0","event_id":"sha256:49294bf9e6f1b796ff44252f3f524623ac8a6ae6e4ea35950099b208aa0c419c"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:GJVKUSEVJJKLG3B7WUGUU66MIM","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Gauge Fields on Non-Commutative Spaces and Renormalization","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Daniel N. Blaschke","submitted_at":"2014-02-24T21:04:41Z","abstract_excerpt":"Constructing renormalizable models on non-commutative spaces constitutes a big challenge. Only few examples of renormalizable theories are known, such as the scalar Grosse-Wulkenhaar model. Gauge fields are even more difficult, since new renormalization techniques are required which are compatible with the inherently non-local setting on the one hand, and also allow to properly treat the gauge symmetry on the other hand. In this proceeding (which is based on my talk given at the ``Workshop on Noncommutative Field Theory and Gravity'' in Corfu/Greece, September 8 -- 15, 2013), I focus on this l"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1402.5980","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":"2026-05-18T01:22:43Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"kXybwEQ8j262lpVntKvL5J9uBOg19oXxVEhNp8QBechllqWMqPZtP9NhuakbvuBbgclu8cPAtlMJSIKq4tO1Bg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T10:48:28.703941Z"},"content_sha256":"b2a8efa839fd9167d9396090797add1ae167a62fdfeeff40db3b5ea495fca778","schema_version":"1.0","event_id":"sha256:b2a8efa839fd9167d9396090797add1ae167a62fdfeeff40db3b5ea495fca778"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/GJVKUSEVJJKLG3B7WUGUU66MIM/bundle.json","state_url":"https://pith.science/pith/GJVKUSEVJJKLG3B7WUGUU66MIM/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/GJVKUSEVJJKLG3B7WUGUU66MIM/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":"2026-05-30T10:48:28Z","links":{"resolver":"https://pith.science/pith/GJVKUSEVJJKLG3B7WUGUU66MIM","bundle":"https://pith.science/pith/GJVKUSEVJJKLG3B7WUGUU66MIM/bundle.json","state":"https://pith.science/pith/GJVKUSEVJJKLG3B7WUGUU66MIM/state.json","well_known_bundle":"https://pith.science/.well-known/pith/GJVKUSEVJJKLG3B7WUGUU66MIM/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:GJVKUSEVJJKLG3B7WUGUU66MIM","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":"b289f843d89e9662ed8c7479b874f950c86f484be96cc0504fc2e32c758a7ca5","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2014-02-24T21:04:41Z","title_canon_sha256":"21bc31ab0f324c2ce86e0ce2d7a6c9700b1ce57037876f66f597880a089c884c"},"schema_version":"1.0","source":{"id":"1402.5980","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1402.5980","created_at":"2026-05-18T01:22:43Z"},{"alias_kind":"arxiv_version","alias_value":"1402.5980v1","created_at":"2026-05-18T01:22:43Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1402.5980","created_at":"2026-05-18T01:22:43Z"},{"alias_kind":"pith_short_12","alias_value":"GJVKUSEVJJKL","created_at":"2026-05-18T12:28:30Z"},{"alias_kind":"pith_short_16","alias_value":"GJVKUSEVJJKLG3B7","created_at":"2026-05-18T12:28:30Z"},{"alias_kind":"pith_short_8","alias_value":"GJVKUSEV","created_at":"2026-05-18T12:28:30Z"}],"graph_snapshots":[{"event_id":"sha256:b2a8efa839fd9167d9396090797add1ae167a62fdfeeff40db3b5ea495fca778","target":"graph","created_at":"2026-05-18T01:22:43Z","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":"Constructing renormalizable models on non-commutative spaces constitutes a big challenge. Only few examples of renormalizable theories are known, such as the scalar Grosse-Wulkenhaar model. Gauge fields are even more difficult, since new renormalization techniques are required which are compatible with the inherently non-local setting on the one hand, and also allow to properly treat the gauge symmetry on the other hand. In this proceeding (which is based on my talk given at the ``Workshop on Noncommutative Field Theory and Gravity'' in Corfu/Greece, September 8 -- 15, 2013), I focus on this l","authors_text":"Daniel N. Blaschke","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2014-02-24T21:04:41Z","title":"Gauge Fields on Non-Commutative Spaces and Renormalization"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1402.5980","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":"sha256:49294bf9e6f1b796ff44252f3f524623ac8a6ae6e4ea35950099b208aa0c419c","target":"record","created_at":"2026-05-18T01:22:43Z","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":"b289f843d89e9662ed8c7479b874f950c86f484be96cc0504fc2e32c758a7ca5","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2014-02-24T21:04:41Z","title_canon_sha256":"21bc31ab0f324c2ce86e0ce2d7a6c9700b1ce57037876f66f597880a089c884c"},"schema_version":"1.0","source":{"id":"1402.5980","kind":"arxiv","version":1}},"canonical_sha256":"326aaa48954a54b36c3fb50d4a7bcc4303301a7b3ca2b620a892b61ec9e0f88a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"326aaa48954a54b36c3fb50d4a7bcc4303301a7b3ca2b620a892b61ec9e0f88a","first_computed_at":"2026-05-18T01:22:43.756877Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:22:43.756877Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"GPoIvIczoGlY2exsJ9AKKSq6yTSqDjmgXN+Zr5GkRhPYhd0ouL2CERBfsTup1Jtr+v62rLSpwqm0u3m9JmwlAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:22:43.757371Z","signed_message":"canonical_sha256_bytes"},"source_id":"1402.5980","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:49294bf9e6f1b796ff44252f3f524623ac8a6ae6e4ea35950099b208aa0c419c","sha256:b2a8efa839fd9167d9396090797add1ae167a62fdfeeff40db3b5ea495fca778"],"state_sha256":"b24a39d99431ff395ec0afc5f45fb04f5f2396d2abde1fad8ff4be2461827864"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"annF1AZQJxYLGZSiTu+UT3PLBZhdtGWr8tuKb0mvzMSTqqy9LZ4/AIeFhAEmLwwPl2LW2QWEHd7FgoeFAAkiBQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-30T10:48:28.706122Z","bundle_sha256":"c79c8da35e17429dd23ce2bac5631897b4d87b3f3882a38b6be604812a2d8f44"}}