{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2010:6XHW2ELMF6SLK4SPJKFTVML4SO","short_pith_number":"pith:6XHW2ELM","canonical_record":{"source":{"id":"1008.5101","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2010-08-30T15:42:46Z","cross_cats_sorted":["hep-th","math.MP"],"title_canon_sha256":"f88668a8cadd38f01629e52aca61c604132ec909860a45b4a45e0deb5776173b","abstract_canon_sha256":"eb5d8b5782fc06fa1ea2241178cdad62e548f2b3d79bf5ffd4f1784e7c383823"},"schema_version":"1.0"},"canonical_sha256":"f5cf6d116c2fa4b5724f4a8b3ab17c938e0bcfbff9287d76454465e644e06129","source":{"kind":"arxiv","id":"1008.5101","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1008.5101","created_at":"2026-05-18T04:25:49Z"},{"alias_kind":"arxiv_version","alias_value":"1008.5101v1","created_at":"2026-05-18T04:25:49Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1008.5101","created_at":"2026-05-18T04:25:49Z"},{"alias_kind":"pith_short_12","alias_value":"6XHW2ELMF6SL","created_at":"2026-05-18T12:26:04Z"},{"alias_kind":"pith_short_16","alias_value":"6XHW2ELMF6SLK4SP","created_at":"2026-05-18T12:26:04Z"},{"alias_kind":"pith_short_8","alias_value":"6XHW2ELM","created_at":"2026-05-18T12:26:04Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2010:6XHW2ELMF6SLK4SPJKFTVML4SO","target":"record","payload":{"canonical_record":{"source":{"id":"1008.5101","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2010-08-30T15:42:46Z","cross_cats_sorted":["hep-th","math.MP"],"title_canon_sha256":"f88668a8cadd38f01629e52aca61c604132ec909860a45b4a45e0deb5776173b","abstract_canon_sha256":"eb5d8b5782fc06fa1ea2241178cdad62e548f2b3d79bf5ffd4f1784e7c383823"},"schema_version":"1.0"},"canonical_sha256":"f5cf6d116c2fa4b5724f4a8b3ab17c938e0bcfbff9287d76454465e644e06129","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:25:49.412426Z","signature_b64":"Vte594Vbx6aC+fIsu+GZHNn1GJW6V9gMunpg+z+7iRKwHmryO9Me0Zax15IOwKcE1oP5T1iThRaCU2f5yazUCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f5cf6d116c2fa4b5724f4a8b3ab17c938e0bcfbff9287d76454465e644e06129","last_reissued_at":"2026-05-18T04:25:49.411790Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:25:49.411790Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1008.5101","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":"2026-05-18T04:25:49Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Jc77HxzzTpVZxI/9T0eClVbG2Yf5XVIsKcDE3y22LsVZfJQn55dduGUicdCnRRIw8HMdkwhhyerShNSl5DhUAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T22:55:12.609860Z"},"content_sha256":"3076e2449c2015dadac8843148f6586a1c7741f65a105a2c33beb8343903d130","schema_version":"1.0","event_id":"sha256:3076e2449c2015dadac8843148f6586a1c7741f65a105a2c33beb8343903d130"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2010:6XHW2ELMF6SLK4SPJKFTVML4SO","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"The noncommutative geometry of Yang-Mills fields","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th","math.MP"],"primary_cat":"math-ph","authors_text":"Jord Boeijink, Walter D. van Suijlekom","submitted_at":"2010-08-30T15:42:46Z","abstract_excerpt":"We generalize to topologically non-trivial gauge configurations the description of the Einstein-Yang-Mills system in terms of a noncommutative manifold, as was done previously by Chamseddine and Connes. Starting with an algebra bundle and a connection thereon, we obtain a spectral triple, a construction that can be related to the internal Kasparov product in unbounded KK-theory. In the case that the algebra bundle is an endomorphism bundle, we construct a PSU(N)-principal bundle for which it is an associated bundle. The so-called internal fluctuations of the spectral triple are parametrized by"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1008.5101","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":"2026-05-18T04:25:49Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"kUYcAPDQRfAG4kJbSbcl4vPshxeIpVwY+LV0HNpnIimb7QyrcL9H327ncGgDhJPXvxahRz22NodcU+3CCbLxCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T22:55:12.610204Z"},"content_sha256":"870736cc664b3e142a172436deefbdc85badf3a5279e2de83e0ea59b6fa5e7aa","schema_version":"1.0","event_id":"sha256:870736cc664b3e142a172436deefbdc85badf3a5279e2de83e0ea59b6fa5e7aa"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/6XHW2ELMF6SLK4SPJKFTVML4SO/bundle.json","state_url":"https://pith.science/pith/6XHW2ELMF6SLK4SPJKFTVML4SO/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/6XHW2ELMF6SLK4SPJKFTVML4SO/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":"2026-06-02T22:55:12Z","links":{"resolver":"https://pith.science/pith/6XHW2ELMF6SLK4SPJKFTVML4SO","bundle":"https://pith.science/pith/6XHW2ELMF6SLK4SPJKFTVML4SO/bundle.json","state":"https://pith.science/pith/6XHW2ELMF6SLK4SPJKFTVML4SO/state.json","well_known_bundle":"https://pith.science/.well-known/pith/6XHW2ELMF6SLK4SPJKFTVML4SO/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:6XHW2ELMF6SLK4SPJKFTVML4SO","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":"eb5d8b5782fc06fa1ea2241178cdad62e548f2b3d79bf5ffd4f1784e7c383823","cross_cats_sorted":["hep-th","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2010-08-30T15:42:46Z","title_canon_sha256":"f88668a8cadd38f01629e52aca61c604132ec909860a45b4a45e0deb5776173b"},"schema_version":"1.0","source":{"id":"1008.5101","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1008.5101","created_at":"2026-05-18T04:25:49Z"},{"alias_kind":"arxiv_version","alias_value":"1008.5101v1","created_at":"2026-05-18T04:25:49Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1008.5101","created_at":"2026-05-18T04:25:49Z"},{"alias_kind":"pith_short_12","alias_value":"6XHW2ELMF6SL","created_at":"2026-05-18T12:26:04Z"},{"alias_kind":"pith_short_16","alias_value":"6XHW2ELMF6SLK4SP","created_at":"2026-05-18T12:26:04Z"},{"alias_kind":"pith_short_8","alias_value":"6XHW2ELM","created_at":"2026-05-18T12:26:04Z"}],"graph_snapshots":[{"event_id":"sha256:870736cc664b3e142a172436deefbdc85badf3a5279e2de83e0ea59b6fa5e7aa","target":"graph","created_at":"2026-05-18T04:25:49Z","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":"We generalize to topologically non-trivial gauge configurations the description of the Einstein-Yang-Mills system in terms of a noncommutative manifold, as was done previously by Chamseddine and Connes. Starting with an algebra bundle and a connection thereon, we obtain a spectral triple, a construction that can be related to the internal Kasparov product in unbounded KK-theory. In the case that the algebra bundle is an endomorphism bundle, we construct a PSU(N)-principal bundle for which it is an associated bundle. The so-called internal fluctuations of the spectral triple are parametrized by","authors_text":"Jord Boeijink, Walter D. van Suijlekom","cross_cats":["hep-th","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2010-08-30T15:42:46Z","title":"The noncommutative geometry of Yang-Mills fields"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1008.5101","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":"sha256:3076e2449c2015dadac8843148f6586a1c7741f65a105a2c33beb8343903d130","target":"record","created_at":"2026-05-18T04:25:49Z","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":"eb5d8b5782fc06fa1ea2241178cdad62e548f2b3d79bf5ffd4f1784e7c383823","cross_cats_sorted":["hep-th","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2010-08-30T15:42:46Z","title_canon_sha256":"f88668a8cadd38f01629e52aca61c604132ec909860a45b4a45e0deb5776173b"},"schema_version":"1.0","source":{"id":"1008.5101","kind":"arxiv","version":1}},"canonical_sha256":"f5cf6d116c2fa4b5724f4a8b3ab17c938e0bcfbff9287d76454465e644e06129","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f5cf6d116c2fa4b5724f4a8b3ab17c938e0bcfbff9287d76454465e644e06129","first_computed_at":"2026-05-18T04:25:49.411790Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:25:49.411790Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Vte594Vbx6aC+fIsu+GZHNn1GJW6V9gMunpg+z+7iRKwHmryO9Me0Zax15IOwKcE1oP5T1iThRaCU2f5yazUCw==","signature_status":"signed_v1","signed_at":"2026-05-18T04:25:49.412426Z","signed_message":"canonical_sha256_bytes"},"source_id":"1008.5101","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3076e2449c2015dadac8843148f6586a1c7741f65a105a2c33beb8343903d130","sha256:870736cc664b3e142a172436deefbdc85badf3a5279e2de83e0ea59b6fa5e7aa"],"state_sha256":"39cd19e3425522e9ef8af04339bee70e38893c5248b034cff90551354dbee2a7"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"45Yf9nZj5TIDF+CHXCVPmT9OPtS3eg/YPOqUNf+8GjEfKEZPAmG3weFEIlP75nbnlvdniZ/PRTBaKu1tMFhnDQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-02T22:55:12.612124Z","bundle_sha256":"2352db93c71cbf71f9aae0740214b5f697c235918642951e09a35b68b0b3ac9e"}}