{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2000:VF57BQW4MS2DDLDGTKHAPF2PWS","short_pith_number":"pith:VF57BQW4","canonical_record":{"source":{"id":"hep-th/0005210","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"2000-05-23T16:19:28Z","cross_cats_sorted":[],"title_canon_sha256":"fe0c6ba5048bc4a363fc6f1ad6e88b5c33e0fc206e3cc2394bb96d0010963125","abstract_canon_sha256":"8aef90d9858a375997ec5df5f93689ba53269d8f8b8f6b1823016ffb2fb41693"},"schema_version":"1.0"},"canonical_sha256":"a97bf0c2dc64b431ac669a8e07974fb490d8c92a8f1ff7d6d45cc82db22576d9","source":{"kind":"arxiv","id":"hep-th/0005210","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/0005210","created_at":"2026-07-04T16:20:47Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/0005210v2","created_at":"2026-07-04T16:20:47Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/0005210","created_at":"2026-07-04T16:20:47Z"},{"alias_kind":"pith_short_12","alias_value":"VF57BQW4MS2D","created_at":"2026-07-04T16:20:47Z"},{"alias_kind":"pith_short_16","alias_value":"VF57BQW4MS2DDLDG","created_at":"2026-07-04T16:20:47Z"},{"alias_kind":"pith_short_8","alias_value":"VF57BQW4","created_at":"2026-07-04T16:20:47Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2000:VF57BQW4MS2DDLDGTKHAPF2PWS","target":"record","payload":{"canonical_record":{"source":{"id":"hep-th/0005210","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"2000-05-23T16:19:28Z","cross_cats_sorted":[],"title_canon_sha256":"fe0c6ba5048bc4a363fc6f1ad6e88b5c33e0fc206e3cc2394bb96d0010963125","abstract_canon_sha256":"8aef90d9858a375997ec5df5f93689ba53269d8f8b8f6b1823016ffb2fb41693"},"schema_version":"1.0"},"canonical_sha256":"a97bf0c2dc64b431ac669a8e07974fb490d8c92a8f1ff7d6d45cc82db22576d9","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T16:20:47.085295Z","signature_b64":"3BiDU5qpRJ2Es9jLLfmkSXHa+DCxtRp9dfO8D70D7ijqpu42tLbLNhKfJAyioIc/vOMY4isNGoMAASivFnZeAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a97bf0c2dc64b431ac669a8e07974fb490d8c92a8f1ff7d6d45cc82db22576d9","last_reissued_at":"2026-07-04T16:20:47.084822Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T16:20:47.084822Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"hep-th/0005210","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-04T16:20:47Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"uP43bezymy3+xaSboo98nrLvf9tnVV++RSXMH3ei6VaFdckgiKXL2Jv6nAtcpPcZlrjdIQdLIjJn42vBDggDBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-04T11:57:44.282033Z"},"content_sha256":"227bfeb17d72fc0a7ffd5a3c1b352cbc5ebc55f4a39ae8b34790ee89247bd1d2","schema_version":"1.0","event_id":"sha256:227bfeb17d72fc0a7ffd5a3c1b352cbc5ebc55f4a39ae8b34790ee89247bd1d2"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2000:VF57BQW4MS2DDLDGTKHAPF2PWS","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Noncommutative geometry and physics: a review of selected recent results","license":"","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Leonardo Castellani","submitted_at":"2000-05-23T16:19:28Z","abstract_excerpt":"This review is based on two lectures given at the 2000 TMR school in Torino. We discuss two main themes: i) Moyal-type deformations of gauge theories, as emerging from M-theory and open string theories, and ii) the noncommutative geometry of finite groups, with the explicit example of Z_2, and its application to Kaluza-Klein gauge theories on discrete internal spaces."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/0005210","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/hep-th/0005210/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-07-04T16:20:47Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"LBKJbs8pctum5ItzP9HGGzktZZxHSdIe31ISsm4+ZDs3N1ZCUBxtbPZMMcdPa488vFAhjvx0Vo/xtvyT/NRIBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-04T11:57:44.282910Z"},"content_sha256":"1b529f8a7a8a9e273296829cbc90007a72bdcce3d1193332dd5e418676c17b7d","schema_version":"1.0","event_id":"sha256:1b529f8a7a8a9e273296829cbc90007a72bdcce3d1193332dd5e418676c17b7d"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/VF57BQW4MS2DDLDGTKHAPF2PWS/bundle.json","state_url":"https://pith.science/pith/VF57BQW4MS2DDLDGTKHAPF2PWS/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/VF57BQW4MS2DDLDGTKHAPF2PWS/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":"2026-08-04T11:57:44Z","links":{"resolver":"https://pith.science/pith/VF57BQW4MS2DDLDGTKHAPF2PWS","bundle":"https://pith.science/pith/VF57BQW4MS2DDLDGTKHAPF2PWS/bundle.json","state":"https://pith.science/pith/VF57BQW4MS2DDLDGTKHAPF2PWS/state.json","well_known_bundle":"https://pith.science/.well-known/pith/VF57BQW4MS2DDLDGTKHAPF2PWS/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2000:VF57BQW4MS2DDLDGTKHAPF2PWS","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":"8aef90d9858a375997ec5df5f93689ba53269d8f8b8f6b1823016ffb2fb41693","cross_cats_sorted":[],"license":"","primary_cat":"hep-th","submitted_at":"2000-05-23T16:19:28Z","title_canon_sha256":"fe0c6ba5048bc4a363fc6f1ad6e88b5c33e0fc206e3cc2394bb96d0010963125"},"schema_version":"1.0","source":{"id":"hep-th/0005210","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/0005210","created_at":"2026-07-04T16:20:47Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/0005210v2","created_at":"2026-07-04T16:20:47Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/0005210","created_at":"2026-07-04T16:20:47Z"},{"alias_kind":"pith_short_12","alias_value":"VF57BQW4MS2D","created_at":"2026-07-04T16:20:47Z"},{"alias_kind":"pith_short_16","alias_value":"VF57BQW4MS2DDLDG","created_at":"2026-07-04T16:20:47Z"},{"alias_kind":"pith_short_8","alias_value":"VF57BQW4","created_at":"2026-07-04T16:20:47Z"}],"graph_snapshots":[{"event_id":"sha256:1b529f8a7a8a9e273296829cbc90007a72bdcce3d1193332dd5e418676c17b7d","target":"graph","created_at":"2026-07-04T16:20:47Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/hep-th/0005210/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"This review is based on two lectures given at the 2000 TMR school in Torino. We discuss two main themes: i) Moyal-type deformations of gauge theories, as emerging from M-theory and open string theories, and ii) the noncommutative geometry of finite groups, with the explicit example of Z_2, and its application to Kaluza-Klein gauge theories on discrete internal spaces.","authors_text":"Leonardo Castellani","cross_cats":[],"headline":"","license":"","primary_cat":"hep-th","submitted_at":"2000-05-23T16:19:28Z","title":"Noncommutative geometry and physics: a review of selected recent results"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/0005210","kind":"arxiv","version":2},"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":"sha256:227bfeb17d72fc0a7ffd5a3c1b352cbc5ebc55f4a39ae8b34790ee89247bd1d2","target":"record","created_at":"2026-07-04T16:20:47Z","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":"8aef90d9858a375997ec5df5f93689ba53269d8f8b8f6b1823016ffb2fb41693","cross_cats_sorted":[],"license":"","primary_cat":"hep-th","submitted_at":"2000-05-23T16:19:28Z","title_canon_sha256":"fe0c6ba5048bc4a363fc6f1ad6e88b5c33e0fc206e3cc2394bb96d0010963125"},"schema_version":"1.0","source":{"id":"hep-th/0005210","kind":"arxiv","version":2}},"canonical_sha256":"a97bf0c2dc64b431ac669a8e07974fb490d8c92a8f1ff7d6d45cc82db22576d9","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a97bf0c2dc64b431ac669a8e07974fb490d8c92a8f1ff7d6d45cc82db22576d9","first_computed_at":"2026-07-04T16:20:47.084822Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T16:20:47.084822Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"3BiDU5qpRJ2Es9jLLfmkSXHa+DCxtRp9dfO8D70D7ijqpu42tLbLNhKfJAyioIc/vOMY4isNGoMAASivFnZeAg==","signature_status":"signed_v1","signed_at":"2026-07-04T16:20:47.085295Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-th/0005210","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:227bfeb17d72fc0a7ffd5a3c1b352cbc5ebc55f4a39ae8b34790ee89247bd1d2","sha256:1b529f8a7a8a9e273296829cbc90007a72bdcce3d1193332dd5e418676c17b7d"],"state_sha256":"cc48ba664011edbd8a3846278d68640f186f9b2a72913b78f00cd8002b8a939a"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Rl9bZTB9VbLquCtDxzpOwTl8bV7c+Y7n8DitcRTdZIHXaaiQDufwhGiMay13f9L9G9SP+b5Y6MhsTlx1CrOFCg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-04T11:57:44.304640Z","bundle_sha256":"546223fbe49ed25cff6fa905c184d6ad2538d2d869b7ea816c812f1818029c05"}}