{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2000:GV7IKNVWCLNNEJZEN5LLIKD6TY","short_pith_number":"pith:GV7IKNVW","canonical_record":{"source":{"id":"math/0012236","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"math.QA","submitted_at":"2000-12-22T18:51:04Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"8ca316ed37e40288aa9ce10bac693d884269b19929bd7b3cc22b337cafdc1efe","abstract_canon_sha256":"e938e0a786ec5a0f7ba9298cbd079bb6f68074ad982c12de334fa237b38b191e"},"schema_version":"1.0"},"canonical_sha256":"357e8536b612dad227246f56b4287e9e072ef5cb3549076c2b9a493343130111","source":{"kind":"arxiv","id":"math/0012236","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"math/0012236","created_at":"2026-05-18T02:35:38Z"},{"alias_kind":"arxiv_version","alias_value":"math/0012236v2","created_at":"2026-05-18T02:35:38Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math/0012236","created_at":"2026-05-18T02:35:38Z"},{"alias_kind":"pith_short_12","alias_value":"GV7IKNVWCLNN","created_at":"2026-05-18T12:25:49Z"},{"alias_kind":"pith_short_16","alias_value":"GV7IKNVWCLNNEJZE","created_at":"2026-05-18T12:25:49Z"},{"alias_kind":"pith_short_8","alias_value":"GV7IKNVW","created_at":"2026-05-18T12:25:49Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2000:GV7IKNVWCLNNEJZEN5LLIKD6TY","target":"record","payload":{"canonical_record":{"source":{"id":"math/0012236","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"math.QA","submitted_at":"2000-12-22T18:51:04Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"8ca316ed37e40288aa9ce10bac693d884269b19929bd7b3cc22b337cafdc1efe","abstract_canon_sha256":"e938e0a786ec5a0f7ba9298cbd079bb6f68074ad982c12de334fa237b38b191e"},"schema_version":"1.0"},"canonical_sha256":"357e8536b612dad227246f56b4287e9e072ef5cb3549076c2b9a493343130111","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:35:38.634378Z","signature_b64":"ROoRCKNV3FtA0u6g6KpLj1e7IndBvR8/ZoyoBEGbXC2haJLvusSdRolhtq7C3cTKfQpJUbwCej3v4HGEkLsQBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"357e8536b612dad227246f56b4287e9e072ef5cb3549076c2b9a493343130111","last_reissued_at":"2026-05-18T02:35:38.633797Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:35:38.633797Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"math/0012236","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":"2026-05-18T02:35:38Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"6EGAdVP21Q+wMNzL0SwI/J7GncHejgtUu9JT1r8gRb+jMEBJETsFVer6/HWK2tlVQatMF2g3iu3hWpJPJkFUDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-27T23:55:20.754231Z"},"content_sha256":"8ea750653e5583a6ca78ec83f010544237478fa7f3d702573cc6b9c8886b98de","schema_version":"1.0","event_id":"sha256:8ea750653e5583a6ca78ec83f010544237478fa7f3d702573cc6b9c8886b98de"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2000:GV7IKNVWCLNNEJZEN5LLIKD6TY","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Noncommutative Instantons on the 4-Sphere from Quantum Groups","license":"","headline":"","cross_cats":["hep-th"],"primary_cat":"math.QA","authors_text":"Dip.Fisica, F. Bonechi (INFN, Firenze), M. Tarlini (INFN, N. Ciccoli (Dip.Matematica, Perugia)","submitted_at":"2000-12-22T18:51:04Z","abstract_excerpt":"We describe an approach to the noncommutative instantons on the 4-sphere based on quantum group theory. We quantize the Hopf bundle S^7 --> S^4 making use of the concept of quantum coisotropic subgroups. The analysis of the semiclassical Poisson--Lie structure of U(4) shows that the diagonal SU(2) must be conjugated to be properly quantized. The quantum coisotropic subgroup we obtain is the standard SU_q(2); it determines a new deformation of the 4-sphere Sigma^4_q as the algebra of coinvariants in S_q^7. We show that the quantum vector bundle associated to the fundamental corepresentation of "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/0012236","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":""},"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":"2026-05-18T02:35:38Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"xqqSs7XdqSNafLx2Q0sbQ/GbsneQpijFn4plfGbjm7WIxsEe9sshbQJOMv6S8wNCpGy79QcYWmCViemH42SBBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-27T23:55:20.754587Z"},"content_sha256":"64d8d1a02ca7d1241a2d319938c3705014ed3d6e424c74e538295434bc25d966","schema_version":"1.0","event_id":"sha256:64d8d1a02ca7d1241a2d319938c3705014ed3d6e424c74e538295434bc25d966"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/GV7IKNVWCLNNEJZEN5LLIKD6TY/bundle.json","state_url":"https://pith.science/pith/GV7IKNVWCLNNEJZEN5LLIKD6TY/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/GV7IKNVWCLNNEJZEN5LLIKD6TY/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":"2026-06-27T23:55:20Z","links":{"resolver":"https://pith.science/pith/GV7IKNVWCLNNEJZEN5LLIKD6TY","bundle":"https://pith.science/pith/GV7IKNVWCLNNEJZEN5LLIKD6TY/bundle.json","state":"https://pith.science/pith/GV7IKNVWCLNNEJZEN5LLIKD6TY/state.json","well_known_bundle":"https://pith.science/.well-known/pith/GV7IKNVWCLNNEJZEN5LLIKD6TY/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2000:GV7IKNVWCLNNEJZEN5LLIKD6TY","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":"e938e0a786ec5a0f7ba9298cbd079bb6f68074ad982c12de334fa237b38b191e","cross_cats_sorted":["hep-th"],"license":"","primary_cat":"math.QA","submitted_at":"2000-12-22T18:51:04Z","title_canon_sha256":"8ca316ed37e40288aa9ce10bac693d884269b19929bd7b3cc22b337cafdc1efe"},"schema_version":"1.0","source":{"id":"math/0012236","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"math/0012236","created_at":"2026-05-18T02:35:38Z"},{"alias_kind":"arxiv_version","alias_value":"math/0012236v2","created_at":"2026-05-18T02:35:38Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math/0012236","created_at":"2026-05-18T02:35:38Z"},{"alias_kind":"pith_short_12","alias_value":"GV7IKNVWCLNN","created_at":"2026-05-18T12:25:49Z"},{"alias_kind":"pith_short_16","alias_value":"GV7IKNVWCLNNEJZE","created_at":"2026-05-18T12:25:49Z"},{"alias_kind":"pith_short_8","alias_value":"GV7IKNVW","created_at":"2026-05-18T12:25:49Z"}],"graph_snapshots":[{"event_id":"sha256:64d8d1a02ca7d1241a2d319938c3705014ed3d6e424c74e538295434bc25d966","target":"graph","created_at":"2026-05-18T02:35:38Z","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 describe an approach to the noncommutative instantons on the 4-sphere based on quantum group theory. We quantize the Hopf bundle S^7 --> S^4 making use of the concept of quantum coisotropic subgroups. The analysis of the semiclassical Poisson--Lie structure of U(4) shows that the diagonal SU(2) must be conjugated to be properly quantized. The quantum coisotropic subgroup we obtain is the standard SU_q(2); it determines a new deformation of the 4-sphere Sigma^4_q as the algebra of coinvariants in S_q^7. We show that the quantum vector bundle associated to the fundamental corepresentation of ","authors_text":"Dip.Fisica, F. Bonechi (INFN, Firenze), M. Tarlini (INFN, N. Ciccoli (Dip.Matematica, Perugia)","cross_cats":["hep-th"],"headline":"","license":"","primary_cat":"math.QA","submitted_at":"2000-12-22T18:51:04Z","title":"Noncommutative Instantons on the 4-Sphere from Quantum Groups"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/0012236","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":"sha256:8ea750653e5583a6ca78ec83f010544237478fa7f3d702573cc6b9c8886b98de","target":"record","created_at":"2026-05-18T02:35:38Z","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":"e938e0a786ec5a0f7ba9298cbd079bb6f68074ad982c12de334fa237b38b191e","cross_cats_sorted":["hep-th"],"license":"","primary_cat":"math.QA","submitted_at":"2000-12-22T18:51:04Z","title_canon_sha256":"8ca316ed37e40288aa9ce10bac693d884269b19929bd7b3cc22b337cafdc1efe"},"schema_version":"1.0","source":{"id":"math/0012236","kind":"arxiv","version":2}},"canonical_sha256":"357e8536b612dad227246f56b4287e9e072ef5cb3549076c2b9a493343130111","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"357e8536b612dad227246f56b4287e9e072ef5cb3549076c2b9a493343130111","first_computed_at":"2026-05-18T02:35:38.633797Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:35:38.633797Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ROoRCKNV3FtA0u6g6KpLj1e7IndBvR8/ZoyoBEGbXC2haJLvusSdRolhtq7C3cTKfQpJUbwCej3v4HGEkLsQBw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:35:38.634378Z","signed_message":"canonical_sha256_bytes"},"source_id":"math/0012236","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8ea750653e5583a6ca78ec83f010544237478fa7f3d702573cc6b9c8886b98de","sha256:64d8d1a02ca7d1241a2d319938c3705014ed3d6e424c74e538295434bc25d966"],"state_sha256":"1eb4aab9be22b1931ae575ced193a6144d39faa40a0613863eb9e2b17f1cac47"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"f5HC3bV5EqY2p+IZkCjdQytHlO+/U7pDC8DnbCRCS6o5tlscNtfnhZ+IiHrahAiLyx+KbXJYYXJpiRceXqaADA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-27T23:55:20.756449Z","bundle_sha256":"c796a0992766c5406fdc8ac5437f0dccf9b9be73b4372d333c4e69aecf2a8e09"}}