{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2002:UBINSLULGKOVBSCIMONNQPYTLM","short_pith_number":"pith:UBINSLUL","canonical_record":{"source":{"id":"hep-th/0204170","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"2002-04-19T20:16:43Z","cross_cats_sorted":["gr-qc","math-ph","math.MP","math.QA","quant-ph"],"title_canon_sha256":"4a4eadb23cd8a4000b69b5d806ecdf0f7827208159ea8c27a9f8868e17e77184","abstract_canon_sha256":"a42c3221e3c1555c26b2cb22048241874d5d28f83170145b77f75246fce05ed4"},"schema_version":"1.0"},"canonical_sha256":"a050d92e8b329d50c848639ad83f135b215c8d1b4e902f90fb3e37113f4d4bd5","source":{"kind":"arxiv","id":"hep-th/0204170","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/0204170","created_at":"2026-07-04T16:34:44Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/0204170v2","created_at":"2026-07-04T16:34:44Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/0204170","created_at":"2026-07-04T16:34:44Z"},{"alias_kind":"pith_short_12","alias_value":"UBINSLULGKOV","created_at":"2026-07-04T16:34:44Z"},{"alias_kind":"pith_short_16","alias_value":"UBINSLULGKOVBSCI","created_at":"2026-07-04T16:34:44Z"},{"alias_kind":"pith_short_8","alias_value":"UBINSLUL","created_at":"2026-07-04T16:34:44Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2002:UBINSLULGKOVBSCIMONNQPYTLM","target":"record","payload":{"canonical_record":{"source":{"id":"hep-th/0204170","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"2002-04-19T20:16:43Z","cross_cats_sorted":["gr-qc","math-ph","math.MP","math.QA","quant-ph"],"title_canon_sha256":"4a4eadb23cd8a4000b69b5d806ecdf0f7827208159ea8c27a9f8868e17e77184","abstract_canon_sha256":"a42c3221e3c1555c26b2cb22048241874d5d28f83170145b77f75246fce05ed4"},"schema_version":"1.0"},"canonical_sha256":"a050d92e8b329d50c848639ad83f135b215c8d1b4e902f90fb3e37113f4d4bd5","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T16:34:44.127277Z","signature_b64":"Ao9hVq7kjZWM/m+RLoiVqjpKJzeQ9kE99zNUUJxsn/hU8pBymvMcGALf2r2jjUh2g5aKj0acchyzL+Hiwka5Aw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a050d92e8b329d50c848639ad83f135b215c8d1b4e902f90fb3e37113f4d4bd5","last_reissued_at":"2026-07-04T16:34:44.126791Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T16:34:44.126791Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"hep-th/0204170","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":"2026-07-04T16:34:44Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"HyvPcyxA7K4aSx1DkadviozMZRhazqwf16U6rsEzG3tQJ3/ZYYJq5uUplzfjNvXKCy4Yo6xYB4gCwkZ6Wus1DA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-04T15:37:48.595882Z"},"content_sha256":"ae3c1ef9a31a9117e0326d23d1174846dc573589d76af965030c1cde3adcad1f","schema_version":"1.0","event_id":"sha256:ae3c1ef9a31a9117e0326d23d1174846dc573589d76af965030c1cde3adcad1f"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2002:UBINSLULGKOVBSCIMONNQPYTLM","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"The Star Product on the Fuzzy Supersphere","license":"","headline":"","cross_cats":["gr-qc","math-ph","math.MP","math.QA","quant-ph"],"primary_cat":"hep-th","authors_text":"A. P. Balachandran, E. Rojas, S. Kurkcuoglu","submitted_at":"2002-04-19T20:16:43Z","abstract_excerpt":"The fuzzy supersphere $S_F^{(2,2)}$ is a finite-dimensional matrix approximation to the supersphere $S^{(2,2)}$ incorporating supersymmetry exactly. Here the star-product of functions on $S_F^{(2,2)}$ is obtained by utilizing the OSp(2,1) coherent states. We check its graded commutative limit to $S^{(2,2)}$ and extend it to fuzzy versions of sections of bundles using the methods of [1]. A brief discussion of the geometric structure of our star-product completes our work."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/0204170","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/0204170/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":"2026-07-04T16:34:44Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"gbw0PxucfFtV3l+xFAev5Mfv+4hy3Ff49pIXFjmjNfVfRJ0P8PAX54m7s/4PeefMnUPOPQydZ7YenDuVwXX2DA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-04T15:37:48.596389Z"},"content_sha256":"4a3356820727bdb5919fdee72e066147c2d04d5ac0ab399a707a4ecfe7f989db","schema_version":"1.0","event_id":"sha256:4a3356820727bdb5919fdee72e066147c2d04d5ac0ab399a707a4ecfe7f989db"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/UBINSLULGKOVBSCIMONNQPYTLM/bundle.json","state_url":"https://pith.science/pith/UBINSLULGKOVBSCIMONNQPYTLM/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/UBINSLULGKOVBSCIMONNQPYTLM/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":"2026-08-04T15:37:48Z","links":{"resolver":"https://pith.science/pith/UBINSLULGKOVBSCIMONNQPYTLM","bundle":"https://pith.science/pith/UBINSLULGKOVBSCIMONNQPYTLM/bundle.json","state":"https://pith.science/pith/UBINSLULGKOVBSCIMONNQPYTLM/state.json","well_known_bundle":"https://pith.science/.well-known/pith/UBINSLULGKOVBSCIMONNQPYTLM/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2002:UBINSLULGKOVBSCIMONNQPYTLM","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":"a42c3221e3c1555c26b2cb22048241874d5d28f83170145b77f75246fce05ed4","cross_cats_sorted":["gr-qc","math-ph","math.MP","math.QA","quant-ph"],"license":"","primary_cat":"hep-th","submitted_at":"2002-04-19T20:16:43Z","title_canon_sha256":"4a4eadb23cd8a4000b69b5d806ecdf0f7827208159ea8c27a9f8868e17e77184"},"schema_version":"1.0","source":{"id":"hep-th/0204170","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/0204170","created_at":"2026-07-04T16:34:44Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/0204170v2","created_at":"2026-07-04T16:34:44Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/0204170","created_at":"2026-07-04T16:34:44Z"},{"alias_kind":"pith_short_12","alias_value":"UBINSLULGKOV","created_at":"2026-07-04T16:34:44Z"},{"alias_kind":"pith_short_16","alias_value":"UBINSLULGKOVBSCI","created_at":"2026-07-04T16:34:44Z"},{"alias_kind":"pith_short_8","alias_value":"UBINSLUL","created_at":"2026-07-04T16:34:44Z"}],"graph_snapshots":[{"event_id":"sha256:4a3356820727bdb5919fdee72e066147c2d04d5ac0ab399a707a4ecfe7f989db","target":"graph","created_at":"2026-07-04T16:34:44Z","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/0204170/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The fuzzy supersphere $S_F^{(2,2)}$ is a finite-dimensional matrix approximation to the supersphere $S^{(2,2)}$ incorporating supersymmetry exactly. Here the star-product of functions on $S_F^{(2,2)}$ is obtained by utilizing the OSp(2,1) coherent states. We check its graded commutative limit to $S^{(2,2)}$ and extend it to fuzzy versions of sections of bundles using the methods of [1]. A brief discussion of the geometric structure of our star-product completes our work.","authors_text":"A. P. Balachandran, E. Rojas, S. Kurkcuoglu","cross_cats":["gr-qc","math-ph","math.MP","math.QA","quant-ph"],"headline":"","license":"","primary_cat":"hep-th","submitted_at":"2002-04-19T20:16:43Z","title":"The Star Product on the Fuzzy Supersphere"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/0204170","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:ae3c1ef9a31a9117e0326d23d1174846dc573589d76af965030c1cde3adcad1f","target":"record","created_at":"2026-07-04T16:34:44Z","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":"a42c3221e3c1555c26b2cb22048241874d5d28f83170145b77f75246fce05ed4","cross_cats_sorted":["gr-qc","math-ph","math.MP","math.QA","quant-ph"],"license":"","primary_cat":"hep-th","submitted_at":"2002-04-19T20:16:43Z","title_canon_sha256":"4a4eadb23cd8a4000b69b5d806ecdf0f7827208159ea8c27a9f8868e17e77184"},"schema_version":"1.0","source":{"id":"hep-th/0204170","kind":"arxiv","version":2}},"canonical_sha256":"a050d92e8b329d50c848639ad83f135b215c8d1b4e902f90fb3e37113f4d4bd5","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a050d92e8b329d50c848639ad83f135b215c8d1b4e902f90fb3e37113f4d4bd5","first_computed_at":"2026-07-04T16:34:44.126791Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T16:34:44.126791Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Ao9hVq7kjZWM/m+RLoiVqjpKJzeQ9kE99zNUUJxsn/hU8pBymvMcGALf2r2jjUh2g5aKj0acchyzL+Hiwka5Aw==","signature_status":"signed_v1","signed_at":"2026-07-04T16:34:44.127277Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-th/0204170","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ae3c1ef9a31a9117e0326d23d1174846dc573589d76af965030c1cde3adcad1f","sha256:4a3356820727bdb5919fdee72e066147c2d04d5ac0ab399a707a4ecfe7f989db"],"state_sha256":"54b3ba0d18cefc7c1070d21a0ad44d80000ce6bb0e4ba5c31bb8714b982cb30c"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"SwydyRYPWBJHlS5BYggWIVN+i8nTnqJZOTDPNiRXb4dKN95F843Mzk5YdjsHKxQLF0EJZHZgcO+lOMKh/mw6Cg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-04T15:37:48.601723Z","bundle_sha256":"24e0391719c752073d921be6d0827e8ed4cbae29bcb78e972154d410cbb4c79f"}}