{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2005:HGYTOFDXPKWOMOVLB75HDWQWT7","short_pith_number":"pith:HGYTOFDX","canonical_record":{"source":{"id":"hep-th/0508002","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"2005-08-01T04:55:09Z","cross_cats_sorted":["gr-qc","hep-ph","math-ph","math.MP","math.QA","quant-ph"],"title_canon_sha256":"71a10cc3c82ff611b2eda8c6af6ed3a2d278629a28665648cf677a9664e22d6f","abstract_canon_sha256":"31116710b6bbf8490d5f622f0ab39612830bf9ef90f6c5b80cb9b6126d83de84"},"schema_version":"1.0"},"canonical_sha256":"39b13714777aace63aab0ffa71da169fd0e1e8855e87cd454efd082e4e84a0ba","source":{"kind":"arxiv","id":"hep-th/0508002","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/0508002","created_at":"2026-05-18T04:18:13Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/0508002v2","created_at":"2026-05-18T04:18:13Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/0508002","created_at":"2026-05-18T04:18:13Z"},{"alias_kind":"pith_short_12","alias_value":"HGYTOFDXPKWO","created_at":"2026-05-18T12:25:53Z"},{"alias_kind":"pith_short_16","alias_value":"HGYTOFDXPKWOMOVL","created_at":"2026-05-18T12:25:53Z"},{"alias_kind":"pith_short_8","alias_value":"HGYTOFDX","created_at":"2026-05-18T12:25:53Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2005:HGYTOFDXPKWOMOVLB75HDWQWT7","target":"record","payload":{"canonical_record":{"source":{"id":"hep-th/0508002","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"2005-08-01T04:55:09Z","cross_cats_sorted":["gr-qc","hep-ph","math-ph","math.MP","math.QA","quant-ph"],"title_canon_sha256":"71a10cc3c82ff611b2eda8c6af6ed3a2d278629a28665648cf677a9664e22d6f","abstract_canon_sha256":"31116710b6bbf8490d5f622f0ab39612830bf9ef90f6c5b80cb9b6126d83de84"},"schema_version":"1.0"},"canonical_sha256":"39b13714777aace63aab0ffa71da169fd0e1e8855e87cd454efd082e4e84a0ba","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:18:13.878209Z","signature_b64":"2WWjxOkNOnQ0M50pbaGSFuI/JBunqqIofdp8jh7OExhbQ6qyzNd8c5LGCM5ZNMKwtcYvLolJ55yJssYktkZVBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"39b13714777aace63aab0ffa71da169fd0e1e8855e87cd454efd082e4e84a0ba","last_reissued_at":"2026-05-18T04:18:13.877757Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:18:13.877757Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"hep-th/0508002","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":"2026-05-18T04:18:13Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"cWZvOYoPvyYJWbeoBQNQ30afRnIuSl1DbPZMVqZTn3iJnRdeq42lo64Fo3OpIUZR4zANtqCgD3Re0tqd/blBAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-09T12:02:34.584933Z"},"content_sha256":"b3c3cdf09c9eb429eb74e30c51e71421d26ae3cc7c6d1d736ab38ae2d00726a2","schema_version":"1.0","event_id":"sha256:b3c3cdf09c9eb429eb74e30c51e71421d26ae3cc7c6d1d736ab38ae2d00726a2"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2005:HGYTOFDXPKWOMOVLB75HDWQWT7","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Spin and Statistics on the Groenewold-Moyal Plane: Pauli-Forbidden Levels and Transitions","license":"","headline":"","cross_cats":["gr-qc","hep-ph","math-ph","math.MP","math.QA","quant-ph"],"primary_cat":"hep-th","authors_text":"A.P. Balachandran, A. Pinzul, G. Mangano, S. Vaidya","submitted_at":"2005-08-01T04:55:09Z","abstract_excerpt":"The Groenewold-Moyal plane is the algebra A_\\theta(R^(d+1)) of functions on R^(d+1) with the star-product as the multiplication law, and the commutator [x_\\mu,x_\\nu] =i \\theta_{\\mu \\nu} between the coordinate functions. Chaichian et al. and Aschieri et al. have proved that the Poincare group acts as automorphisms on A_\\theta(R^(d+1))$ if the coproduct is deformed. (See also the prior work of Majid, Oeckl and Grosse et al). In fact, the diffeomorphism group with a deformed coproduct also does so according to the results of Aschieri et al. In this paper we show that for this new action, the Bose"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/0508002","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":"2026-05-18T04:18:13Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Z/mq1HblT3s2FHxzOUkw0BE3YNXg47qhI1qUUnC4zlOFrw1yCz1YGszWH7zCk06jibYYWL8asr2I2dLkI4SQAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-09T12:02:34.585493Z"},"content_sha256":"2eed6388bfe17552456de52b721fbbdf89a77df6940bc5a31033237405bf5d6b","schema_version":"1.0","event_id":"sha256:2eed6388bfe17552456de52b721fbbdf89a77df6940bc5a31033237405bf5d6b"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/HGYTOFDXPKWOMOVLB75HDWQWT7/bundle.json","state_url":"https://pith.science/pith/HGYTOFDXPKWOMOVLB75HDWQWT7/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/HGYTOFDXPKWOMOVLB75HDWQWT7/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":"2026-08-09T12:02:34Z","links":{"resolver":"https://pith.science/pith/HGYTOFDXPKWOMOVLB75HDWQWT7","bundle":"https://pith.science/pith/HGYTOFDXPKWOMOVLB75HDWQWT7/bundle.json","state":"https://pith.science/pith/HGYTOFDXPKWOMOVLB75HDWQWT7/state.json","well_known_bundle":"https://pith.science/.well-known/pith/HGYTOFDXPKWOMOVLB75HDWQWT7/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2005:HGYTOFDXPKWOMOVLB75HDWQWT7","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":"31116710b6bbf8490d5f622f0ab39612830bf9ef90f6c5b80cb9b6126d83de84","cross_cats_sorted":["gr-qc","hep-ph","math-ph","math.MP","math.QA","quant-ph"],"license":"","primary_cat":"hep-th","submitted_at":"2005-08-01T04:55:09Z","title_canon_sha256":"71a10cc3c82ff611b2eda8c6af6ed3a2d278629a28665648cf677a9664e22d6f"},"schema_version":"1.0","source":{"id":"hep-th/0508002","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/0508002","created_at":"2026-05-18T04:18:13Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/0508002v2","created_at":"2026-05-18T04:18:13Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/0508002","created_at":"2026-05-18T04:18:13Z"},{"alias_kind":"pith_short_12","alias_value":"HGYTOFDXPKWO","created_at":"2026-05-18T12:25:53Z"},{"alias_kind":"pith_short_16","alias_value":"HGYTOFDXPKWOMOVL","created_at":"2026-05-18T12:25:53Z"},{"alias_kind":"pith_short_8","alias_value":"HGYTOFDX","created_at":"2026-05-18T12:25:53Z"}],"graph_snapshots":[{"event_id":"sha256:2eed6388bfe17552456de52b721fbbdf89a77df6940bc5a31033237405bf5d6b","target":"graph","created_at":"2026-05-18T04:18:13Z","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":"The Groenewold-Moyal plane is the algebra A_\\theta(R^(d+1)) of functions on R^(d+1) with the star-product as the multiplication law, and the commutator [x_\\mu,x_\\nu] =i \\theta_{\\mu \\nu} between the coordinate functions. Chaichian et al. and Aschieri et al. have proved that the Poincare group acts as automorphisms on A_\\theta(R^(d+1))$ if the coproduct is deformed. (See also the prior work of Majid, Oeckl and Grosse et al). In fact, the diffeomorphism group with a deformed coproduct also does so according to the results of Aschieri et al. In this paper we show that for this new action, the Bose","authors_text":"A.P. Balachandran, A. Pinzul, G. Mangano, S. Vaidya","cross_cats":["gr-qc","hep-ph","math-ph","math.MP","math.QA","quant-ph"],"headline":"","license":"","primary_cat":"hep-th","submitted_at":"2005-08-01T04:55:09Z","title":"Spin and Statistics on the Groenewold-Moyal Plane: Pauli-Forbidden Levels and Transitions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/0508002","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:b3c3cdf09c9eb429eb74e30c51e71421d26ae3cc7c6d1d736ab38ae2d00726a2","target":"record","created_at":"2026-05-18T04:18:13Z","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":"31116710b6bbf8490d5f622f0ab39612830bf9ef90f6c5b80cb9b6126d83de84","cross_cats_sorted":["gr-qc","hep-ph","math-ph","math.MP","math.QA","quant-ph"],"license":"","primary_cat":"hep-th","submitted_at":"2005-08-01T04:55:09Z","title_canon_sha256":"71a10cc3c82ff611b2eda8c6af6ed3a2d278629a28665648cf677a9664e22d6f"},"schema_version":"1.0","source":{"id":"hep-th/0508002","kind":"arxiv","version":2}},"canonical_sha256":"39b13714777aace63aab0ffa71da169fd0e1e8855e87cd454efd082e4e84a0ba","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"39b13714777aace63aab0ffa71da169fd0e1e8855e87cd454efd082e4e84a0ba","first_computed_at":"2026-05-18T04:18:13.877757Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:18:13.877757Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"2WWjxOkNOnQ0M50pbaGSFuI/JBunqqIofdp8jh7OExhbQ6qyzNd8c5LGCM5ZNMKwtcYvLolJ55yJssYktkZVBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T04:18:13.878209Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-th/0508002","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b3c3cdf09c9eb429eb74e30c51e71421d26ae3cc7c6d1d736ab38ae2d00726a2","sha256:2eed6388bfe17552456de52b721fbbdf89a77df6940bc5a31033237405bf5d6b"],"state_sha256":"88bf8d564e7e999d6d903894bee73612d5f1306b399fb5cb7d05351b58629641"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"e7PQHUZowhSw+h2PqWRYEVVshe39c0p+ZSzEFev4Q7DS65v43R6oQgkkNzcBUJf1xW5E0CTd+MnfNHwwtNBpAA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-09T12:02:34.589216Z","bundle_sha256":"ddee88f6f9345a5c37ba6026b8fc25e47cbfafcc2131f8909e0b18c842db27d4"}}