{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2022:NGBX6DMHBXXKJKHC4WOI63Q5LL","short_pith_number":"pith:NGBX6DMH","canonical_record":{"source":{"id":"2208.10118","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2022-08-22T07:42:27Z","cross_cats_sorted":[],"title_canon_sha256":"b895ad4dace2269853d87578a265a7d327eff5eeb05f6f4ddae249e6c80ff1bb","abstract_canon_sha256":"8026a32fc58d524b198a0ff6394cf1628c0e182a1aa90a1ee558c4e21a6c938e"},"schema_version":"1.0"},"canonical_sha256":"69837f0d870deea4a8e2e59c8f6e1d5af3333c78446a6d9a9dc489de3b0d5131","source":{"kind":"arxiv","id":"2208.10118","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2208.10118","created_at":"2026-07-05T05:51:26Z"},{"alias_kind":"arxiv_version","alias_value":"2208.10118v2","created_at":"2026-07-05T05:51:26Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2208.10118","created_at":"2026-07-05T05:51:26Z"},{"alias_kind":"pith_short_12","alias_value":"NGBX6DMHBXXK","created_at":"2026-07-05T05:51:26Z"},{"alias_kind":"pith_short_16","alias_value":"NGBX6DMHBXXKJKHC","created_at":"2026-07-05T05:51:26Z"},{"alias_kind":"pith_short_8","alias_value":"NGBX6DMH","created_at":"2026-07-05T05:51:26Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2022:NGBX6DMHBXXKJKHC4WOI63Q5LL","target":"record","payload":{"canonical_record":{"source":{"id":"2208.10118","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2022-08-22T07:42:27Z","cross_cats_sorted":[],"title_canon_sha256":"b895ad4dace2269853d87578a265a7d327eff5eeb05f6f4ddae249e6c80ff1bb","abstract_canon_sha256":"8026a32fc58d524b198a0ff6394cf1628c0e182a1aa90a1ee558c4e21a6c938e"},"schema_version":"1.0"},"canonical_sha256":"69837f0d870deea4a8e2e59c8f6e1d5af3333c78446a6d9a9dc489de3b0d5131","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T05:51:26.522776Z","signature_b64":"YQaCc+ZFxYRR88SqEga80Wqb3zZERW1dcf+WVps9cRdB4MyOAu3dvbCbab71uwWeaecMqa9T/opytzYAUXt8Dw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"69837f0d870deea4a8e2e59c8f6e1d5af3333c78446a6d9a9dc489de3b0d5131","last_reissued_at":"2026-07-05T05:51:26.522349Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T05:51:26.522349Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2208.10118","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":"2026-07-05T05:51:26Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"NCN5NUKPUAJGwI+mbs3oxxWADi+Rl2cAgV0tH/rQpYzcqAUx2yWVJ4LdhCeyi1/QRG4YHgLqhdgN/qoBjP8XBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-11T03:42:50.302750Z"},"content_sha256":"99d715de583a38c2f20e8fac245f5ccc478ca0ea1a9c9a9801217dd91e174427","schema_version":"1.0","event_id":"sha256:99d715de583a38c2f20e8fac245f5ccc478ca0ea1a9c9a9801217dd91e174427"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2022:NGBX6DMHBXXKJKHC4WOI63Q5LL","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"$Z$ boson radiative decays to a $P$-wave quarkonium at NNLO and LL accuracy","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-ph","authors_text":"De-Shan Yang (UCAS), Wen-Long Sang (SWU), Yu-Dong Zhang (SWU)","submitted_at":"2022-08-22T07:42:27Z","abstract_excerpt":"In this work, we study the radiative decay of $Z$ boson to a $P$-wave quarkonium $H$ in association with a photon, where $H$ can be $\\chi_{QJ}$, $h_Q$ with $Q=c,b$ and $J=0,1,2$. The helicity amplitudes and the unpolarized decay widths are evaluated up to QCD next-to-next-to-leading order (NNLO) within the framework of nonrelativistic QCD (NRQCD). For the first time, we check the NRQCD factorization for $h_Q$ exclusive production at two-loop order. The leading logarithms (LL) of $m_Z^2/m_Q^2$ in the leading-twist short-distance coefficients, which may potentially ruin the perturbative converge"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2208.10118","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/2208.10118/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":"2026-07-05T05:51:26Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"mIHKHZ13uwnaawEH5hF7xA23qxCIHSC//ppjlcxE9cMFEtFnTVc+9B+WNhnTEfNFCe6kbC0HAcSe7dwjerEgCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-11T03:42:50.303625Z"},"content_sha256":"4d6e094851b35272bda31623660e6cbc50901bd60165c0d8687f7f3b156e8511","schema_version":"1.0","event_id":"sha256:4d6e094851b35272bda31623660e6cbc50901bd60165c0d8687f7f3b156e8511"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/NGBX6DMHBXXKJKHC4WOI63Q5LL/bundle.json","state_url":"https://pith.science/pith/NGBX6DMHBXXKJKHC4WOI63Q5LL/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/NGBX6DMHBXXKJKHC4WOI63Q5LL/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":"2026-08-11T03:42:50Z","links":{"resolver":"https://pith.science/pith/NGBX6DMHBXXKJKHC4WOI63Q5LL","bundle":"https://pith.science/pith/NGBX6DMHBXXKJKHC4WOI63Q5LL/bundle.json","state":"https://pith.science/pith/NGBX6DMHBXXKJKHC4WOI63Q5LL/state.json","well_known_bundle":"https://pith.science/.well-known/pith/NGBX6DMHBXXKJKHC4WOI63Q5LL/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2022:NGBX6DMHBXXKJKHC4WOI63Q5LL","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":"8026a32fc58d524b198a0ff6394cf1628c0e182a1aa90a1ee558c4e21a6c938e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2022-08-22T07:42:27Z","title_canon_sha256":"b895ad4dace2269853d87578a265a7d327eff5eeb05f6f4ddae249e6c80ff1bb"},"schema_version":"1.0","source":{"id":"2208.10118","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2208.10118","created_at":"2026-07-05T05:51:26Z"},{"alias_kind":"arxiv_version","alias_value":"2208.10118v2","created_at":"2026-07-05T05:51:26Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2208.10118","created_at":"2026-07-05T05:51:26Z"},{"alias_kind":"pith_short_12","alias_value":"NGBX6DMHBXXK","created_at":"2026-07-05T05:51:26Z"},{"alias_kind":"pith_short_16","alias_value":"NGBX6DMHBXXKJKHC","created_at":"2026-07-05T05:51:26Z"},{"alias_kind":"pith_short_8","alias_value":"NGBX6DMH","created_at":"2026-07-05T05:51:26Z"}],"graph_snapshots":[{"event_id":"sha256:4d6e094851b35272bda31623660e6cbc50901bd60165c0d8687f7f3b156e8511","target":"graph","created_at":"2026-07-05T05:51:26Z","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/2208.10118/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In this work, we study the radiative decay of $Z$ boson to a $P$-wave quarkonium $H$ in association with a photon, where $H$ can be $\\chi_{QJ}$, $h_Q$ with $Q=c,b$ and $J=0,1,2$. The helicity amplitudes and the unpolarized decay widths are evaluated up to QCD next-to-next-to-leading order (NNLO) within the framework of nonrelativistic QCD (NRQCD). For the first time, we check the NRQCD factorization for $h_Q$ exclusive production at two-loop order. The leading logarithms (LL) of $m_Z^2/m_Q^2$ in the leading-twist short-distance coefficients, which may potentially ruin the perturbative converge","authors_text":"De-Shan Yang (UCAS), Wen-Long Sang (SWU), Yu-Dong Zhang (SWU)","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2022-08-22T07:42:27Z","title":"$Z$ boson radiative decays to a $P$-wave quarkonium at NNLO and LL accuracy"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2208.10118","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":"sha256:99d715de583a38c2f20e8fac245f5ccc478ca0ea1a9c9a9801217dd91e174427","target":"record","created_at":"2026-07-05T05:51:26Z","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":"8026a32fc58d524b198a0ff6394cf1628c0e182a1aa90a1ee558c4e21a6c938e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2022-08-22T07:42:27Z","title_canon_sha256":"b895ad4dace2269853d87578a265a7d327eff5eeb05f6f4ddae249e6c80ff1bb"},"schema_version":"1.0","source":{"id":"2208.10118","kind":"arxiv","version":2}},"canonical_sha256":"69837f0d870deea4a8e2e59c8f6e1d5af3333c78446a6d9a9dc489de3b0d5131","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"69837f0d870deea4a8e2e59c8f6e1d5af3333c78446a6d9a9dc489de3b0d5131","first_computed_at":"2026-07-05T05:51:26.522349Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T05:51:26.522349Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"YQaCc+ZFxYRR88SqEga80Wqb3zZERW1dcf+WVps9cRdB4MyOAu3dvbCbab71uwWeaecMqa9T/opytzYAUXt8Dw==","signature_status":"signed_v1","signed_at":"2026-07-05T05:51:26.522776Z","signed_message":"canonical_sha256_bytes"},"source_id":"2208.10118","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:99d715de583a38c2f20e8fac245f5ccc478ca0ea1a9c9a9801217dd91e174427","sha256:4d6e094851b35272bda31623660e6cbc50901bd60165c0d8687f7f3b156e8511"],"state_sha256":"91a1b322d7ab2ab4cd7dd669694d3841958f213a09bf614653b2dcbb3353dd42"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"w8cFUObH9OAsQQd82HI/mB88O59v9vV6PuWN2mFS3DrFZcb3PUMbuilz7brktuilqFBcopJz95aGQl0M3sfnDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-11T03:42:50.310198Z","bundle_sha256":"b1485056472721359c0bce0ba2a17a21d51d54fcb659f2890c4dc6886e7b5652"}}