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We obtained $\\Gamma(J/\\psi\\rightarrow 3\\gamma)=6.8\\times 10^{-4}$ keV, $\\Gamma(\\psi(2S)\\rightarrow 3\\gamma)=2.5\\times 10^{-4}$ keV, $\\Gamma(\\psi(3S)\\rightarrow 3\\gamma)=1.7\\times 10^{-4}$ keV, $\\Gamma(\\Upsilon(1S)\\rightarrow 3\\gamma)=1.5\\times 10^{-5}$ keV, $\\Gamma(\\Upsilon(2S)\\rightarrow 3\\gamma)=5.7\\times 10^{-6}$ keV, $\\Gamma(\\Upsilon(3S)\\rightarrow 3\\gamma)=3"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1006.3898","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2010-06-19T22:02:34Z","cross_cats_sorted":["hep-ex"],"title_canon_sha256":"c95c9d233ef16573627ef5fc2d254b2495a011f13fb267e7367d48b2b3f7c54a","abstract_canon_sha256":"10bb0783bfc00ae8627a7c906f6680564b51fe284bdbe2113c72d8e0812ae4ac"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:33:16.503603Z","signature_b64":"rHhpIOmOziCvnyAPvVG5g6j361znTrPK9m+BZ9kVRKM5PuGDsm7lM0XcTs0zga54SHAW3tNeDMAkfmQWLDlkBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b180b4ca3fcf72b0a307f24608703fe0afca8e14b7eb152b82561a63258dceb5","last_reissued_at":"2026-05-18T02:33:16.502944Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:33:16.502944Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Annihilation Rates of Heavy $1^{--}$ S-wave Quarkonia in Salpeter Method","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-ex"],"primary_cat":"hep-ph","authors_text":"Guo-Li Wang, Hui-feng Fu, Xiang-Jun Chen","submitted_at":"2010-06-19T22:02:34Z","abstract_excerpt":"The annihilation rates of vector $1^{--}$ charmonium and bottomonium $^3S_1$ states $V \\rightarrow e^+e^-$ and $V\\rightarrow 3\\gamma$, $V \\rightarrow \\gamma gg$ and $V \\rightarrow 3g$ are estimated in the relativistic Salpeter method. We obtained $\\Gamma(J/\\psi\\rightarrow 3\\gamma)=6.8\\times 10^{-4}$ keV, $\\Gamma(\\psi(2S)\\rightarrow 3\\gamma)=2.5\\times 10^{-4}$ keV, $\\Gamma(\\psi(3S)\\rightarrow 3\\gamma)=1.7\\times 10^{-4}$ keV, $\\Gamma(\\Upsilon(1S)\\rightarrow 3\\gamma)=1.5\\times 10^{-5}$ keV, $\\Gamma(\\Upsilon(2S)\\rightarrow 3\\gamma)=5.7\\times 10^{-6}$ keV, $\\Gamma(\\Upsilon(3S)\\rightarrow 3\\gamma)=3"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1006.3898","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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1006.3898","created_at":"2026-05-18T02:33:16.503034+00:00"},{"alias_kind":"arxiv_version","alias_value":"1006.3898v2","created_at":"2026-05-18T02:33:16.503034+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1006.3898","created_at":"2026-05-18T02:33:16.503034+00:00"},{"alias_kind":"pith_short_12","alias_value":"WGALJSR7Z5ZL","created_at":"2026-05-18T12:26:15.391820+00:00"},{"alias_kind":"pith_short_16","alias_value":"WGALJSR7Z5ZLBIYH","created_at":"2026-05-18T12:26:15.391820+00:00"},{"alias_kind":"pith_short_8","alias_value":"WGALJSR7","created_at":"2026-05-18T12:26:15.391820+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/WGALJSR7Z5ZLBIYH6JDAQ4B74C","json":"https://pith.science/pith/WGALJSR7Z5ZLBIYH6JDAQ4B74C.json","graph_json":"https://pith.science/api/pith-number/WGALJSR7Z5ZLBIYH6JDAQ4B74C/graph.json","events_json":"https://pith.science/api/pith-number/WGALJSR7Z5ZLBIYH6JDAQ4B74C/events.json","paper":"https://pith.science/paper/WGALJSR7"},"agent_actions":{"view_html":"https://pith.science/pith/WGALJSR7Z5ZLBIYH6JDAQ4B74C","download_json":"https://pith.science/pith/WGALJSR7Z5ZLBIYH6JDAQ4B74C.json","view_paper":"https://pith.science/paper/WGALJSR7","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1006.3898&json=true","fetch_graph":"https://pith.science/api/pith-number/WGALJSR7Z5ZLBIYH6JDAQ4B74C/graph.json","fetch_events":"https://pith.science/api/pith-number/WGALJSR7Z5ZLBIYH6JDAQ4B74C/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/WGALJSR7Z5ZLBIYH6JDAQ4B74C/action/timestamp_anchor","attest_storage":"https://pith.science/pith/WGALJSR7Z5ZLBIYH6JDAQ4B74C/action/storage_attestation","attest_author":"https://pith.science/pith/WGALJSR7Z5ZLBIYH6JDAQ4B74C/action/author_attestation","sign_citation":"https://pith.science/pith/WGALJSR7Z5ZLBIYH6JDAQ4B74C/action/citation_signature","submit_replication":"https://pith.science/pith/WGALJSR7Z5ZLBIYH6JDAQ4B74C/action/replication_record"}},"created_at":"2026-05-18T02:33:16.503034+00:00","updated_at":"2026-05-18T02:33:16.503034+00:00"}