{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:LR32ADQYCHZXH2CKSL7LPK6HFV","short_pith_number":"pith:LR32ADQY","canonical_record":{"source":{"id":"1105.2247","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2011-05-11T16:41:01Z","cross_cats_sorted":["math.FA","math.MP","math.SP"],"title_canon_sha256":"2bcca125c55a4744d6375e8df31165fd237645b330e0ba0b67bbe8f27abfaaeb","abstract_canon_sha256":"a15e20b69cac264e782fba4cfcb82d3d66cd4e325e340855e2011dccb789c50b"},"schema_version":"1.0"},"canonical_sha256":"5c77a00e1811f373e84a92feb7abc72d7b396505fb5f539dce43fa6fb04a0577","source":{"kind":"arxiv","id":"1105.2247","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1105.2247","created_at":"2026-05-18T02:01:59Z"},{"alias_kind":"arxiv_version","alias_value":"1105.2247v1","created_at":"2026-05-18T02:01:59Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1105.2247","created_at":"2026-05-18T02:01:59Z"},{"alias_kind":"pith_short_12","alias_value":"LR32ADQYCHZX","created_at":"2026-05-18T12:26:34Z"},{"alias_kind":"pith_short_16","alias_value":"LR32ADQYCHZXH2CK","created_at":"2026-05-18T12:26:34Z"},{"alias_kind":"pith_short_8","alias_value":"LR32ADQY","created_at":"2026-05-18T12:26:34Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:LR32ADQYCHZXH2CKSL7LPK6HFV","target":"record","payload":{"canonical_record":{"source":{"id":"1105.2247","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2011-05-11T16:41:01Z","cross_cats_sorted":["math.FA","math.MP","math.SP"],"title_canon_sha256":"2bcca125c55a4744d6375e8df31165fd237645b330e0ba0b67bbe8f27abfaaeb","abstract_canon_sha256":"a15e20b69cac264e782fba4cfcb82d3d66cd4e325e340855e2011dccb789c50b"},"schema_version":"1.0"},"canonical_sha256":"5c77a00e1811f373e84a92feb7abc72d7b396505fb5f539dce43fa6fb04a0577","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:01:59.546971Z","signature_b64":"ZD75MDmxJsryukGGLNZKZmvcjDVIYLKK3Px+s+pRHHMQu0Q7TpTtKlviSGw0+e/ioS7QN7tjZ7+PJ3zGE1VsDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5c77a00e1811f373e84a92feb7abc72d7b396505fb5f539dce43fa6fb04a0577","last_reissued_at":"2026-05-18T02:01:59.546302Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:01:59.546302Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1105.2247","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:01:59Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"YQAmV4D9m0qSGtfZMZQVWp1Sjgj8IV3lb7xn9XaxRWv6POII0EdnqrfbUVRofRFziARFRnSV8YDkne2nye9pCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-24T15:45:10.983944Z"},"content_sha256":"5d710edf19a94795706abed6b2d02f582077161c2d514ca86243fdaccc848df7","schema_version":"1.0","event_id":"sha256:5d710edf19a94795706abed6b2d02f582077161c2d514ca86243fdaccc848df7"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:LR32ADQYCHZXH2CKSL7LPK6HFV","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Spectral theory for a mathematical model of the weak interaction: The decay of the intermediate vector bosons W+/-, II","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.FA","math.MP","math.SP"],"primary_cat":"math-ph","authors_text":"Jean-Claude Guillot, Jean-Marie Barbaroux, J\\'er\\'emy Faupin, Walter H. Aschbacher","submitted_at":"2011-05-11T16:41:01Z","abstract_excerpt":"We do the spectral analysis of the Hamiltonian for the weak leptonic decay of the gauge bosons W+/-. Using Mourre theory, it is shown that the spectrum between the unique ground state and the first threshold is purely absolutely continuous. Neither sharp neutrino high energy cutoff nor infrared regularization are assumed."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1105.2247","kind":"arxiv","version":1},"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":"2026-05-18T02:01:59Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"/HNktQdKuOCGy2L2uRWoxtrrmKNZLx4D7vbj2hHeDbavHw0PgFsBt5efyoRjQQ6iCkhGr0UUkmdQQPIlnSGJDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-24T15:45:10.984297Z"},"content_sha256":"82532b2a939096a774c5a570de39449ee701463b5b61f0ebd1a1601e55dffb9c","schema_version":"1.0","event_id":"sha256:82532b2a939096a774c5a570de39449ee701463b5b61f0ebd1a1601e55dffb9c"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/LR32ADQYCHZXH2CKSL7LPK6HFV/bundle.json","state_url":"https://pith.science/pith/LR32ADQYCHZXH2CKSL7LPK6HFV/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/LR32ADQYCHZXH2CKSL7LPK6HFV/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":"2026-05-24T15:45:10Z","links":{"resolver":"https://pith.science/pith/LR32ADQYCHZXH2CKSL7LPK6HFV","bundle":"https://pith.science/pith/LR32ADQYCHZXH2CKSL7LPK6HFV/bundle.json","state":"https://pith.science/pith/LR32ADQYCHZXH2CKSL7LPK6HFV/state.json","well_known_bundle":"https://pith.science/.well-known/pith/LR32ADQYCHZXH2CKSL7LPK6HFV/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:LR32ADQYCHZXH2CKSL7LPK6HFV","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":"a15e20b69cac264e782fba4cfcb82d3d66cd4e325e340855e2011dccb789c50b","cross_cats_sorted":["math.FA","math.MP","math.SP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2011-05-11T16:41:01Z","title_canon_sha256":"2bcca125c55a4744d6375e8df31165fd237645b330e0ba0b67bbe8f27abfaaeb"},"schema_version":"1.0","source":{"id":"1105.2247","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1105.2247","created_at":"2026-05-18T02:01:59Z"},{"alias_kind":"arxiv_version","alias_value":"1105.2247v1","created_at":"2026-05-18T02:01:59Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1105.2247","created_at":"2026-05-18T02:01:59Z"},{"alias_kind":"pith_short_12","alias_value":"LR32ADQYCHZX","created_at":"2026-05-18T12:26:34Z"},{"alias_kind":"pith_short_16","alias_value":"LR32ADQYCHZXH2CK","created_at":"2026-05-18T12:26:34Z"},{"alias_kind":"pith_short_8","alias_value":"LR32ADQY","created_at":"2026-05-18T12:26:34Z"}],"graph_snapshots":[{"event_id":"sha256:82532b2a939096a774c5a570de39449ee701463b5b61f0ebd1a1601e55dffb9c","target":"graph","created_at":"2026-05-18T02:01:59Z","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 do the spectral analysis of the Hamiltonian for the weak leptonic decay of the gauge bosons W+/-. Using Mourre theory, it is shown that the spectrum between the unique ground state and the first threshold is purely absolutely continuous. Neither sharp neutrino high energy cutoff nor infrared regularization are assumed.","authors_text":"Jean-Claude Guillot, Jean-Marie Barbaroux, J\\'er\\'emy Faupin, Walter H. Aschbacher","cross_cats":["math.FA","math.MP","math.SP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2011-05-11T16:41:01Z","title":"Spectral theory for a mathematical model of the weak interaction: The decay of the intermediate vector bosons W+/-, II"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1105.2247","kind":"arxiv","version":1},"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":"sha256:5d710edf19a94795706abed6b2d02f582077161c2d514ca86243fdaccc848df7","target":"record","created_at":"2026-05-18T02:01:59Z","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":"a15e20b69cac264e782fba4cfcb82d3d66cd4e325e340855e2011dccb789c50b","cross_cats_sorted":["math.FA","math.MP","math.SP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2011-05-11T16:41:01Z","title_canon_sha256":"2bcca125c55a4744d6375e8df31165fd237645b330e0ba0b67bbe8f27abfaaeb"},"schema_version":"1.0","source":{"id":"1105.2247","kind":"arxiv","version":1}},"canonical_sha256":"5c77a00e1811f373e84a92feb7abc72d7b396505fb5f539dce43fa6fb04a0577","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5c77a00e1811f373e84a92feb7abc72d7b396505fb5f539dce43fa6fb04a0577","first_computed_at":"2026-05-18T02:01:59.546302Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:01:59.546302Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ZD75MDmxJsryukGGLNZKZmvcjDVIYLKK3Px+s+pRHHMQu0Q7TpTtKlviSGw0+e/ioS7QN7tjZ7+PJ3zGE1VsDw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:01:59.546971Z","signed_message":"canonical_sha256_bytes"},"source_id":"1105.2247","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5d710edf19a94795706abed6b2d02f582077161c2d514ca86243fdaccc848df7","sha256:82532b2a939096a774c5a570de39449ee701463b5b61f0ebd1a1601e55dffb9c"],"state_sha256":"ab5f543a10c16a142c5a88fa88fc8ebf6c08da4093789e8f5e2788bb7d723ab9"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"gURYW3SGAAvT7skEtpqvDUsOCW2JwUAGPs+7MG2clWoWNUaGIRw8HmK7WnnmhYuBc2RYTFv9ve0lGuh+f1SYAQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-24T15:45:10.986637Z","bundle_sha256":"d79d40f0ed6ecf5a585e2faadb14173bb7533767dee9dcd25bf5871d9cf66917"}}