{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:7E5EY5QXHVGPIPEOSZJEYDBL5C","short_pith_number":"pith:7E5EY5QX","canonical_record":{"source":{"id":"1611.07814","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2016-11-23T14:27:15Z","cross_cats_sorted":["math.MP","math.SP"],"title_canon_sha256":"9cd0f46397071f28a56a9c4c8ae7ac9c25f1f536c390b118df8eb5493078b2e1","abstract_canon_sha256":"609a285c9a11e747c8c47fdc509a6210b1a475d5c2cb7584c2fca1be79d91475"},"schema_version":"1.0"},"canonical_sha256":"f93a4c76173d4cf43c8e96524c0c2be89e1f14e99243a5ad00255848a7b4b7d7","source":{"kind":"arxiv","id":"1611.07814","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1611.07814","created_at":"2026-05-18T00:56:59Z"},{"alias_kind":"arxiv_version","alias_value":"1611.07814v1","created_at":"2026-05-18T00:56:59Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1611.07814","created_at":"2026-05-18T00:56:59Z"},{"alias_kind":"pith_short_12","alias_value":"7E5EY5QXHVGP","created_at":"2026-05-18T12:30:04Z"},{"alias_kind":"pith_short_16","alias_value":"7E5EY5QXHVGPIPEO","created_at":"2026-05-18T12:30:04Z"},{"alias_kind":"pith_short_8","alias_value":"7E5EY5QX","created_at":"2026-05-18T12:30:04Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:7E5EY5QXHVGPIPEOSZJEYDBL5C","target":"record","payload":{"canonical_record":{"source":{"id":"1611.07814","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2016-11-23T14:27:15Z","cross_cats_sorted":["math.MP","math.SP"],"title_canon_sha256":"9cd0f46397071f28a56a9c4c8ae7ac9c25f1f536c390b118df8eb5493078b2e1","abstract_canon_sha256":"609a285c9a11e747c8c47fdc509a6210b1a475d5c2cb7584c2fca1be79d91475"},"schema_version":"1.0"},"canonical_sha256":"f93a4c76173d4cf43c8e96524c0c2be89e1f14e99243a5ad00255848a7b4b7d7","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:56:59.747259Z","signature_b64":"jOD/49TRvmxfZi0vc6F3VaGnoOGt2OQoVfTZDTdv/r+cBJyNnL9ujAnEHhkhnj/eMoXLIOy7Xapltv7UDqtVBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f93a4c76173d4cf43c8e96524c0c2be89e1f14e99243a5ad00255848a7b4b7d7","last_reissued_at":"2026-05-18T00:56:59.746631Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:56:59.746631Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1611.07814","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":"2026-05-18T00:56:59Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"NxLcNIkXAnciUr0vUmcwfDI+fbk9QUkMdGVDWcUWdOkip7yA/2OiD49MmDyVf3MaNS0MdyTaAebUjK+v1vEpBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-24T04:14:59.763153Z"},"content_sha256":"a3029522617f16b0ac996560b12b1be5feb95cbe0cbf5845ed11fc3a1b3ce282","schema_version":"1.0","event_id":"sha256:a3029522617f16b0ac996560b12b1be5feb95cbe0cbf5845ed11fc3a1b3ce282"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:7E5EY5QXHVGPIPEOSZJEYDBL5C","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Local Decay for Weak Interactions with Massless Particles","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.MP","math.SP"],"primary_cat":"math-ph","authors_text":"Jean-Claude Guillot, Jean-Marie Barbaroux, J\\'er\\'emy Faupin","submitted_at":"2016-11-23T14:27:15Z","abstract_excerpt":"We consider a mathematical model for the weak decay of the intermediate boson $Z^0$ into neutrinos and antineutrinos. We prove that the total Hamiltonian has a unique ground state in Fock space and we establish a limiting absorption principle, local decay and a property of relaxation to the ground state for initial states and observables suitably localized in energy and position. Our proofs rest, in particular, on Mourre's theory and a low-energy decomposition."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1611.07814","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":"2026-05-18T00:56:59Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Y5I7CrC02tBlBt+r3LRviQ06iB+umuJtKkRYaGl6ZS0CZrU3zMnkrZdlGmvZYtzIRJkXgUlEFu8NvQmOXey6Cg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-24T04:14:59.763870Z"},"content_sha256":"d84e3b219f429982b429436adea18b36ea1a23db855fc758a3affeeed4c5328e","schema_version":"1.0","event_id":"sha256:d84e3b219f429982b429436adea18b36ea1a23db855fc758a3affeeed4c5328e"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/7E5EY5QXHVGPIPEOSZJEYDBL5C/bundle.json","state_url":"https://pith.science/pith/7E5EY5QXHVGPIPEOSZJEYDBL5C/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/7E5EY5QXHVGPIPEOSZJEYDBL5C/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":"2026-05-24T04:14:59Z","links":{"resolver":"https://pith.science/pith/7E5EY5QXHVGPIPEOSZJEYDBL5C","bundle":"https://pith.science/pith/7E5EY5QXHVGPIPEOSZJEYDBL5C/bundle.json","state":"https://pith.science/pith/7E5EY5QXHVGPIPEOSZJEYDBL5C/state.json","well_known_bundle":"https://pith.science/.well-known/pith/7E5EY5QXHVGPIPEOSZJEYDBL5C/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:7E5EY5QXHVGPIPEOSZJEYDBL5C","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":"609a285c9a11e747c8c47fdc509a6210b1a475d5c2cb7584c2fca1be79d91475","cross_cats_sorted":["math.MP","math.SP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2016-11-23T14:27:15Z","title_canon_sha256":"9cd0f46397071f28a56a9c4c8ae7ac9c25f1f536c390b118df8eb5493078b2e1"},"schema_version":"1.0","source":{"id":"1611.07814","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1611.07814","created_at":"2026-05-18T00:56:59Z"},{"alias_kind":"arxiv_version","alias_value":"1611.07814v1","created_at":"2026-05-18T00:56:59Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1611.07814","created_at":"2026-05-18T00:56:59Z"},{"alias_kind":"pith_short_12","alias_value":"7E5EY5QXHVGP","created_at":"2026-05-18T12:30:04Z"},{"alias_kind":"pith_short_16","alias_value":"7E5EY5QXHVGPIPEO","created_at":"2026-05-18T12:30:04Z"},{"alias_kind":"pith_short_8","alias_value":"7E5EY5QX","created_at":"2026-05-18T12:30:04Z"}],"graph_snapshots":[{"event_id":"sha256:d84e3b219f429982b429436adea18b36ea1a23db855fc758a3affeeed4c5328e","target":"graph","created_at":"2026-05-18T00:56:59Z","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 consider a mathematical model for the weak decay of the intermediate boson $Z^0$ into neutrinos and antineutrinos. We prove that the total Hamiltonian has a unique ground state in Fock space and we establish a limiting absorption principle, local decay and a property of relaxation to the ground state for initial states and observables suitably localized in energy and position. Our proofs rest, in particular, on Mourre's theory and a low-energy decomposition.","authors_text":"Jean-Claude Guillot, Jean-Marie Barbaroux, J\\'er\\'emy Faupin","cross_cats":["math.MP","math.SP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2016-11-23T14:27:15Z","title":"Local Decay for Weak Interactions with Massless Particles"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1611.07814","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:a3029522617f16b0ac996560b12b1be5feb95cbe0cbf5845ed11fc3a1b3ce282","target":"record","created_at":"2026-05-18T00:56:59Z","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":"609a285c9a11e747c8c47fdc509a6210b1a475d5c2cb7584c2fca1be79d91475","cross_cats_sorted":["math.MP","math.SP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2016-11-23T14:27:15Z","title_canon_sha256":"9cd0f46397071f28a56a9c4c8ae7ac9c25f1f536c390b118df8eb5493078b2e1"},"schema_version":"1.0","source":{"id":"1611.07814","kind":"arxiv","version":1}},"canonical_sha256":"f93a4c76173d4cf43c8e96524c0c2be89e1f14e99243a5ad00255848a7b4b7d7","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f93a4c76173d4cf43c8e96524c0c2be89e1f14e99243a5ad00255848a7b4b7d7","first_computed_at":"2026-05-18T00:56:59.746631Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:56:59.746631Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"jOD/49TRvmxfZi0vc6F3VaGnoOGt2OQoVfTZDTdv/r+cBJyNnL9ujAnEHhkhnj/eMoXLIOy7Xapltv7UDqtVBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:56:59.747259Z","signed_message":"canonical_sha256_bytes"},"source_id":"1611.07814","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a3029522617f16b0ac996560b12b1be5feb95cbe0cbf5845ed11fc3a1b3ce282","sha256:d84e3b219f429982b429436adea18b36ea1a23db855fc758a3affeeed4c5328e"],"state_sha256":"145d156154550ba87e910e3ca038cf4e5895f40cd7e11a7bf98c1f959c4187ff"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"jcqXZx3SS/XDXagisoCZ5rAjRd+8T8pTQ8MUcSpFsdebioVjjKByUQlUVa2HkaOrM+ex7deArzVA8wKsfOrOCg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-24T04:14:59.767201Z","bundle_sha256":"b1995202ee5f0d49ae74d4a8c8ab949c83f229c181c788b4af098c1d263433c1"}}