{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2002:C2MG5I5YV26OUUYTZCXXO2QYWR","short_pith_number":"pith:C2MG5I5Y","canonical_record":{"source":{"id":"hep-ph/0201272","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"hep-ph","submitted_at":"2002-01-29T17:22:46Z","cross_cats_sorted":["astro-ph","gr-qc","hep-th","quant-ph"],"title_canon_sha256":"f9604761de1496cccf8a9b620f2eeacc1975fca0a1765a8809a1ad519b6f8d3e","abstract_canon_sha256":"5897675b543c3ca5e7492f8eded85fb25787a98e031820d6c4746d7d88c66914"},"schema_version":"1.0"},"canonical_sha256":"16986ea3b8aebcea5313c8af776a18b45d2bfb6dcd091aa3f6e3f5825a6c7344","source":{"kind":"arxiv","id":"hep-ph/0201272","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-ph/0201272","created_at":"2026-05-18T02:36:38Z"},{"alias_kind":"arxiv_version","alias_value":"hep-ph/0201272v2","created_at":"2026-05-18T02:36:38Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-ph/0201272","created_at":"2026-05-18T02:36:38Z"},{"alias_kind":"pith_short_12","alias_value":"C2MG5I5YV26O","created_at":"2026-05-18T12:25:50Z"},{"alias_kind":"pith_short_16","alias_value":"C2MG5I5YV26OUUYT","created_at":"2026-05-18T12:25:50Z"},{"alias_kind":"pith_short_8","alias_value":"C2MG5I5Y","created_at":"2026-05-18T12:25:50Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2002:C2MG5I5YV26OUUYTZCXXO2QYWR","target":"record","payload":{"canonical_record":{"source":{"id":"hep-ph/0201272","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"hep-ph","submitted_at":"2002-01-29T17:22:46Z","cross_cats_sorted":["astro-ph","gr-qc","hep-th","quant-ph"],"title_canon_sha256":"f9604761de1496cccf8a9b620f2eeacc1975fca0a1765a8809a1ad519b6f8d3e","abstract_canon_sha256":"5897675b543c3ca5e7492f8eded85fb25787a98e031820d6c4746d7d88c66914"},"schema_version":"1.0"},"canonical_sha256":"16986ea3b8aebcea5313c8af776a18b45d2bfb6dcd091aa3f6e3f5825a6c7344","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:36:38.597643Z","signature_b64":"pYgwsLWHDJ4uIni6O/nlmOZLiSq774G0MqIN657fLazj7HHme2wNa8+MF+ldGHBd3Bn4KMtE+6qFVU2KphlnBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"16986ea3b8aebcea5313c8af776a18b45d2bfb6dcd091aa3f6e3f5825a6c7344","last_reissued_at":"2026-05-18T02:36:38.597023Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:36:38.597023Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"hep-ph/0201272","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":"2026-05-18T02:36:38Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"uLCot4kVAWSwuObzcut/LlvpxmRfU0OnXr+H2tRtAu0NIuMkY1qY+LsyOdwL3gtwZCjNNUi3z5vmZOeY5DWEDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-10T03:24:56.875880Z"},"content_sha256":"cb33e3f6e35758106a27aec38f162b0c2d871429e331d631391356d9866b617b","schema_version":"1.0","event_id":"sha256:cb33e3f6e35758106a27aec38f162b0c2d871429e331d631391356d9866b617b"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2002:C2MG5I5YV26OUUYTZCXXO2QYWR","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On masses of unstable particles and their antiparticles in the CPT-invariant system","license":"","headline":"","cross_cats":["astro-ph","gr-qc","hep-th","quant-ph"],"primary_cat":"hep-ph","authors_text":"K. Urbanowski","submitted_at":"2002-01-29T17:22:46Z","abstract_excerpt":"We show that the diagonal matrix elements of the effective Hamiltonian governing the time evolution in the subspace of states of an unstable particle and its antiparticle need not be equal at $t > t_{0}$ ($t_{0}$ is the instant of creation of the pair) when the total system under consideration is CPT invariant but CP noninvariant. To achieve this we use the transition amplitudes for transitions $|{\\bf 1}> \\to |{\\bf 2}>$, $|{\\bf 2}> \\to |{\\bf 1}>$ together with the identity expressing the effective Hamiltonian by these amplitudes and their derivatives with respect to time $t$. This identity mus"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-ph/0201272","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":"2026-05-18T02:36:38Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"95u0CjlSCFUwTAjIZxqrRgD88yvODD1RSV0d/eHQqyleXmtIfwSetGJpNF9CYSQ5Bf3F1ndoAbhlsoF1oXohAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-10T03:24:56.876581Z"},"content_sha256":"bd629f27e1f2b15264c42e877464f770a24741e4d8f5c38eadc530ee5edf0bc0","schema_version":"1.0","event_id":"sha256:bd629f27e1f2b15264c42e877464f770a24741e4d8f5c38eadc530ee5edf0bc0"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/C2MG5I5YV26OUUYTZCXXO2QYWR/bundle.json","state_url":"https://pith.science/pith/C2MG5I5YV26OUUYTZCXXO2QYWR/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/C2MG5I5YV26OUUYTZCXXO2QYWR/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":"2026-06-10T03:24:56Z","links":{"resolver":"https://pith.science/pith/C2MG5I5YV26OUUYTZCXXO2QYWR","bundle":"https://pith.science/pith/C2MG5I5YV26OUUYTZCXXO2QYWR/bundle.json","state":"https://pith.science/pith/C2MG5I5YV26OUUYTZCXXO2QYWR/state.json","well_known_bundle":"https://pith.science/.well-known/pith/C2MG5I5YV26OUUYTZCXXO2QYWR/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2002:C2MG5I5YV26OUUYTZCXXO2QYWR","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":"5897675b543c3ca5e7492f8eded85fb25787a98e031820d6c4746d7d88c66914","cross_cats_sorted":["astro-ph","gr-qc","hep-th","quant-ph"],"license":"","primary_cat":"hep-ph","submitted_at":"2002-01-29T17:22:46Z","title_canon_sha256":"f9604761de1496cccf8a9b620f2eeacc1975fca0a1765a8809a1ad519b6f8d3e"},"schema_version":"1.0","source":{"id":"hep-ph/0201272","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-ph/0201272","created_at":"2026-05-18T02:36:38Z"},{"alias_kind":"arxiv_version","alias_value":"hep-ph/0201272v2","created_at":"2026-05-18T02:36:38Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-ph/0201272","created_at":"2026-05-18T02:36:38Z"},{"alias_kind":"pith_short_12","alias_value":"C2MG5I5YV26O","created_at":"2026-05-18T12:25:50Z"},{"alias_kind":"pith_short_16","alias_value":"C2MG5I5YV26OUUYT","created_at":"2026-05-18T12:25:50Z"},{"alias_kind":"pith_short_8","alias_value":"C2MG5I5Y","created_at":"2026-05-18T12:25:50Z"}],"graph_snapshots":[{"event_id":"sha256:bd629f27e1f2b15264c42e877464f770a24741e4d8f5c38eadc530ee5edf0bc0","target":"graph","created_at":"2026-05-18T02:36:38Z","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 show that the diagonal matrix elements of the effective Hamiltonian governing the time evolution in the subspace of states of an unstable particle and its antiparticle need not be equal at $t > t_{0}$ ($t_{0}$ is the instant of creation of the pair) when the total system under consideration is CPT invariant but CP noninvariant. To achieve this we use the transition amplitudes for transitions $|{\\bf 1}> \\to |{\\bf 2}>$, $|{\\bf 2}> \\to |{\\bf 1}>$ together with the identity expressing the effective Hamiltonian by these amplitudes and their derivatives with respect to time $t$. This identity mus","authors_text":"K. Urbanowski","cross_cats":["astro-ph","gr-qc","hep-th","quant-ph"],"headline":"","license":"","primary_cat":"hep-ph","submitted_at":"2002-01-29T17:22:46Z","title":"On masses of unstable particles and their antiparticles in the CPT-invariant system"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-ph/0201272","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:cb33e3f6e35758106a27aec38f162b0c2d871429e331d631391356d9866b617b","target":"record","created_at":"2026-05-18T02:36:38Z","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":"5897675b543c3ca5e7492f8eded85fb25787a98e031820d6c4746d7d88c66914","cross_cats_sorted":["astro-ph","gr-qc","hep-th","quant-ph"],"license":"","primary_cat":"hep-ph","submitted_at":"2002-01-29T17:22:46Z","title_canon_sha256":"f9604761de1496cccf8a9b620f2eeacc1975fca0a1765a8809a1ad519b6f8d3e"},"schema_version":"1.0","source":{"id":"hep-ph/0201272","kind":"arxiv","version":2}},"canonical_sha256":"16986ea3b8aebcea5313c8af776a18b45d2bfb6dcd091aa3f6e3f5825a6c7344","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"16986ea3b8aebcea5313c8af776a18b45d2bfb6dcd091aa3f6e3f5825a6c7344","first_computed_at":"2026-05-18T02:36:38.597023Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:36:38.597023Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"pYgwsLWHDJ4uIni6O/nlmOZLiSq774G0MqIN657fLazj7HHme2wNa8+MF+ldGHBd3Bn4KMtE+6qFVU2KphlnBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:36:38.597643Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-ph/0201272","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:cb33e3f6e35758106a27aec38f162b0c2d871429e331d631391356d9866b617b","sha256:bd629f27e1f2b15264c42e877464f770a24741e4d8f5c38eadc530ee5edf0bc0"],"state_sha256":"5518ff8ad4a3dca74cfa85f5b66fbfa1b22f9f6899ed1c970e74e7c3952b3e76"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"KxF9EoLrMpzBDk2CLGPbVmuMsz/JRCYDMuHdLcHK/7rY3sRu/5OPU83NohtqEfZJRDCH6VHhuPTVSDfePizXCQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-10T03:24:56.880615Z","bundle_sha256":"9bd5a69355c33debd3238d5d4f98c1b25fe3fe0f5b17b68c224f41e84aa81860"}}