{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:SOLMRPBC7MANUCXB75PV5Y5OY6","short_pith_number":"pith:SOLMRPBC","canonical_record":{"source":{"id":"1103.0137","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mtrl-sci","submitted_at":"2011-03-01T11:18:36Z","cross_cats_sorted":[],"title_canon_sha256":"3ec180a4de247c6b45161ea2f94df600d2b110cab4e6d3334e4783c399b9568d","abstract_canon_sha256":"4e70f0c7e60e2f40d19745e9840967eb118f92a77c0bf30900e647b57eb0c031"},"schema_version":"1.0"},"canonical_sha256":"9396c8bc22fb00da0ae1ff5f5ee3aec7a8f93f820bf311f2dcce8a59ebbb6cfc","source":{"kind":"arxiv","id":"1103.0137","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1103.0137","created_at":"2026-05-18T02:03:01Z"},{"alias_kind":"arxiv_version","alias_value":"1103.0137v1","created_at":"2026-05-18T02:03:01Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1103.0137","created_at":"2026-05-18T02:03:01Z"},{"alias_kind":"pith_short_12","alias_value":"SOLMRPBC7MAN","created_at":"2026-05-18T12:26:41Z"},{"alias_kind":"pith_short_16","alias_value":"SOLMRPBC7MANUCXB","created_at":"2026-05-18T12:26:41Z"},{"alias_kind":"pith_short_8","alias_value":"SOLMRPBC","created_at":"2026-05-18T12:26:41Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:SOLMRPBC7MANUCXB75PV5Y5OY6","target":"record","payload":{"canonical_record":{"source":{"id":"1103.0137","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mtrl-sci","submitted_at":"2011-03-01T11:18:36Z","cross_cats_sorted":[],"title_canon_sha256":"3ec180a4de247c6b45161ea2f94df600d2b110cab4e6d3334e4783c399b9568d","abstract_canon_sha256":"4e70f0c7e60e2f40d19745e9840967eb118f92a77c0bf30900e647b57eb0c031"},"schema_version":"1.0"},"canonical_sha256":"9396c8bc22fb00da0ae1ff5f5ee3aec7a8f93f820bf311f2dcce8a59ebbb6cfc","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:03:01.809918Z","signature_b64":"4B7q2+nNB/iDqzlxObzjD4bG6PkL0NzRKtDQGb5o76NaCu/K6MP+3ZmHW3JuXnO84kdptLUwPpagSI315gCsAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"9396c8bc22fb00da0ae1ff5f5ee3aec7a8f93f820bf311f2dcce8a59ebbb6cfc","last_reissued_at":"2026-05-18T02:03:01.809165Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:03:01.809165Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1103.0137","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":"2026-05-18T02:03:01Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"/Wj4j98+xZL1Dn3UWi8UYCgXFYC8db6Mbg8Iswmn3VpZsqjpEmsqZuHHPHA3+SFoJz6Qz6oODvcp76+xAccAAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-21T16:41:35.322608Z"},"content_sha256":"5b192e9da82417576bd7adc457de19a83df5e0f1a337b3ee590b48ebffb1b857","schema_version":"1.0","event_id":"sha256:5b192e9da82417576bd7adc457de19a83df5e0f1a337b3ee590b48ebffb1b857"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:SOLMRPBC7MANUCXB75PV5Y5OY6","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Phonon-phonon interactions in transition metals","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.mtrl-sci","authors_text":"Atsushi Togo, Gilles Hug, Isao Tanaka, Laurent Chaput","submitted_at":"2011-03-01T11:18:36Z","abstract_excerpt":"In this paper the phonon self energy produced by anharmonicity is calculated using second order many body perturbation theory for all bcc, fcc and hcp transition metals. The symmetry properties of the phonon interactions are used to obtain an expression for the self energy as a sum over irreducible triplets, very similar to integration in the irreducible part of the Brillouin zone for one particle properties. The results obtained for transition metals shows that the lifetime is on the order of 10^10 s. Moreover the Peierls approximation for the imaginary part of the self energy is shown to be "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1103.0137","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":"2026-05-18T02:03:01Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"25b/UzIdLQo9P1b8rLdEgi5b/lHrJKaUWpii56RA7M5hKlfh8rIA6plNnkPN1d5MIeOe0ESLWOOE+cnICgGqBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-21T16:41:35.323188Z"},"content_sha256":"ed01c167163ba8a6b75986cee92d73fd0209d5757e666e3e2316954d63bd4325","schema_version":"1.0","event_id":"sha256:ed01c167163ba8a6b75986cee92d73fd0209d5757e666e3e2316954d63bd4325"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/SOLMRPBC7MANUCXB75PV5Y5OY6/bundle.json","state_url":"https://pith.science/pith/SOLMRPBC7MANUCXB75PV5Y5OY6/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/SOLMRPBC7MANUCXB75PV5Y5OY6/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":"2026-05-21T16:41:35Z","links":{"resolver":"https://pith.science/pith/SOLMRPBC7MANUCXB75PV5Y5OY6","bundle":"https://pith.science/pith/SOLMRPBC7MANUCXB75PV5Y5OY6/bundle.json","state":"https://pith.science/pith/SOLMRPBC7MANUCXB75PV5Y5OY6/state.json","well_known_bundle":"https://pith.science/.well-known/pith/SOLMRPBC7MANUCXB75PV5Y5OY6/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:SOLMRPBC7MANUCXB75PV5Y5OY6","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":"4e70f0c7e60e2f40d19745e9840967eb118f92a77c0bf30900e647b57eb0c031","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mtrl-sci","submitted_at":"2011-03-01T11:18:36Z","title_canon_sha256":"3ec180a4de247c6b45161ea2f94df600d2b110cab4e6d3334e4783c399b9568d"},"schema_version":"1.0","source":{"id":"1103.0137","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1103.0137","created_at":"2026-05-18T02:03:01Z"},{"alias_kind":"arxiv_version","alias_value":"1103.0137v1","created_at":"2026-05-18T02:03:01Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1103.0137","created_at":"2026-05-18T02:03:01Z"},{"alias_kind":"pith_short_12","alias_value":"SOLMRPBC7MAN","created_at":"2026-05-18T12:26:41Z"},{"alias_kind":"pith_short_16","alias_value":"SOLMRPBC7MANUCXB","created_at":"2026-05-18T12:26:41Z"},{"alias_kind":"pith_short_8","alias_value":"SOLMRPBC","created_at":"2026-05-18T12:26:41Z"}],"graph_snapshots":[{"event_id":"sha256:ed01c167163ba8a6b75986cee92d73fd0209d5757e666e3e2316954d63bd4325","target":"graph","created_at":"2026-05-18T02:03:01Z","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":"In this paper the phonon self energy produced by anharmonicity is calculated using second order many body perturbation theory for all bcc, fcc and hcp transition metals. The symmetry properties of the phonon interactions are used to obtain an expression for the self energy as a sum over irreducible triplets, very similar to integration in the irreducible part of the Brillouin zone for one particle properties. The results obtained for transition metals shows that the lifetime is on the order of 10^10 s. Moreover the Peierls approximation for the imaginary part of the self energy is shown to be ","authors_text":"Atsushi Togo, Gilles Hug, Isao Tanaka, Laurent Chaput","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mtrl-sci","submitted_at":"2011-03-01T11:18:36Z","title":"Phonon-phonon interactions in transition metals"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1103.0137","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":"sha256:5b192e9da82417576bd7adc457de19a83df5e0f1a337b3ee590b48ebffb1b857","target":"record","created_at":"2026-05-18T02:03:01Z","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":"4e70f0c7e60e2f40d19745e9840967eb118f92a77c0bf30900e647b57eb0c031","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mtrl-sci","submitted_at":"2011-03-01T11:18:36Z","title_canon_sha256":"3ec180a4de247c6b45161ea2f94df600d2b110cab4e6d3334e4783c399b9568d"},"schema_version":"1.0","source":{"id":"1103.0137","kind":"arxiv","version":1}},"canonical_sha256":"9396c8bc22fb00da0ae1ff5f5ee3aec7a8f93f820bf311f2dcce8a59ebbb6cfc","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9396c8bc22fb00da0ae1ff5f5ee3aec7a8f93f820bf311f2dcce8a59ebbb6cfc","first_computed_at":"2026-05-18T02:03:01.809165Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:03:01.809165Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"4B7q2+nNB/iDqzlxObzjD4bG6PkL0NzRKtDQGb5o76NaCu/K6MP+3ZmHW3JuXnO84kdptLUwPpagSI315gCsAA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:03:01.809918Z","signed_message":"canonical_sha256_bytes"},"source_id":"1103.0137","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5b192e9da82417576bd7adc457de19a83df5e0f1a337b3ee590b48ebffb1b857","sha256:ed01c167163ba8a6b75986cee92d73fd0209d5757e666e3e2316954d63bd4325"],"state_sha256":"21fbc77e28799ed7e10ece7f2813ffc4ca2aef31f945690d038feeef8177fd78"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"SUtExHPNmJQaWzlpCwGMi1GImsOL4rtQmGvm/Gr71nEvAGoGkkq3Q0EgjF6XKz4D9KlNaYq7jFbB/C73gtCyAQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-21T16:41:35.325501Z","bundle_sha256":"58bf2fb2fcb37835b077fba4000805004c7cdd086ddeea5c04b5b882ebf37271"}}