{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:7KQUX7AO4STIY4S2V2QM5ZPRFY","short_pith_number":"pith:7KQUX7AO","canonical_record":{"source":{"id":"1209.3232","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mtrl-sci","submitted_at":"2012-09-14T15:44:32Z","cross_cats_sorted":["cond-mat.stat-mech","cond-mat.str-el"],"title_canon_sha256":"105c1971693312662d1eaeae52c3b2c212fd03c6fcce95b0f78b9ddefce9b962","abstract_canon_sha256":"5caac7eae85396dfe492d146b9b5a413892a738235832a9e80b0212983831f36"},"schema_version":"1.0"},"canonical_sha256":"faa14bfc0ee4a68c725aaea0cee5f12e31dd2be2c0c4d9543d4e89b362cd8dd6","source":{"kind":"arxiv","id":"1209.3232","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1209.3232","created_at":"2026-05-18T03:45:32Z"},{"alias_kind":"arxiv_version","alias_value":"1209.3232v1","created_at":"2026-05-18T03:45:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1209.3232","created_at":"2026-05-18T03:45:32Z"},{"alias_kind":"pith_short_12","alias_value":"7KQUX7AO4STI","created_at":"2026-05-18T12:26:58Z"},{"alias_kind":"pith_short_16","alias_value":"7KQUX7AO4STIY4S2","created_at":"2026-05-18T12:26:58Z"},{"alias_kind":"pith_short_8","alias_value":"7KQUX7AO","created_at":"2026-05-18T12:26:58Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:7KQUX7AO4STIY4S2V2QM5ZPRFY","target":"record","payload":{"canonical_record":{"source":{"id":"1209.3232","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mtrl-sci","submitted_at":"2012-09-14T15:44:32Z","cross_cats_sorted":["cond-mat.stat-mech","cond-mat.str-el"],"title_canon_sha256":"105c1971693312662d1eaeae52c3b2c212fd03c6fcce95b0f78b9ddefce9b962","abstract_canon_sha256":"5caac7eae85396dfe492d146b9b5a413892a738235832a9e80b0212983831f36"},"schema_version":"1.0"},"canonical_sha256":"faa14bfc0ee4a68c725aaea0cee5f12e31dd2be2c0c4d9543d4e89b362cd8dd6","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:45:32.451112Z","signature_b64":"q5g+R2sHfNA9rI5xgpzTrGmZoTCGJ6aDOx6wpFZfB+VLMK28GcRWUKr2amd+lQ43GJ/8PBxAYe47RIyQq2dLCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"faa14bfc0ee4a68c725aaea0cee5f12e31dd2be2c0c4d9543d4e89b362cd8dd6","last_reissued_at":"2026-05-18T03:45:32.450705Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:45:32.450705Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1209.3232","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":"2026-05-18T03:45:32Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"aL5/BgFxprxsd4Z6lY6dcXzwSMGWr5VAA3DbG5JMJ+E4MMyKz+J6JLBbLmbEN29+9Z4XmdBMpysaidci5tehCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T10:52:28.578948Z"},"content_sha256":"c5a748aaec4fd151caecf73728263f5c53a00bd7c340081fdea9dd3102389877","schema_version":"1.0","event_id":"sha256:c5a748aaec4fd151caecf73728263f5c53a00bd7c340081fdea9dd3102389877"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:7KQUX7AO4STIY4S2V2QM5ZPRFY","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Theory of elastic anomalies at the gamma--alpha phase transition in solid Ce","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.stat-mech","cond-mat.str-el"],"primary_cat":"cond-mat.mtrl-sci","authors_text":"A. V. Nikolaev, K. H. Michel","submitted_at":"2012-09-14T15:44:32Z","abstract_excerpt":"Starting from a model of 4f-electron generated quadrupolar densities on a compressible fcc lattice, the elastic anomalies at the Fm3m -> Pa3 phase transition are studied by means of analytical theory. The model is taken as representative for the gamma-alpha phase transition in Ce. The coupling of the (linear) lattice displacements to the square of the quadrupolar orientational density fluctuations renormalizes the elastic constants. The condensation of the quadrupolar densities into the orientationally ordered Pa3 structure is studied as function of temperature and pressure. Precursor effects "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1209.3232","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":"2026-05-18T03:45:32Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"1QJStrGBVf99FRb3VpcgS3py3cZUlP+g8IzXZVxkWmXKJSMqKK9DB6+zeBZwa3w8HtUbtBfGeYiQayMC6WGHCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T10:52:28.579293Z"},"content_sha256":"d8d72f03dc48ac47a6dcb5967ec5ffb66466854695c1e20282ebfed8661eec9b","schema_version":"1.0","event_id":"sha256:d8d72f03dc48ac47a6dcb5967ec5ffb66466854695c1e20282ebfed8661eec9b"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/7KQUX7AO4STIY4S2V2QM5ZPRFY/bundle.json","state_url":"https://pith.science/pith/7KQUX7AO4STIY4S2V2QM5ZPRFY/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/7KQUX7AO4STIY4S2V2QM5ZPRFY/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":"2026-05-28T10:52:28Z","links":{"resolver":"https://pith.science/pith/7KQUX7AO4STIY4S2V2QM5ZPRFY","bundle":"https://pith.science/pith/7KQUX7AO4STIY4S2V2QM5ZPRFY/bundle.json","state":"https://pith.science/pith/7KQUX7AO4STIY4S2V2QM5ZPRFY/state.json","well_known_bundle":"https://pith.science/.well-known/pith/7KQUX7AO4STIY4S2V2QM5ZPRFY/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:7KQUX7AO4STIY4S2V2QM5ZPRFY","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":"5caac7eae85396dfe492d146b9b5a413892a738235832a9e80b0212983831f36","cross_cats_sorted":["cond-mat.stat-mech","cond-mat.str-el"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mtrl-sci","submitted_at":"2012-09-14T15:44:32Z","title_canon_sha256":"105c1971693312662d1eaeae52c3b2c212fd03c6fcce95b0f78b9ddefce9b962"},"schema_version":"1.0","source":{"id":"1209.3232","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1209.3232","created_at":"2026-05-18T03:45:32Z"},{"alias_kind":"arxiv_version","alias_value":"1209.3232v1","created_at":"2026-05-18T03:45:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1209.3232","created_at":"2026-05-18T03:45:32Z"},{"alias_kind":"pith_short_12","alias_value":"7KQUX7AO4STI","created_at":"2026-05-18T12:26:58Z"},{"alias_kind":"pith_short_16","alias_value":"7KQUX7AO4STIY4S2","created_at":"2026-05-18T12:26:58Z"},{"alias_kind":"pith_short_8","alias_value":"7KQUX7AO","created_at":"2026-05-18T12:26:58Z"}],"graph_snapshots":[{"event_id":"sha256:d8d72f03dc48ac47a6dcb5967ec5ffb66466854695c1e20282ebfed8661eec9b","target":"graph","created_at":"2026-05-18T03:45:32Z","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":"Starting from a model of 4f-electron generated quadrupolar densities on a compressible fcc lattice, the elastic anomalies at the Fm3m -> Pa3 phase transition are studied by means of analytical theory. The model is taken as representative for the gamma-alpha phase transition in Ce. The coupling of the (linear) lattice displacements to the square of the quadrupolar orientational density fluctuations renormalizes the elastic constants. The condensation of the quadrupolar densities into the orientationally ordered Pa3 structure is studied as function of temperature and pressure. Precursor effects ","authors_text":"A. V. Nikolaev, K. H. Michel","cross_cats":["cond-mat.stat-mech","cond-mat.str-el"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mtrl-sci","submitted_at":"2012-09-14T15:44:32Z","title":"Theory of elastic anomalies at the gamma--alpha phase transition in solid Ce"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1209.3232","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:c5a748aaec4fd151caecf73728263f5c53a00bd7c340081fdea9dd3102389877","target":"record","created_at":"2026-05-18T03:45:32Z","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":"5caac7eae85396dfe492d146b9b5a413892a738235832a9e80b0212983831f36","cross_cats_sorted":["cond-mat.stat-mech","cond-mat.str-el"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mtrl-sci","submitted_at":"2012-09-14T15:44:32Z","title_canon_sha256":"105c1971693312662d1eaeae52c3b2c212fd03c6fcce95b0f78b9ddefce9b962"},"schema_version":"1.0","source":{"id":"1209.3232","kind":"arxiv","version":1}},"canonical_sha256":"faa14bfc0ee4a68c725aaea0cee5f12e31dd2be2c0c4d9543d4e89b362cd8dd6","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"faa14bfc0ee4a68c725aaea0cee5f12e31dd2be2c0c4d9543d4e89b362cd8dd6","first_computed_at":"2026-05-18T03:45:32.450705Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:45:32.450705Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"q5g+R2sHfNA9rI5xgpzTrGmZoTCGJ6aDOx6wpFZfB+VLMK28GcRWUKr2amd+lQ43GJ/8PBxAYe47RIyQq2dLCw==","signature_status":"signed_v1","signed_at":"2026-05-18T03:45:32.451112Z","signed_message":"canonical_sha256_bytes"},"source_id":"1209.3232","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c5a748aaec4fd151caecf73728263f5c53a00bd7c340081fdea9dd3102389877","sha256:d8d72f03dc48ac47a6dcb5967ec5ffb66466854695c1e20282ebfed8661eec9b"],"state_sha256":"c3577378341285fc605d703462399174b1bb9f5bc587b41a366f650d4e2f2976"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"hhamLAknR9S7BoAwLodoZe9rkx7CMoF9yAWFq9SbI8S11hgB1kl0+77ZhUgZcjDcvvn/ZXdus+TBvWhT9vj9Cg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-28T10:52:28.581227Z","bundle_sha256":"d6d6dc92cac31db3fc77f6620bc65ec9c2468bc84eea39e375e6afcfbac90907"}}