{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2006:CX6SYNX73CCFHUBGW46LM7X3OX","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":"9bed2ed35e72d2807033cfacf5081c013fd0976dd675b2057ef8171ca35bd756","cross_cats_sorted":["cond-mat.mes-hall","cond-mat.mtrl-sci","cond-mat.other","physics.optics"],"license":"","primary_cat":"cond-mat.soft","submitted_at":"2006-04-14T17:06:29Z","title_canon_sha256":"fe3ff6346456006dea0a870388e358cdaed18e3d337aa49644ac65e5d4872895"},"schema_version":"1.0","source":{"id":"cond-mat/0604375","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"cond-mat/0604375","created_at":"2026-05-18T01:06:49Z"},{"alias_kind":"arxiv_version","alias_value":"cond-mat/0604375v2","created_at":"2026-05-18T01:06:49Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.cond-mat/0604375","created_at":"2026-05-18T01:06:49Z"},{"alias_kind":"pith_short_12","alias_value":"CX6SYNX73CCF","created_at":"2026-05-18T12:25:53Z"},{"alias_kind":"pith_short_16","alias_value":"CX6SYNX73CCFHUBG","created_at":"2026-05-18T12:25:53Z"},{"alias_kind":"pith_short_8","alias_value":"CX6SYNX7","created_at":"2026-05-18T12:25:53Z"}],"graph_snapshots":[{"event_id":"sha256:a90fbb43234aca8bd54ed5fdd40eb8b2c8cbac8e183d9e2db26d3b207cab3b65","target":"graph","created_at":"2026-05-18T01:06:49Z","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":"The second hyperpolarizability $\\gamma_N(-3\\omega\\omega,\\omega,\\omega)$ of $N$ double-bond finite chain of trans-polyactylene is analyzed using the Su-Schrieffer-Heeger model to explain qualitative features of the size-dependence behavior of $\\gamma_N$. Our study shows that $\\gamma_N/N$ is {\\it nonmonotonic} with $N$ and that the nonmonotonicity is caused by the dominant contribution of the intraband transition to $\\gamma_N$ in polyenes. Several important physical effects are discussed to reduce quantitative discrepancies between experimental and our results","authors_text":"Minzhong Xu, Shidong Jiang","cross_cats":["cond-mat.mes-hall","cond-mat.mtrl-sci","cond-mat.other","physics.optics"],"headline":"","license":"","primary_cat":"cond-mat.soft","submitted_at":"2006-04-14T17:06:29Z","title":"Size dependence of second-order hyperpolarizability of finite periodic chain under Su-Schrieffer-Heeger model"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cond-mat/0604375","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:c048563fc4660f3173de670237a5598c8b3e22f49e6a4cd99da2d98c3e7eb686","target":"record","created_at":"2026-05-18T01:06:49Z","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":"9bed2ed35e72d2807033cfacf5081c013fd0976dd675b2057ef8171ca35bd756","cross_cats_sorted":["cond-mat.mes-hall","cond-mat.mtrl-sci","cond-mat.other","physics.optics"],"license":"","primary_cat":"cond-mat.soft","submitted_at":"2006-04-14T17:06:29Z","title_canon_sha256":"fe3ff6346456006dea0a870388e358cdaed18e3d337aa49644ac65e5d4872895"},"schema_version":"1.0","source":{"id":"cond-mat/0604375","kind":"arxiv","version":2}},"canonical_sha256":"15fd2c36ffd88453d026b73cb67efb75eaf01e1513a8c6e85b54d1a63fdaed6c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"15fd2c36ffd88453d026b73cb67efb75eaf01e1513a8c6e85b54d1a63fdaed6c","first_computed_at":"2026-05-18T01:06:49.778759Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:06:49.778759Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"9CSfrtUvHuKcWsE88Dki8a6X6UOusxeT0s3zor9imlPf8kqnQyqpPNCHIl9jTcASffpfo0ZPzoJs6bN4DAcxCA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:06:49.779383Z","signed_message":"canonical_sha256_bytes"},"source_id":"cond-mat/0604375","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c048563fc4660f3173de670237a5598c8b3e22f49e6a4cd99da2d98c3e7eb686","sha256:a90fbb43234aca8bd54ed5fdd40eb8b2c8cbac8e183d9e2db26d3b207cab3b65"],"state_sha256":"0c16f3fedbe09a83f4d3d146dbcc5a5dd1cebe53dfa1618b59d16b06621c976c"}