{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:6HUSYFZ3EDOWKL4OBBI7IEHJ7V","short_pith_number":"pith:6HUSYFZ3","canonical_record":{"source":{"id":"1306.0937","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.optics","submitted_at":"2013-06-04T22:23:46Z","cross_cats_sorted":["quant-ph"],"title_canon_sha256":"9bda6e75d0647b7d6650cdd33c17ffc0911cc90484325a7fc07c6f5ebd5cb85f","abstract_canon_sha256":"0266fd3a5cba71e1cf033aa2b2c9c4ed700affe03ce1b3d9e6c4a3ab8f16f8c7"},"schema_version":"1.0"},"canonical_sha256":"f1e92c173b20dd652f8e0851f410e9fd457ef309b239088c2bb528d5efc8deff","source":{"kind":"arxiv","id":"1306.0937","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1306.0937","created_at":"2026-05-18T03:14:19Z"},{"alias_kind":"arxiv_version","alias_value":"1306.0937v1","created_at":"2026-05-18T03:14:19Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1306.0937","created_at":"2026-05-18T03:14:19Z"},{"alias_kind":"pith_short_12","alias_value":"6HUSYFZ3EDOW","created_at":"2026-05-18T12:27:36Z"},{"alias_kind":"pith_short_16","alias_value":"6HUSYFZ3EDOWKL4O","created_at":"2026-05-18T12:27:36Z"},{"alias_kind":"pith_short_8","alias_value":"6HUSYFZ3","created_at":"2026-05-18T12:27:36Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:6HUSYFZ3EDOWKL4OBBI7IEHJ7V","target":"record","payload":{"canonical_record":{"source":{"id":"1306.0937","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.optics","submitted_at":"2013-06-04T22:23:46Z","cross_cats_sorted":["quant-ph"],"title_canon_sha256":"9bda6e75d0647b7d6650cdd33c17ffc0911cc90484325a7fc07c6f5ebd5cb85f","abstract_canon_sha256":"0266fd3a5cba71e1cf033aa2b2c9c4ed700affe03ce1b3d9e6c4a3ab8f16f8c7"},"schema_version":"1.0"},"canonical_sha256":"f1e92c173b20dd652f8e0851f410e9fd457ef309b239088c2bb528d5efc8deff","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:14:19.373862Z","signature_b64":"yJIpCJpkWss155AQvW+rB9zTdS0VhrzdMBz2h1U2vyvZPJTWLJcSd8ZCEg3U1yuLeRAfmM57Y5Yp/hNwo/IICg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f1e92c173b20dd652f8e0851f410e9fd457ef309b239088c2bb528d5efc8deff","last_reissued_at":"2026-05-18T03:14:19.373214Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:14:19.373214Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1306.0937","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":"2026-05-18T03:14:19Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"FEBjbWGKP0zNv9rWYeMAhCi+kEMpA75TLr3ArcChwQPgDvQxIhLXe1M8psYcAtQ3K5jGTifxpVcO/MJNVYpVAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-22T21:06:26.555706Z"},"content_sha256":"2eedd0e52eae2b17681a51746d1ba0e44292a699bc018fc414f2bfffb12273a8","schema_version":"1.0","event_id":"sha256:2eedd0e52eae2b17681a51746d1ba0e44292a699bc018fc414f2bfffb12273a8"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:6HUSYFZ3EDOWKL4OBBI7IEHJ7V","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"The paradox of the many-state catastrophe of fundamental limits and the three-state conjecture","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["quant-ph"],"primary_cat":"physics.optics","authors_text":"Mark G. Kuzyk, Shoresh Shafei","submitted_at":"2013-06-04T22:23:46Z","abstract_excerpt":"The calculation of the fundamental limits of nonlinear susceptibilities posits that when a quantum system has a nonlinear response at the fundamental limit, only three energy eigenstates contribute to the first and second hyperpolarizability. This is called the three-level ansatz and is the only unproven assumption in the theory of fundamental limits. All calculations that are based on direct solution of the Schrodinger equation yield intrinsic hyperpolarizabilities less than 0.709 and intrinsic second hyperpolarizabilities less than 0.6. In this work, we show that relaxing the three-level ans"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1306.0937","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":"2026-05-18T03:14:19Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"2MmRQGQv9TA9kQqJFJHnD84yspJ8JObmHQ66mBSv2lCSGIyx2nO4XYxdUjyP3ZuUjj1TEwtclIxGt5B66uVLBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-22T21:06:26.556054Z"},"content_sha256":"73764c21e4d5104b2a6c89c71b74bc5826e6e8937cf31ad417c6fde13c8b2b05","schema_version":"1.0","event_id":"sha256:73764c21e4d5104b2a6c89c71b74bc5826e6e8937cf31ad417c6fde13c8b2b05"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/6HUSYFZ3EDOWKL4OBBI7IEHJ7V/bundle.json","state_url":"https://pith.science/pith/6HUSYFZ3EDOWKL4OBBI7IEHJ7V/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/6HUSYFZ3EDOWKL4OBBI7IEHJ7V/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":"2026-06-22T21:06:26Z","links":{"resolver":"https://pith.science/pith/6HUSYFZ3EDOWKL4OBBI7IEHJ7V","bundle":"https://pith.science/pith/6HUSYFZ3EDOWKL4OBBI7IEHJ7V/bundle.json","state":"https://pith.science/pith/6HUSYFZ3EDOWKL4OBBI7IEHJ7V/state.json","well_known_bundle":"https://pith.science/.well-known/pith/6HUSYFZ3EDOWKL4OBBI7IEHJ7V/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:6HUSYFZ3EDOWKL4OBBI7IEHJ7V","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":"0266fd3a5cba71e1cf033aa2b2c9c4ed700affe03ce1b3d9e6c4a3ab8f16f8c7","cross_cats_sorted":["quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.optics","submitted_at":"2013-06-04T22:23:46Z","title_canon_sha256":"9bda6e75d0647b7d6650cdd33c17ffc0911cc90484325a7fc07c6f5ebd5cb85f"},"schema_version":"1.0","source":{"id":"1306.0937","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1306.0937","created_at":"2026-05-18T03:14:19Z"},{"alias_kind":"arxiv_version","alias_value":"1306.0937v1","created_at":"2026-05-18T03:14:19Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1306.0937","created_at":"2026-05-18T03:14:19Z"},{"alias_kind":"pith_short_12","alias_value":"6HUSYFZ3EDOW","created_at":"2026-05-18T12:27:36Z"},{"alias_kind":"pith_short_16","alias_value":"6HUSYFZ3EDOWKL4O","created_at":"2026-05-18T12:27:36Z"},{"alias_kind":"pith_short_8","alias_value":"6HUSYFZ3","created_at":"2026-05-18T12:27:36Z"}],"graph_snapshots":[{"event_id":"sha256:73764c21e4d5104b2a6c89c71b74bc5826e6e8937cf31ad417c6fde13c8b2b05","target":"graph","created_at":"2026-05-18T03:14:19Z","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 calculation of the fundamental limits of nonlinear susceptibilities posits that when a quantum system has a nonlinear response at the fundamental limit, only three energy eigenstates contribute to the first and second hyperpolarizability. This is called the three-level ansatz and is the only unproven assumption in the theory of fundamental limits. All calculations that are based on direct solution of the Schrodinger equation yield intrinsic hyperpolarizabilities less than 0.709 and intrinsic second hyperpolarizabilities less than 0.6. In this work, we show that relaxing the three-level ans","authors_text":"Mark G. Kuzyk, Shoresh Shafei","cross_cats":["quant-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.optics","submitted_at":"2013-06-04T22:23:46Z","title":"The paradox of the many-state catastrophe of fundamental limits and the three-state conjecture"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1306.0937","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":"sha256:2eedd0e52eae2b17681a51746d1ba0e44292a699bc018fc414f2bfffb12273a8","target":"record","created_at":"2026-05-18T03:14:19Z","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":"0266fd3a5cba71e1cf033aa2b2c9c4ed700affe03ce1b3d9e6c4a3ab8f16f8c7","cross_cats_sorted":["quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.optics","submitted_at":"2013-06-04T22:23:46Z","title_canon_sha256":"9bda6e75d0647b7d6650cdd33c17ffc0911cc90484325a7fc07c6f5ebd5cb85f"},"schema_version":"1.0","source":{"id":"1306.0937","kind":"arxiv","version":1}},"canonical_sha256":"f1e92c173b20dd652f8e0851f410e9fd457ef309b239088c2bb528d5efc8deff","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f1e92c173b20dd652f8e0851f410e9fd457ef309b239088c2bb528d5efc8deff","first_computed_at":"2026-05-18T03:14:19.373214Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:14:19.373214Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"yJIpCJpkWss155AQvW+rB9zTdS0VhrzdMBz2h1U2vyvZPJTWLJcSd8ZCEg3U1yuLeRAfmM57Y5Yp/hNwo/IICg==","signature_status":"signed_v1","signed_at":"2026-05-18T03:14:19.373862Z","signed_message":"canonical_sha256_bytes"},"source_id":"1306.0937","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2eedd0e52eae2b17681a51746d1ba0e44292a699bc018fc414f2bfffb12273a8","sha256:73764c21e4d5104b2a6c89c71b74bc5826e6e8937cf31ad417c6fde13c8b2b05"],"state_sha256":"e54327c52c5f7bdaf8520429a8ac4b43cd29cc393fc96263859aaf5b7c3f6e73"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"tbDe5WMLhfQYPct++rIlvS+zex2O5j9BJ9VAJN2UZYjpJrERecDZ7KB/I6nYXXmPKaMjkdDKHOJws2q7PmgVDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-22T21:06:26.557944Z","bundle_sha256":"e9f3b4f68e844347125b33f36960fb533a220dc4b4c682524fc434fb3a2e5268"}}