{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2010:4OIBVJFSBP3NIGUR3JF7ZMLQIF","short_pith_number":"pith:4OIBVJFS","canonical_record":{"source":{"id":"1010.4919","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.chem-ph","submitted_at":"2010-10-23T23:36:02Z","cross_cats_sorted":[],"title_canon_sha256":"00af48f2f38e8964dd13c893ba3f4e4d963bac19b6b6d56b3054272d82197d10","abstract_canon_sha256":"f0800dda1744d759396eb8771ae52f4d29580ea699f872e31c55e5c89d45b101"},"schema_version":"1.0"},"canonical_sha256":"e3901aa4b20bf6d41a91da4bfcb170414810218fb8f3e9dcde84a6d5cfd81f4a","source":{"kind":"arxiv","id":"1010.4919","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1010.4919","created_at":"2026-05-18T02:23:38Z"},{"alias_kind":"arxiv_version","alias_value":"1010.4919v2","created_at":"2026-05-18T02:23:38Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1010.4919","created_at":"2026-05-18T02:23:38Z"},{"alias_kind":"pith_short_12","alias_value":"4OIBVJFSBP3N","created_at":"2026-05-18T12:26:03Z"},{"alias_kind":"pith_short_16","alias_value":"4OIBVJFSBP3NIGUR","created_at":"2026-05-18T12:26:03Z"},{"alias_kind":"pith_short_8","alias_value":"4OIBVJFS","created_at":"2026-05-18T12:26:03Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2010:4OIBVJFSBP3NIGUR3JF7ZMLQIF","target":"record","payload":{"canonical_record":{"source":{"id":"1010.4919","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.chem-ph","submitted_at":"2010-10-23T23:36:02Z","cross_cats_sorted":[],"title_canon_sha256":"00af48f2f38e8964dd13c893ba3f4e4d963bac19b6b6d56b3054272d82197d10","abstract_canon_sha256":"f0800dda1744d759396eb8771ae52f4d29580ea699f872e31c55e5c89d45b101"},"schema_version":"1.0"},"canonical_sha256":"e3901aa4b20bf6d41a91da4bfcb170414810218fb8f3e9dcde84a6d5cfd81f4a","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:23:38.743428Z","signature_b64":"GzsH+XVL2b/dckdK8GC3DkfVdjvvSd/g9SL+CFAmchEdnbJGEpC1oKEhuyvA1zJs4oKf5w2n/16dnDcTJi6vAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e3901aa4b20bf6d41a91da4bfcb170414810218fb8f3e9dcde84a6d5cfd81f4a","last_reissued_at":"2026-05-18T02:23:38.742770Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:23:38.742770Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1010.4919","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":"2026-05-18T02:23:38Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"SolcN0unhgY+HTqBiFO2uhGVh9pHZ5A6eSrDdxuHIyOHcfridy4gkoOzUh9xkeJyxY8SydC+M7OpFjflWYiLBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-04T01:40:01.457971Z"},"content_sha256":"57159f792e45e0870d226272222f3976ffc8ddcb164e41e291ddea9be5de4661","schema_version":"1.0","event_id":"sha256:57159f792e45e0870d226272222f3976ffc8ddcb164e41e291ddea9be5de4661"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2010:4OIBVJFSBP3NIGUR3JF7ZMLQIF","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Maximizing the hyperpolarizability poorly determines the potential","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"physics.chem-ph","authors_text":"G. A. Wiggers, J. Lesnefsky, R. G. Petschek, T. J. Atherton","submitted_at":"2010-10-23T23:36:02Z","abstract_excerpt":"We have optimized the zero frequency first hyperpolarizability \\beta of a one-dimensional piecewise linear potential well containing a single electron by adjusting the shape of that potential. With increasing numbers of parameters in the potential, the maximized hyperpolarizability converges quickly to 0.708951 of the proven upper bound. The Hessian of \\beta at the maximum has in each case only two large eigenvalues; the other eigenvalues diminish seemingly exponentially quickly, demonstrating a very wide range of nearby nearly optimal potentials, and that there are only two important paramete"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1010.4919","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":"2026-05-18T02:23:38Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"luHnPkZtHB0kTF6ctdaa6w/iHZ4p+dMYCuFxmJVNblkawyINzkfT4NDbVu2VsABw5+fCLI0qbMf6L/IZLuN5Cw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-04T01:40:01.458635Z"},"content_sha256":"44e52463c79c30d846057f749a974ed0d31217d400e12fd0222642fd206471c2","schema_version":"1.0","event_id":"sha256:44e52463c79c30d846057f749a974ed0d31217d400e12fd0222642fd206471c2"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/4OIBVJFSBP3NIGUR3JF7ZMLQIF/bundle.json","state_url":"https://pith.science/pith/4OIBVJFSBP3NIGUR3JF7ZMLQIF/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/4OIBVJFSBP3NIGUR3JF7ZMLQIF/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":"2026-06-04T01:40:01Z","links":{"resolver":"https://pith.science/pith/4OIBVJFSBP3NIGUR3JF7ZMLQIF","bundle":"https://pith.science/pith/4OIBVJFSBP3NIGUR3JF7ZMLQIF/bundle.json","state":"https://pith.science/pith/4OIBVJFSBP3NIGUR3JF7ZMLQIF/state.json","well_known_bundle":"https://pith.science/.well-known/pith/4OIBVJFSBP3NIGUR3JF7ZMLQIF/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:4OIBVJFSBP3NIGUR3JF7ZMLQIF","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":"f0800dda1744d759396eb8771ae52f4d29580ea699f872e31c55e5c89d45b101","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.chem-ph","submitted_at":"2010-10-23T23:36:02Z","title_canon_sha256":"00af48f2f38e8964dd13c893ba3f4e4d963bac19b6b6d56b3054272d82197d10"},"schema_version":"1.0","source":{"id":"1010.4919","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1010.4919","created_at":"2026-05-18T02:23:38Z"},{"alias_kind":"arxiv_version","alias_value":"1010.4919v2","created_at":"2026-05-18T02:23:38Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1010.4919","created_at":"2026-05-18T02:23:38Z"},{"alias_kind":"pith_short_12","alias_value":"4OIBVJFSBP3N","created_at":"2026-05-18T12:26:03Z"},{"alias_kind":"pith_short_16","alias_value":"4OIBVJFSBP3NIGUR","created_at":"2026-05-18T12:26:03Z"},{"alias_kind":"pith_short_8","alias_value":"4OIBVJFS","created_at":"2026-05-18T12:26:03Z"}],"graph_snapshots":[{"event_id":"sha256:44e52463c79c30d846057f749a974ed0d31217d400e12fd0222642fd206471c2","target":"graph","created_at":"2026-05-18T02:23:38Z","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 have optimized the zero frequency first hyperpolarizability \\beta of a one-dimensional piecewise linear potential well containing a single electron by adjusting the shape of that potential. With increasing numbers of parameters in the potential, the maximized hyperpolarizability converges quickly to 0.708951 of the proven upper bound. The Hessian of \\beta at the maximum has in each case only two large eigenvalues; the other eigenvalues diminish seemingly exponentially quickly, demonstrating a very wide range of nearby nearly optimal potentials, and that there are only two important paramete","authors_text":"G. A. Wiggers, J. Lesnefsky, R. G. Petschek, T. J. Atherton","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.chem-ph","submitted_at":"2010-10-23T23:36:02Z","title":"Maximizing the hyperpolarizability poorly determines the potential"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1010.4919","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":"sha256:57159f792e45e0870d226272222f3976ffc8ddcb164e41e291ddea9be5de4661","target":"record","created_at":"2026-05-18T02:23:38Z","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":"f0800dda1744d759396eb8771ae52f4d29580ea699f872e31c55e5c89d45b101","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.chem-ph","submitted_at":"2010-10-23T23:36:02Z","title_canon_sha256":"00af48f2f38e8964dd13c893ba3f4e4d963bac19b6b6d56b3054272d82197d10"},"schema_version":"1.0","source":{"id":"1010.4919","kind":"arxiv","version":2}},"canonical_sha256":"e3901aa4b20bf6d41a91da4bfcb170414810218fb8f3e9dcde84a6d5cfd81f4a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e3901aa4b20bf6d41a91da4bfcb170414810218fb8f3e9dcde84a6d5cfd81f4a","first_computed_at":"2026-05-18T02:23:38.742770Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:23:38.742770Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"GzsH+XVL2b/dckdK8GC3DkfVdjvvSd/g9SL+CFAmchEdnbJGEpC1oKEhuyvA1zJs4oKf5w2n/16dnDcTJi6vAw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:23:38.743428Z","signed_message":"canonical_sha256_bytes"},"source_id":"1010.4919","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:57159f792e45e0870d226272222f3976ffc8ddcb164e41e291ddea9be5de4661","sha256:44e52463c79c30d846057f749a974ed0d31217d400e12fd0222642fd206471c2"],"state_sha256":"7c9cfe14d30cdebffe411853c58b68e2f5ddf5ca2b76de0dddc60838b5f9d9c9"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"uCz5tHwoI5JqAt979e5d57xyGrDaDQQfYk0b3MdkDh7655m8Pdu0/YZh14lhIjpGBqiXcHx24Xn6fz8czMB/Aw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-04T01:40:01.461654Z","bundle_sha256":"81519eb7c1c732826775634978914c02f7d0854046c7585410dcf9109c5edd11"}}