{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:QPZG766N3Q4HZE3KRGGIP6F5ER","short_pith_number":"pith:QPZG766N","canonical_record":{"source":{"id":"1807.06185","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.chem-ph","submitted_at":"2018-07-17T02:38:39Z","cross_cats_sorted":[],"title_canon_sha256":"d8eb5b081dc326d97fe09e77bfc4378cdb3454276d52140609ef200b65e1eb71","abstract_canon_sha256":"7efbb474ca90f10972b952ffa8e7ccca6fc4f20de711fa14859f10e6f918a27a"},"schema_version":"1.0"},"canonical_sha256":"83f26ffbcddc387c936a898c87f8bd247bddcead11f6b93ba65b7e384023e4e7","source":{"kind":"arxiv","id":"1807.06185","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1807.06185","created_at":"2026-05-18T00:07:17Z"},{"alias_kind":"arxiv_version","alias_value":"1807.06185v2","created_at":"2026-05-18T00:07:17Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1807.06185","created_at":"2026-05-18T00:07:17Z"},{"alias_kind":"pith_short_12","alias_value":"QPZG766N3Q4H","created_at":"2026-05-18T12:32:46Z"},{"alias_kind":"pith_short_16","alias_value":"QPZG766N3Q4HZE3K","created_at":"2026-05-18T12:32:46Z"},{"alias_kind":"pith_short_8","alias_value":"QPZG766N","created_at":"2026-05-18T12:32:46Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:QPZG766N3Q4HZE3KRGGIP6F5ER","target":"record","payload":{"canonical_record":{"source":{"id":"1807.06185","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.chem-ph","submitted_at":"2018-07-17T02:38:39Z","cross_cats_sorted":[],"title_canon_sha256":"d8eb5b081dc326d97fe09e77bfc4378cdb3454276d52140609ef200b65e1eb71","abstract_canon_sha256":"7efbb474ca90f10972b952ffa8e7ccca6fc4f20de711fa14859f10e6f918a27a"},"schema_version":"1.0"},"canonical_sha256":"83f26ffbcddc387c936a898c87f8bd247bddcead11f6b93ba65b7e384023e4e7","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:07:17.192683Z","signature_b64":"fwvVImSLQlA8htpJ+HQly74rwnsarf5Z63DL8EzslS9c54g0n3FW6sBxP/xLFtC+DAq4nSdtRo4sFRgzhM5TBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"83f26ffbcddc387c936a898c87f8bd247bddcead11f6b93ba65b7e384023e4e7","last_reissued_at":"2026-05-18T00:07:17.191918Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:07:17.191918Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1807.06185","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":"2026-05-18T00:07:17Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"qDwF3/2todABjptSR4ZI/C7lllk3o3KFls4pqdeZUC2A1OAlmbp8xBj+zqDVw/u5Na8eGSA66B7R4S2TvLOwAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T08:00:12.161031Z"},"content_sha256":"fd00a9dc7194018f364dc4b0a88084732e8febcdbfeb3302ddc82313af518e33","schema_version":"1.0","event_id":"sha256:fd00a9dc7194018f364dc4b0a88084732e8febcdbfeb3302ddc82313af518e33"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:QPZG766N3Q4HZE3KRGGIP6F5ER","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Regularized Orbital-Optimized Second-Order M{\\o}ller-Plesset Perturbation Theory: A Reliable Fifth-Order Scaling Electron Correlation Model with Orbital Energy Dependent Regularizers","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"physics.chem-ph","authors_text":"Joonho Lee, Martin Head-Gordon","submitted_at":"2018-07-17T02:38:39Z","abstract_excerpt":"We derive and assess two new classes of regularizers that cope with offending denominators in the single-reference second-order M{\\o}ller-Plesset perturbation theory (MP2). In particular, we discuss the use of two types of orbital energy dependent regularizers, $\\kappa$ and $\\sigma$, in conjunction with orbital-optimized MP2 (OOMP2). The resulting fifth-order scaling methods, $\\kappa$-OOMP2 and $\\sigma$-OOMP2, have been examined for bond-breaking, thermochemistry, and biradical problems. Both methods with strong enough regularization restore restricted to unrestricted instability (i.e. Coulson"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1807.06185","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":"2026-05-18T00:07:17Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"XjX6rThNjuSVXwWCG8/fZ+Ybgy56xZD6qJrhpnWgNQFpkxBzPJ6qTwrD3gYwc1tw6aElTEUyqJq63GMsdEFgCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T08:00:12.161663Z"},"content_sha256":"302f6b4099cf160dbd8d880300499ed6c19873a7abde7ead5b52a6e6cdf6770c","schema_version":"1.0","event_id":"sha256:302f6b4099cf160dbd8d880300499ed6c19873a7abde7ead5b52a6e6cdf6770c"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/QPZG766N3Q4HZE3KRGGIP6F5ER/bundle.json","state_url":"https://pith.science/pith/QPZG766N3Q4HZE3KRGGIP6F5ER/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/QPZG766N3Q4HZE3KRGGIP6F5ER/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":"2026-05-28T08:00:12Z","links":{"resolver":"https://pith.science/pith/QPZG766N3Q4HZE3KRGGIP6F5ER","bundle":"https://pith.science/pith/QPZG766N3Q4HZE3KRGGIP6F5ER/bundle.json","state":"https://pith.science/pith/QPZG766N3Q4HZE3KRGGIP6F5ER/state.json","well_known_bundle":"https://pith.science/.well-known/pith/QPZG766N3Q4HZE3KRGGIP6F5ER/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:QPZG766N3Q4HZE3KRGGIP6F5ER","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":"7efbb474ca90f10972b952ffa8e7ccca6fc4f20de711fa14859f10e6f918a27a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.chem-ph","submitted_at":"2018-07-17T02:38:39Z","title_canon_sha256":"d8eb5b081dc326d97fe09e77bfc4378cdb3454276d52140609ef200b65e1eb71"},"schema_version":"1.0","source":{"id":"1807.06185","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1807.06185","created_at":"2026-05-18T00:07:17Z"},{"alias_kind":"arxiv_version","alias_value":"1807.06185v2","created_at":"2026-05-18T00:07:17Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1807.06185","created_at":"2026-05-18T00:07:17Z"},{"alias_kind":"pith_short_12","alias_value":"QPZG766N3Q4H","created_at":"2026-05-18T12:32:46Z"},{"alias_kind":"pith_short_16","alias_value":"QPZG766N3Q4HZE3K","created_at":"2026-05-18T12:32:46Z"},{"alias_kind":"pith_short_8","alias_value":"QPZG766N","created_at":"2026-05-18T12:32:46Z"}],"graph_snapshots":[{"event_id":"sha256:302f6b4099cf160dbd8d880300499ed6c19873a7abde7ead5b52a6e6cdf6770c","target":"graph","created_at":"2026-05-18T00:07:17Z","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 derive and assess two new classes of regularizers that cope with offending denominators in the single-reference second-order M{\\o}ller-Plesset perturbation theory (MP2). In particular, we discuss the use of two types of orbital energy dependent regularizers, $\\kappa$ and $\\sigma$, in conjunction with orbital-optimized MP2 (OOMP2). The resulting fifth-order scaling methods, $\\kappa$-OOMP2 and $\\sigma$-OOMP2, have been examined for bond-breaking, thermochemistry, and biradical problems. Both methods with strong enough regularization restore restricted to unrestricted instability (i.e. Coulson","authors_text":"Joonho Lee, Martin Head-Gordon","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.chem-ph","submitted_at":"2018-07-17T02:38:39Z","title":"Regularized Orbital-Optimized Second-Order M{\\o}ller-Plesset Perturbation Theory: A Reliable Fifth-Order Scaling Electron Correlation Model with Orbital Energy Dependent Regularizers"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1807.06185","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:fd00a9dc7194018f364dc4b0a88084732e8febcdbfeb3302ddc82313af518e33","target":"record","created_at":"2026-05-18T00:07:17Z","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":"7efbb474ca90f10972b952ffa8e7ccca6fc4f20de711fa14859f10e6f918a27a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.chem-ph","submitted_at":"2018-07-17T02:38:39Z","title_canon_sha256":"d8eb5b081dc326d97fe09e77bfc4378cdb3454276d52140609ef200b65e1eb71"},"schema_version":"1.0","source":{"id":"1807.06185","kind":"arxiv","version":2}},"canonical_sha256":"83f26ffbcddc387c936a898c87f8bd247bddcead11f6b93ba65b7e384023e4e7","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"83f26ffbcddc387c936a898c87f8bd247bddcead11f6b93ba65b7e384023e4e7","first_computed_at":"2026-05-18T00:07:17.191918Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:07:17.191918Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"fwvVImSLQlA8htpJ+HQly74rwnsarf5Z63DL8EzslS9c54g0n3FW6sBxP/xLFtC+DAq4nSdtRo4sFRgzhM5TBA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:07:17.192683Z","signed_message":"canonical_sha256_bytes"},"source_id":"1807.06185","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:fd00a9dc7194018f364dc4b0a88084732e8febcdbfeb3302ddc82313af518e33","sha256:302f6b4099cf160dbd8d880300499ed6c19873a7abde7ead5b52a6e6cdf6770c"],"state_sha256":"9d6ddc07539fae0d30ab2cd6340871630b9718803c84b23b937e40219b7f34ca"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"webduEvAr1RE7sEc9kS76rinKryJoxoZWSrKF6hqAKwnR+wBBUEBjW2V4ljLn5RpurPwP1v4uc2ANcGdmYsNAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-28T08:00:12.164739Z","bundle_sha256":"7071a8268f5c3267fdf4225a319cfb4f2bfb2c6ebaf911a86d37273924c7f7d7"}}