{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:CYB4XAUQBA4GPCKVCNWJHZYQDZ","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":"158b80c10356e84afeed4ce21f153aab65f98983f8c3f1045b77ddb2be9b95b6","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.chem-ph","submitted_at":"2016-06-21T10:22:15Z","title_canon_sha256":"2973b00dcfe2445b62aec6c31658a6f9504387541f7070c204a1c2ce12646a2e"},"schema_version":"1.0","source":{"id":"1606.06498","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1606.06498","created_at":"2026-05-18T00:44:19Z"},{"alias_kind":"arxiv_version","alias_value":"1606.06498v1","created_at":"2026-05-18T00:44:19Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1606.06498","created_at":"2026-05-18T00:44:19Z"},{"alias_kind":"pith_short_12","alias_value":"CYB4XAUQBA4G","created_at":"2026-05-18T12:30:09Z"},{"alias_kind":"pith_short_16","alias_value":"CYB4XAUQBA4GPCKV","created_at":"2026-05-18T12:30:09Z"},{"alias_kind":"pith_short_8","alias_value":"CYB4XAUQ","created_at":"2026-05-18T12:30:09Z"}],"graph_snapshots":[{"event_id":"sha256:e2e16c1a1e128b4c0d26717a50d5d5f76687e5538b413944321c4377471780c5","target":"graph","created_at":"2026-05-18T00:44:19Z","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":"We present a formulation of Laplace-transformed atomic orbital-based second-order M{\\o}ller-Plesset perturbation theory (MP2) energies for two-component Hamiltonians in the Kramers-restricted formalism. This low-order scaling technique can be used to enable correlated relativistic calculations for large molecular systems. We show that the working equations to compute the relativistic MP2 energy differ by merely a change of algebra (quaternion instead of real) from their non-relativistic counterparts. With a proof-of-principle implementation we study the effect of the nuclear charge on the magn","authors_text":"Benjamin Helmich-Paris, Lucas Visscher, Michal Repisky","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.chem-ph","submitted_at":"2016-06-21T10:22:15Z","title":"Laplace-transformed atomic orbital-based M{\\o}ller-Plesset perturbation theory for relativistic two-component Hamiltonians"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1606.06498","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":"sha256:0746ad17e292f2471f7241a54d9af293ca2497a8db92535f2334a3a050d17e13","target":"record","created_at":"2026-05-18T00:44:19Z","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":"158b80c10356e84afeed4ce21f153aab65f98983f8c3f1045b77ddb2be9b95b6","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.chem-ph","submitted_at":"2016-06-21T10:22:15Z","title_canon_sha256":"2973b00dcfe2445b62aec6c31658a6f9504387541f7070c204a1c2ce12646a2e"},"schema_version":"1.0","source":{"id":"1606.06498","kind":"arxiv","version":1}},"canonical_sha256":"1603cb82900838678955136c93e7101e7da806f37d5ffe12c89a725d9c927fc9","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1603cb82900838678955136c93e7101e7da806f37d5ffe12c89a725d9c927fc9","first_computed_at":"2026-05-18T00:44:19.835083Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:44:19.835083Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"KqtTVNSxHrtS7rSyf04n/xlr7U6A0dy+TEyE7MCA60MS7OIMzGFCgBtjAM59UxV0PL3L8Vt0SPcvXSevtvCADQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:44:19.835580Z","signed_message":"canonical_sha256_bytes"},"source_id":"1606.06498","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0746ad17e292f2471f7241a54d9af293ca2497a8db92535f2334a3a050d17e13","sha256:e2e16c1a1e128b4c0d26717a50d5d5f76687e5538b413944321c4377471780c5"],"state_sha256":"b9083f26d7422ce31239694626f675f6e756e0793f1e86d9927f38ab97f896a5"}