{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:CYB4XAUQBA4GPCKVCNWJHZYQDZ","short_pith_number":"pith:CYB4XAUQ","canonical_record":{"source":{"id":"1606.06498","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.chem-ph","submitted_at":"2016-06-21T10:22:15Z","cross_cats_sorted":[],"title_canon_sha256":"2973b00dcfe2445b62aec6c31658a6f9504387541f7070c204a1c2ce12646a2e","abstract_canon_sha256":"158b80c10356e84afeed4ce21f153aab65f98983f8c3f1045b77ddb2be9b95b6"},"schema_version":"1.0"},"canonical_sha256":"1603cb82900838678955136c93e7101e7da806f37d5ffe12c89a725d9c927fc9","source":{"kind":"arxiv","id":"1606.06498","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"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:CYB4XAUQBA4GPCKVCNWJHZYQDZ","target":"record","payload":{"canonical_record":{"source":{"id":"1606.06498","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.chem-ph","submitted_at":"2016-06-21T10:22:15Z","cross_cats_sorted":[],"title_canon_sha256":"2973b00dcfe2445b62aec6c31658a6f9504387541f7070c204a1c2ce12646a2e","abstract_canon_sha256":"158b80c10356e84afeed4ce21f153aab65f98983f8c3f1045b77ddb2be9b95b6"},"schema_version":"1.0"},"canonical_sha256":"1603cb82900838678955136c93e7101e7da806f37d5ffe12c89a725d9c927fc9","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:44:19.835580Z","signature_b64":"KqtTVNSxHrtS7rSyf04n/xlr7U6A0dy+TEyE7MCA60MS7OIMzGFCgBtjAM59UxV0PL3L8Vt0SPcvXSevtvCADQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1603cb82900838678955136c93e7101e7da806f37d5ffe12c89a725d9c927fc9","last_reissued_at":"2026-05-18T00:44:19.835083Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:44:19.835083Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1606.06498","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":"2026-05-18T00:44:19Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"hQhIGEPTTiG7pLnEDqfpuo3XOAS30gccbQ0n0+8AGqY3VJ1c16NIb1axptP2qi0N0awRgGJSp3rwhQiJvRTzAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-30T16:17:23.830977Z"},"content_sha256":"0746ad17e292f2471f7241a54d9af293ca2497a8db92535f2334a3a050d17e13","schema_version":"1.0","event_id":"sha256:0746ad17e292f2471f7241a54d9af293ca2497a8db92535f2334a3a050d17e13"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:CYB4XAUQBA4GPCKVCNWJHZYQDZ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Laplace-transformed atomic orbital-based M{\\o}ller-Plesset perturbation theory for relativistic two-component Hamiltonians","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"physics.chem-ph","authors_text":"Benjamin Helmich-Paris, Lucas Visscher, Michal Repisky","submitted_at":"2016-06-21T10:22:15Z","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"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1606.06498","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":"2026-05-18T00:44:19Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"folGxKNPP7DFFT3egrhUEQwnFqG59sOB73hOOMLJmzJ6CrOPhjKJ2MNN6MqKIGvYtSYJNh8Ub6545WmWiJJEBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-30T16:17:23.831355Z"},"content_sha256":"e2e16c1a1e128b4c0d26717a50d5d5f76687e5538b413944321c4377471780c5","schema_version":"1.0","event_id":"sha256:e2e16c1a1e128b4c0d26717a50d5d5f76687e5538b413944321c4377471780c5"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/CYB4XAUQBA4GPCKVCNWJHZYQDZ/bundle.json","state_url":"https://pith.science/pith/CYB4XAUQBA4GPCKVCNWJHZYQDZ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/CYB4XAUQBA4GPCKVCNWJHZYQDZ/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":"2026-06-30T16:17:23Z","links":{"resolver":"https://pith.science/pith/CYB4XAUQBA4GPCKVCNWJHZYQDZ","bundle":"https://pith.science/pith/CYB4XAUQBA4GPCKVCNWJHZYQDZ/bundle.json","state":"https://pith.science/pith/CYB4XAUQBA4GPCKVCNWJHZYQDZ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/CYB4XAUQBA4GPCKVCNWJHZYQDZ/bundle.json"},"state":{"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"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"C2YqfrG/akQoQ7El/s143WzxAPajOAvqRd6p/ZjNZuhFJsabfX24eUerc4D98dJUC9yCi27HrD5XD0Ahb+RvDQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-30T16:17:23.833340Z","bundle_sha256":"0f304f7c00c4329770c005a64bb0f91cb7a734b5665faea79514ae602d734abb"}}