{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:M7V7ORV7XNTYKLEINOXIP5PJN3","short_pith_number":"pith:M7V7ORV7","canonical_record":{"source":{"id":"1804.01197","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.chem-ph","submitted_at":"2018-04-04T00:16:59Z","cross_cats_sorted":[],"title_canon_sha256":"21d26b13465242c8747368c1e0375efd5d3ca6a7ff3c58a5f831e63383fb14d2","abstract_canon_sha256":"019b40d3a233cd04d510894cc4854009a5ee8c51641a7e36644fb7954424f536"},"schema_version":"1.0"},"canonical_sha256":"67ebf746bfbb67852c886bae87f5e96ef593e016a92785fcdf32becf45ed80ea","source":{"kind":"arxiv","id":"1804.01197","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1804.01197","created_at":"2026-05-18T00:19:15Z"},{"alias_kind":"arxiv_version","alias_value":"1804.01197v1","created_at":"2026-05-18T00:19:15Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1804.01197","created_at":"2026-05-18T00:19:15Z"},{"alias_kind":"pith_short_12","alias_value":"M7V7ORV7XNTY","created_at":"2026-05-18T12:32:37Z"},{"alias_kind":"pith_short_16","alias_value":"M7V7ORV7XNTYKLEI","created_at":"2026-05-18T12:32:37Z"},{"alias_kind":"pith_short_8","alias_value":"M7V7ORV7","created_at":"2026-05-18T12:32:37Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:M7V7ORV7XNTYKLEINOXIP5PJN3","target":"record","payload":{"canonical_record":{"source":{"id":"1804.01197","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.chem-ph","submitted_at":"2018-04-04T00:16:59Z","cross_cats_sorted":[],"title_canon_sha256":"21d26b13465242c8747368c1e0375efd5d3ca6a7ff3c58a5f831e63383fb14d2","abstract_canon_sha256":"019b40d3a233cd04d510894cc4854009a5ee8c51641a7e36644fb7954424f536"},"schema_version":"1.0"},"canonical_sha256":"67ebf746bfbb67852c886bae87f5e96ef593e016a92785fcdf32becf45ed80ea","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:19:15.794106Z","signature_b64":"5qEmFJuV4BzopbRmvZfE0hLA7YbUdHHB2rF5hDTOFg/WxzqJeZPXf+t7/2TMxJ5e0UtJ3LRrWDOLFALENYaxBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"67ebf746bfbb67852c886bae87f5e96ef593e016a92785fcdf32becf45ed80ea","last_reissued_at":"2026-05-18T00:19:15.793565Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:19:15.793565Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1804.01197","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":"2026-05-18T00:19:15Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"F9eMHuK1EwudzdvK8lwjZINEYxrLg/Z6ezB/Qdgj9qbrz5RwzMAdRkfNX7wvIXTsLyK6eSbwBj/FN8iK3Jq4BQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-24T06:30:47.243055Z"},"content_sha256":"7b03a7537aebf16d42903a9290565b0828e3897f8462980e46c617281b252acb","schema_version":"1.0","event_id":"sha256:7b03a7537aebf16d42903a9290565b0828e3897f8462980e46c617281b252acb"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:M7V7ORV7XNTYKLEINOXIP5PJN3","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Development of composite control-variate stratified sampling approach for efficient stochastic calculation of molecular integrals","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"physics.chem-ph","authors_text":"Arindam Chakraborty, Michael G. Bayne","submitted_at":"2018-04-04T00:16:59Z","abstract_excerpt":"In this work, the composite control-variate stratified sampling (CCSS) method is presented for calculation of MO integrals without transformation of AO integrals. The central idea of this approach is to obtain the 2-electron MO integrals by direct integration of 2-electron coordinates. This method does not require or use pre-computed AO integrals and the value of the MOs at any point in space is obtained directly from the linear combination of AOs. The integration over the electronic coordinates was performed using stratified sampling Monte Carlo method. This approach was implemented by dividi"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1804.01197","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":"2026-05-18T00:19:15Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Y3K85wtFnOJ5Hif/p/jL8yUBcbkVvUj/dm8YO/sXDFwMQSk/5o3UsigJcFgr3PH6XO4vP+L1k3HjrP1dbaKbAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-24T06:30:47.243682Z"},"content_sha256":"f68f2cc7fc4571c1cf65ee27231eba1f3d7f2192dd9a9cd2a33ffd08e8d0dcd9","schema_version":"1.0","event_id":"sha256:f68f2cc7fc4571c1cf65ee27231eba1f3d7f2192dd9a9cd2a33ffd08e8d0dcd9"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/M7V7ORV7XNTYKLEINOXIP5PJN3/bundle.json","state_url":"https://pith.science/pith/M7V7ORV7XNTYKLEINOXIP5PJN3/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/M7V7ORV7XNTYKLEINOXIP5PJN3/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":"2026-06-24T06:30:47Z","links":{"resolver":"https://pith.science/pith/M7V7ORV7XNTYKLEINOXIP5PJN3","bundle":"https://pith.science/pith/M7V7ORV7XNTYKLEINOXIP5PJN3/bundle.json","state":"https://pith.science/pith/M7V7ORV7XNTYKLEINOXIP5PJN3/state.json","well_known_bundle":"https://pith.science/.well-known/pith/M7V7ORV7XNTYKLEINOXIP5PJN3/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:M7V7ORV7XNTYKLEINOXIP5PJN3","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":"019b40d3a233cd04d510894cc4854009a5ee8c51641a7e36644fb7954424f536","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.chem-ph","submitted_at":"2018-04-04T00:16:59Z","title_canon_sha256":"21d26b13465242c8747368c1e0375efd5d3ca6a7ff3c58a5f831e63383fb14d2"},"schema_version":"1.0","source":{"id":"1804.01197","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1804.01197","created_at":"2026-05-18T00:19:15Z"},{"alias_kind":"arxiv_version","alias_value":"1804.01197v1","created_at":"2026-05-18T00:19:15Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1804.01197","created_at":"2026-05-18T00:19:15Z"},{"alias_kind":"pith_short_12","alias_value":"M7V7ORV7XNTY","created_at":"2026-05-18T12:32:37Z"},{"alias_kind":"pith_short_16","alias_value":"M7V7ORV7XNTYKLEI","created_at":"2026-05-18T12:32:37Z"},{"alias_kind":"pith_short_8","alias_value":"M7V7ORV7","created_at":"2026-05-18T12:32:37Z"}],"graph_snapshots":[{"event_id":"sha256:f68f2cc7fc4571c1cf65ee27231eba1f3d7f2192dd9a9cd2a33ffd08e8d0dcd9","target":"graph","created_at":"2026-05-18T00:19:15Z","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":"In this work, the composite control-variate stratified sampling (CCSS) method is presented for calculation of MO integrals without transformation of AO integrals. The central idea of this approach is to obtain the 2-electron MO integrals by direct integration of 2-electron coordinates. This method does not require or use pre-computed AO integrals and the value of the MOs at any point in space is obtained directly from the linear combination of AOs. The integration over the electronic coordinates was performed using stratified sampling Monte Carlo method. This approach was implemented by dividi","authors_text":"Arindam Chakraborty, Michael G. Bayne","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.chem-ph","submitted_at":"2018-04-04T00:16:59Z","title":"Development of composite control-variate stratified sampling approach for efficient stochastic calculation of molecular integrals"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1804.01197","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":"sha256:7b03a7537aebf16d42903a9290565b0828e3897f8462980e46c617281b252acb","target":"record","created_at":"2026-05-18T00:19:15Z","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":"019b40d3a233cd04d510894cc4854009a5ee8c51641a7e36644fb7954424f536","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.chem-ph","submitted_at":"2018-04-04T00:16:59Z","title_canon_sha256":"21d26b13465242c8747368c1e0375efd5d3ca6a7ff3c58a5f831e63383fb14d2"},"schema_version":"1.0","source":{"id":"1804.01197","kind":"arxiv","version":1}},"canonical_sha256":"67ebf746bfbb67852c886bae87f5e96ef593e016a92785fcdf32becf45ed80ea","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"67ebf746bfbb67852c886bae87f5e96ef593e016a92785fcdf32becf45ed80ea","first_computed_at":"2026-05-18T00:19:15.793565Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:19:15.793565Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"5qEmFJuV4BzopbRmvZfE0hLA7YbUdHHB2rF5hDTOFg/WxzqJeZPXf+t7/2TMxJ5e0UtJ3LRrWDOLFALENYaxBw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:19:15.794106Z","signed_message":"canonical_sha256_bytes"},"source_id":"1804.01197","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7b03a7537aebf16d42903a9290565b0828e3897f8462980e46c617281b252acb","sha256:f68f2cc7fc4571c1cf65ee27231eba1f3d7f2192dd9a9cd2a33ffd08e8d0dcd9"],"state_sha256":"61727024ec1e2612e5cebba3082f51ce71273ee49dcc0fbe195f7610e4c50914"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ivU7LHIgtlGotcuYUZuwplXMtiPlU5ButrXSOV/ScNr5XzigLVBWfZxdLrlZ6LnM8hCAUiiqg959vldF2XlYDQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-24T06:30:47.247046Z","bundle_sha256":"5aa8b8aab6b47d378fcaabd68f5e78041c9c0605d8796e817b26438ae9051754"}}