{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:M666LOESP3KJB22CTQ6BEEAAX7","short_pith_number":"pith:M666LOES","canonical_record":{"source":{"id":"1710.02401","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2017-10-06T13:29:49Z","cross_cats_sorted":[],"title_canon_sha256":"367822fd628ab6aeafe114dbe33611ee6a3a961cf8b8c793c6d2169939ffc886","abstract_canon_sha256":"152e007c259a38c45569c045384509d8ad98316bcaf15c9708dfecd9dd7d1555"},"schema_version":"1.0"},"canonical_sha256":"67bde5b8927ed490eb429c3c121000bfc57f659be2c906cab2d780c065f88fcb","source":{"kind":"arxiv","id":"1710.02401","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1710.02401","created_at":"2026-05-18T00:33:33Z"},{"alias_kind":"arxiv_version","alias_value":"1710.02401v1","created_at":"2026-05-18T00:33:33Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1710.02401","created_at":"2026-05-18T00:33:33Z"},{"alias_kind":"pith_short_12","alias_value":"M666LOESP3KJ","created_at":"2026-05-18T12:31:28Z"},{"alias_kind":"pith_short_16","alias_value":"M666LOESP3KJB22C","created_at":"2026-05-18T12:31:28Z"},{"alias_kind":"pith_short_8","alias_value":"M666LOES","created_at":"2026-05-18T12:31:28Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:M666LOESP3KJB22CTQ6BEEAAX7","target":"record","payload":{"canonical_record":{"source":{"id":"1710.02401","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2017-10-06T13:29:49Z","cross_cats_sorted":[],"title_canon_sha256":"367822fd628ab6aeafe114dbe33611ee6a3a961cf8b8c793c6d2169939ffc886","abstract_canon_sha256":"152e007c259a38c45569c045384509d8ad98316bcaf15c9708dfecd9dd7d1555"},"schema_version":"1.0"},"canonical_sha256":"67bde5b8927ed490eb429c3c121000bfc57f659be2c906cab2d780c065f88fcb","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:33:33.489613Z","signature_b64":"N3PLfd3xPanoWt2AXyASO3swyk7rASo09PLAtz/au+juX25RPd3QBbR7Mv10vvxJU3IvmN1dSTQRvlUm7VXLDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"67bde5b8927ed490eb429c3c121000bfc57f659be2c906cab2d780c065f88fcb","last_reissued_at":"2026-05-18T00:33:33.488872Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:33:33.488872Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1710.02401","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":"2026-05-18T00:33:33Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"9eDUwO6x3KZbeW1NjsAqi7BmC4a6Oo6qNvqG7Rkkqc9Eu7Jj93zQHfmMjHRSNnWJ3CntXufcVDomMitiVqTvCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T05:04:04.851428Z"},"content_sha256":"58e2c34b1b5191fc1028bdd85cbc4ce4217ac080bff7c57381d81aee06855617","schema_version":"1.0","event_id":"sha256:58e2c34b1b5191fc1028bdd85cbc4ce4217ac080bff7c57381d81aee06855617"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:M666LOESP3KJB22CTQ6BEEAAX7","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Domain Decomposition Method for the $N$-body Time-Independent and Time-Dependent Schr\\\"odinger Equation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NA","authors_text":"E. Lorin","submitted_at":"2017-10-06T13:29:49Z","abstract_excerpt":"This paper is devoted to the derivation of a pleasingly parallel Galerkin method for the time-independent $N$-body Schr\\\"odinger equation, and its time-dependent version modeling molecules subject to an external electric field. In this goal, we develop a Schwarz Waveform Relaxation (SWR) Domain Decomposition Method (DDM) for the $N$-body Schr\\\"odinger equation. In order to optimize the efficiency and accuracy of the overall algorithm, i) we use mollifiers to regularize the singular potentials and to approximate the Schr\\\"odinger Hamiltonian, ii) we select appropriate orbitals, and iii) we care"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1710.02401","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":"2026-05-18T00:33:33Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"q6LdjFbapJQRqve0yMAKA8upmCvPU0kZswafzB7djk0QZq/PbqG9RlHrAMv4UjEqKVm5/Mulp3nymr0AUBXACQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T05:04:04.852179Z"},"content_sha256":"300aa4222c255e1042288c864c2a7eb8e72f042d778b51569f2765854b5656f9","schema_version":"1.0","event_id":"sha256:300aa4222c255e1042288c864c2a7eb8e72f042d778b51569f2765854b5656f9"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/M666LOESP3KJB22CTQ6BEEAAX7/bundle.json","state_url":"https://pith.science/pith/M666LOESP3KJB22CTQ6BEEAAX7/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/M666LOESP3KJB22CTQ6BEEAAX7/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":"2026-05-31T05:04:04Z","links":{"resolver":"https://pith.science/pith/M666LOESP3KJB22CTQ6BEEAAX7","bundle":"https://pith.science/pith/M666LOESP3KJB22CTQ6BEEAAX7/bundle.json","state":"https://pith.science/pith/M666LOESP3KJB22CTQ6BEEAAX7/state.json","well_known_bundle":"https://pith.science/.well-known/pith/M666LOESP3KJB22CTQ6BEEAAX7/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:M666LOESP3KJB22CTQ6BEEAAX7","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":"152e007c259a38c45569c045384509d8ad98316bcaf15c9708dfecd9dd7d1555","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2017-10-06T13:29:49Z","title_canon_sha256":"367822fd628ab6aeafe114dbe33611ee6a3a961cf8b8c793c6d2169939ffc886"},"schema_version":"1.0","source":{"id":"1710.02401","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1710.02401","created_at":"2026-05-18T00:33:33Z"},{"alias_kind":"arxiv_version","alias_value":"1710.02401v1","created_at":"2026-05-18T00:33:33Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1710.02401","created_at":"2026-05-18T00:33:33Z"},{"alias_kind":"pith_short_12","alias_value":"M666LOESP3KJ","created_at":"2026-05-18T12:31:28Z"},{"alias_kind":"pith_short_16","alias_value":"M666LOESP3KJB22C","created_at":"2026-05-18T12:31:28Z"},{"alias_kind":"pith_short_8","alias_value":"M666LOES","created_at":"2026-05-18T12:31:28Z"}],"graph_snapshots":[{"event_id":"sha256:300aa4222c255e1042288c864c2a7eb8e72f042d778b51569f2765854b5656f9","target":"graph","created_at":"2026-05-18T00:33:33Z","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":"This paper is devoted to the derivation of a pleasingly parallel Galerkin method for the time-independent $N$-body Schr\\\"odinger equation, and its time-dependent version modeling molecules subject to an external electric field. In this goal, we develop a Schwarz Waveform Relaxation (SWR) Domain Decomposition Method (DDM) for the $N$-body Schr\\\"odinger equation. In order to optimize the efficiency and accuracy of the overall algorithm, i) we use mollifiers to regularize the singular potentials and to approximate the Schr\\\"odinger Hamiltonian, ii) we select appropriate orbitals, and iii) we care","authors_text":"E. Lorin","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2017-10-06T13:29:49Z","title":"Domain Decomposition Method for the $N$-body Time-Independent and Time-Dependent Schr\\\"odinger Equation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1710.02401","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":"sha256:58e2c34b1b5191fc1028bdd85cbc4ce4217ac080bff7c57381d81aee06855617","target":"record","created_at":"2026-05-18T00:33:33Z","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":"152e007c259a38c45569c045384509d8ad98316bcaf15c9708dfecd9dd7d1555","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2017-10-06T13:29:49Z","title_canon_sha256":"367822fd628ab6aeafe114dbe33611ee6a3a961cf8b8c793c6d2169939ffc886"},"schema_version":"1.0","source":{"id":"1710.02401","kind":"arxiv","version":1}},"canonical_sha256":"67bde5b8927ed490eb429c3c121000bfc57f659be2c906cab2d780c065f88fcb","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"67bde5b8927ed490eb429c3c121000bfc57f659be2c906cab2d780c065f88fcb","first_computed_at":"2026-05-18T00:33:33.488872Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:33:33.488872Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"N3PLfd3xPanoWt2AXyASO3swyk7rASo09PLAtz/au+juX25RPd3QBbR7Mv10vvxJU3IvmN1dSTQRvlUm7VXLDg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:33:33.489613Z","signed_message":"canonical_sha256_bytes"},"source_id":"1710.02401","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:58e2c34b1b5191fc1028bdd85cbc4ce4217ac080bff7c57381d81aee06855617","sha256:300aa4222c255e1042288c864c2a7eb8e72f042d778b51569f2765854b5656f9"],"state_sha256":"a89330c7809088e82135adcb02aef88f594051bc78443b6981bbcb1a5c6ed8b2"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"UzyT7AdPhKGYbtFTwtIe7ovjrlQo97UD8vJdB51gOVTEa9GQ3EsJ8oOneSIZEcdbCrweRkkua02XKuuUy6DzAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-31T05:04:04.856102Z","bundle_sha256":"0a0519193af526db802e227c607451e368830a58d26fece45d44bfa54794af12"}}