{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:GFHCOV5XK242DAK6HJHEBYM4NE","short_pith_number":"pith:GFHCOV5X","canonical_record":{"source":{"id":"1501.03421","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2015-01-14T17:35:17Z","cross_cats_sorted":[],"title_canon_sha256":"b873b10a24023cfe50c5c4e1935dbeefd475ef2d6cd524afb2cb05607cfd16d7","abstract_canon_sha256":"26ded8710605dab7c21f4cb37c7e5842cc120ecfd9e3935e15c825fa3e1e7582"},"schema_version":"1.0"},"canonical_sha256":"314e2757b756b9a1815e3a4e40e19c691954fddb1bb4676d6e084f2c3a81ce08","source":{"kind":"arxiv","id":"1501.03421","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1501.03421","created_at":"2026-05-18T02:29:24Z"},{"alias_kind":"arxiv_version","alias_value":"1501.03421v1","created_at":"2026-05-18T02:29:24Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1501.03421","created_at":"2026-05-18T02:29:24Z"},{"alias_kind":"pith_short_12","alias_value":"GFHCOV5XK242","created_at":"2026-05-18T12:29:22Z"},{"alias_kind":"pith_short_16","alias_value":"GFHCOV5XK242DAK6","created_at":"2026-05-18T12:29:22Z"},{"alias_kind":"pith_short_8","alias_value":"GFHCOV5X","created_at":"2026-05-18T12:29:22Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:GFHCOV5XK242DAK6HJHEBYM4NE","target":"record","payload":{"canonical_record":{"source":{"id":"1501.03421","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2015-01-14T17:35:17Z","cross_cats_sorted":[],"title_canon_sha256":"b873b10a24023cfe50c5c4e1935dbeefd475ef2d6cd524afb2cb05607cfd16d7","abstract_canon_sha256":"26ded8710605dab7c21f4cb37c7e5842cc120ecfd9e3935e15c825fa3e1e7582"},"schema_version":"1.0"},"canonical_sha256":"314e2757b756b9a1815e3a4e40e19c691954fddb1bb4676d6e084f2c3a81ce08","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:29:24.102176Z","signature_b64":"l61XLwDNqLrudSzXejsp5ZBHY6kglnDyvb9hJPwXyuNSlc29kCzNHtNHtRP7ie7KSzThqWnFTIQ+3y9JLtnMCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"314e2757b756b9a1815e3a4e40e19c691954fddb1bb4676d6e084f2c3a81ce08","last_reissued_at":"2026-05-18T02:29:24.101710Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:29:24.101710Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1501.03421","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":"2026-05-18T02:29:24Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"EMUlMPx+gBYbOqDKwuKZOULG1/gJvurZG8owkvT1vYkdOm/xLX7SPiNFXxbnEFv1bC+yPZfPGi5QkmxtvG9vCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T18:29:00.216058Z"},"content_sha256":"3880caa9bdcb38fb05e11d267bc7d1c0752a8ccd2e0506d08e34dfc5f0190953","schema_version":"1.0","event_id":"sha256:3880caa9bdcb38fb05e11d267bc7d1c0752a8ccd2e0506d08e34dfc5f0190953"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:GFHCOV5XK242DAK6HJHEBYM4NE","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Some New Symplectic Multiple Timestepping Methods for Multiscale Molecular Dynamics Models","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NA","authors_text":"Chao Liang, Xiantao Li, Xiaolan Yuan","submitted_at":"2015-01-14T17:35:17Z","abstract_excerpt":"We derived a number of numerical methods to treat biomolecular systems with multiple time scales. Based on the splitting of the operators associated with the slow-varying and fast-varying forces, new multiple time-stepping (MTS) methods are obtained by eliminating the dominant terms in the error. These new methods can be viewed as a generalization of the impulse method. In the implementation of these methods, the long-range forces only need to be computed on the slow time scale, which reduces the computational cost considerably. Preliminary analysis for the energy conservation property is prov"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1501.03421","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":"2026-05-18T02:29:24Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"BMZHzhBHZbsoe6hPDvAY3phSTK0FYOS/BtUMziDSD6xuW7rYLGpuQCUoo5SkEemugrxC2nx4ZlZcj8ijJFvfDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T18:29:00.216887Z"},"content_sha256":"6bb48474b24ab7839773be03cb0e65ff219274f8e7b73d0dfde3d58f0a33b14a","schema_version":"1.0","event_id":"sha256:6bb48474b24ab7839773be03cb0e65ff219274f8e7b73d0dfde3d58f0a33b14a"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/GFHCOV5XK242DAK6HJHEBYM4NE/bundle.json","state_url":"https://pith.science/pith/GFHCOV5XK242DAK6HJHEBYM4NE/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/GFHCOV5XK242DAK6HJHEBYM4NE/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":"2026-05-30T18:29:00Z","links":{"resolver":"https://pith.science/pith/GFHCOV5XK242DAK6HJHEBYM4NE","bundle":"https://pith.science/pith/GFHCOV5XK242DAK6HJHEBYM4NE/bundle.json","state":"https://pith.science/pith/GFHCOV5XK242DAK6HJHEBYM4NE/state.json","well_known_bundle":"https://pith.science/.well-known/pith/GFHCOV5XK242DAK6HJHEBYM4NE/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:GFHCOV5XK242DAK6HJHEBYM4NE","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":"26ded8710605dab7c21f4cb37c7e5842cc120ecfd9e3935e15c825fa3e1e7582","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2015-01-14T17:35:17Z","title_canon_sha256":"b873b10a24023cfe50c5c4e1935dbeefd475ef2d6cd524afb2cb05607cfd16d7"},"schema_version":"1.0","source":{"id":"1501.03421","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1501.03421","created_at":"2026-05-18T02:29:24Z"},{"alias_kind":"arxiv_version","alias_value":"1501.03421v1","created_at":"2026-05-18T02:29:24Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1501.03421","created_at":"2026-05-18T02:29:24Z"},{"alias_kind":"pith_short_12","alias_value":"GFHCOV5XK242","created_at":"2026-05-18T12:29:22Z"},{"alias_kind":"pith_short_16","alias_value":"GFHCOV5XK242DAK6","created_at":"2026-05-18T12:29:22Z"},{"alias_kind":"pith_short_8","alias_value":"GFHCOV5X","created_at":"2026-05-18T12:29:22Z"}],"graph_snapshots":[{"event_id":"sha256:6bb48474b24ab7839773be03cb0e65ff219274f8e7b73d0dfde3d58f0a33b14a","target":"graph","created_at":"2026-05-18T02:29:24Z","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 derived a number of numerical methods to treat biomolecular systems with multiple time scales. Based on the splitting of the operators associated with the slow-varying and fast-varying forces, new multiple time-stepping (MTS) methods are obtained by eliminating the dominant terms in the error. These new methods can be viewed as a generalization of the impulse method. In the implementation of these methods, the long-range forces only need to be computed on the slow time scale, which reduces the computational cost considerably. Preliminary analysis for the energy conservation property is prov","authors_text":"Chao Liang, Xiantao Li, Xiaolan Yuan","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2015-01-14T17:35:17Z","title":"Some New Symplectic Multiple Timestepping Methods for Multiscale Molecular Dynamics Models"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1501.03421","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":"sha256:3880caa9bdcb38fb05e11d267bc7d1c0752a8ccd2e0506d08e34dfc5f0190953","target":"record","created_at":"2026-05-18T02:29:24Z","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":"26ded8710605dab7c21f4cb37c7e5842cc120ecfd9e3935e15c825fa3e1e7582","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2015-01-14T17:35:17Z","title_canon_sha256":"b873b10a24023cfe50c5c4e1935dbeefd475ef2d6cd524afb2cb05607cfd16d7"},"schema_version":"1.0","source":{"id":"1501.03421","kind":"arxiv","version":1}},"canonical_sha256":"314e2757b756b9a1815e3a4e40e19c691954fddb1bb4676d6e084f2c3a81ce08","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"314e2757b756b9a1815e3a4e40e19c691954fddb1bb4676d6e084f2c3a81ce08","first_computed_at":"2026-05-18T02:29:24.101710Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:29:24.101710Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"l61XLwDNqLrudSzXejsp5ZBHY6kglnDyvb9hJPwXyuNSlc29kCzNHtNHtRP7ie7KSzThqWnFTIQ+3y9JLtnMCw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:29:24.102176Z","signed_message":"canonical_sha256_bytes"},"source_id":"1501.03421","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3880caa9bdcb38fb05e11d267bc7d1c0752a8ccd2e0506d08e34dfc5f0190953","sha256:6bb48474b24ab7839773be03cb0e65ff219274f8e7b73d0dfde3d58f0a33b14a"],"state_sha256":"ed84c224a0a2ebd008daf7cedc13266e4fbaaecd9deaa7c5a726d73ad94473a2"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"PpLZO9x/WIaPydK5GVlTj7XOPrn/Jvkuz4dVg0TZJ3fz03604BnA+mdrLtx5ft/5kDf+1psww1JvZEV4VqXfAA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-30T18:29:00.221354Z","bundle_sha256":"1976c1d8901fe80c2af673080bd996d28f6f361b2630cfd7bc373b40ed3a6301"}}