{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:PJD6Q4WGALYDTCF5DDCXUTSYJ3","short_pith_number":"pith:PJD6Q4WG","canonical_record":{"source":{"id":"1607.04596","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CE","submitted_at":"2016-07-15T17:44:35Z","cross_cats_sorted":[],"title_canon_sha256":"65443c07d9bad1531eb784b996a9d01f8129b99e6254cdbb0e8be3672a2426e0","abstract_canon_sha256":"6f3f08063cb72d1656c1842ad644e66e66dafa714aa54a49bde89c700deaded4"},"schema_version":"1.0"},"canonical_sha256":"7a47e872c602f03988bd18c57a4e584ee2c61646cda90c6940fb4cb51c79680c","source":{"kind":"arxiv","id":"1607.04596","version":4},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1607.04596","created_at":"2026-05-18T00:52:44Z"},{"alias_kind":"arxiv_version","alias_value":"1607.04596v4","created_at":"2026-05-18T00:52:44Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1607.04596","created_at":"2026-05-18T00:52:44Z"},{"alias_kind":"pith_short_12","alias_value":"PJD6Q4WGALYD","created_at":"2026-05-18T12:30:39Z"},{"alias_kind":"pith_short_16","alias_value":"PJD6Q4WGALYDTCF5","created_at":"2026-05-18T12:30:39Z"},{"alias_kind":"pith_short_8","alias_value":"PJD6Q4WG","created_at":"2026-05-18T12:30:39Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:PJD6Q4WGALYDTCF5DDCXUTSYJ3","target":"record","payload":{"canonical_record":{"source":{"id":"1607.04596","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CE","submitted_at":"2016-07-15T17:44:35Z","cross_cats_sorted":[],"title_canon_sha256":"65443c07d9bad1531eb784b996a9d01f8129b99e6254cdbb0e8be3672a2426e0","abstract_canon_sha256":"6f3f08063cb72d1656c1842ad644e66e66dafa714aa54a49bde89c700deaded4"},"schema_version":"1.0"},"canonical_sha256":"7a47e872c602f03988bd18c57a4e584ee2c61646cda90c6940fb4cb51c79680c","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:52:44.213120Z","signature_b64":"N7JgDx8AXLycYgnRLPz1O3F/dpwBOY6Ho74ZpMpWzlohW7BUYRz6FzYHuDLtjnnGED/MvHwGlnceLfcyk4pFCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7a47e872c602f03988bd18c57a4e584ee2c61646cda90c6940fb4cb51c79680c","last_reissued_at":"2026-05-18T00:52:44.212479Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:52:44.212479Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1607.04596","source_version":4,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:52:44Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"cWktr8KomcakQeAM23BSgJkW2p22uUw9XxM6PpMylcwWDv14Xe+9zeJ96Sy2/PS/PbXvHYHg5BLu2aABQOi4CQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-13T13:18:26.798743Z"},"content_sha256":"132d432f8a2c3d0ab80261ac31d47b9ff4fb022f793369383feb74d274dc5bb9","schema_version":"1.0","event_id":"sha256:132d432f8a2c3d0ab80261ac31d47b9ff4fb022f793369383feb74d274dc5bb9"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:PJD6Q4WGALYDTCF5DDCXUTSYJ3","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Solving the stochastic Landau-Lifshitz-Gilbert-Slonczewski equation for monodomain nanomagnets : A survey and analysis of numerical techniques","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cs.CE","authors_text":"(2) Department of Electrical Engineering, Arun Parthasarathy (2), New York University, New York University), Nikhil Rangarajan (2), Sebastian Ament (1), Shaloo Rakheja (2) ((1) Courant Institute of Mathematical Sciences","submitted_at":"2016-07-15T17:44:35Z","abstract_excerpt":"The stochastic Landau-Lifshitz-Gilbert-Slonczewski (s-LLGS) equation is widely used to study the temporal evolution of the macrospin subject to spin torque and thermal noise. The numerical simulation of the s-LLGS equation requires an appropriate choice of stochastic calculus and numerical integration scheme. In this paper, we comprehensively evaluate the accuracy and complexity of various numerical techniques to solve the s-LLGS equation. We focus on implicit midpoint, Heun, and Euler-Heun methods that converge to the Stratonovich solution of the s-LLGS equation. By performing numerical tests"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1607.04596","kind":"arxiv","version":4},"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":"2026-05-18T00:52:44Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"sK763Y3lEjO4ZlbU9/TDQTjwYqQLr6Vkxc1EawaiKf0gflC2kVKPa8nEs7Vzu04YHZhfysyy1CouvEs+SAxIBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-13T13:18:26.799225Z"},"content_sha256":"1d5613affe10fa19629e0f9c9bd271b8b3a5b3aca6641697e3e67130f372cd53","schema_version":"1.0","event_id":"sha256:1d5613affe10fa19629e0f9c9bd271b8b3a5b3aca6641697e3e67130f372cd53"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/PJD6Q4WGALYDTCF5DDCXUTSYJ3/bundle.json","state_url":"https://pith.science/pith/PJD6Q4WGALYDTCF5DDCXUTSYJ3/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/PJD6Q4WGALYDTCF5DDCXUTSYJ3/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":"2026-08-13T13:18:26Z","links":{"resolver":"https://pith.science/pith/PJD6Q4WGALYDTCF5DDCXUTSYJ3","bundle":"https://pith.science/pith/PJD6Q4WGALYDTCF5DDCXUTSYJ3/bundle.json","state":"https://pith.science/pith/PJD6Q4WGALYDTCF5DDCXUTSYJ3/state.json","well_known_bundle":"https://pith.science/.well-known/pith/PJD6Q4WGALYDTCF5DDCXUTSYJ3/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:PJD6Q4WGALYDTCF5DDCXUTSYJ3","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":"6f3f08063cb72d1656c1842ad644e66e66dafa714aa54a49bde89c700deaded4","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CE","submitted_at":"2016-07-15T17:44:35Z","title_canon_sha256":"65443c07d9bad1531eb784b996a9d01f8129b99e6254cdbb0e8be3672a2426e0"},"schema_version":"1.0","source":{"id":"1607.04596","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1607.04596","created_at":"2026-05-18T00:52:44Z"},{"alias_kind":"arxiv_version","alias_value":"1607.04596v4","created_at":"2026-05-18T00:52:44Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1607.04596","created_at":"2026-05-18T00:52:44Z"},{"alias_kind":"pith_short_12","alias_value":"PJD6Q4WGALYD","created_at":"2026-05-18T12:30:39Z"},{"alias_kind":"pith_short_16","alias_value":"PJD6Q4WGALYDTCF5","created_at":"2026-05-18T12:30:39Z"},{"alias_kind":"pith_short_8","alias_value":"PJD6Q4WG","created_at":"2026-05-18T12:30:39Z"}],"graph_snapshots":[{"event_id":"sha256:1d5613affe10fa19629e0f9c9bd271b8b3a5b3aca6641697e3e67130f372cd53","target":"graph","created_at":"2026-05-18T00:52:44Z","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":"The stochastic Landau-Lifshitz-Gilbert-Slonczewski (s-LLGS) equation is widely used to study the temporal evolution of the macrospin subject to spin torque and thermal noise. The numerical simulation of the s-LLGS equation requires an appropriate choice of stochastic calculus and numerical integration scheme. In this paper, we comprehensively evaluate the accuracy and complexity of various numerical techniques to solve the s-LLGS equation. We focus on implicit midpoint, Heun, and Euler-Heun methods that converge to the Stratonovich solution of the s-LLGS equation. By performing numerical tests","authors_text":"(2) Department of Electrical Engineering, Arun Parthasarathy (2), New York University, New York University), Nikhil Rangarajan (2), Sebastian Ament (1), Shaloo Rakheja (2) ((1) Courant Institute of Mathematical Sciences","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CE","submitted_at":"2016-07-15T17:44:35Z","title":"Solving the stochastic Landau-Lifshitz-Gilbert-Slonczewski equation for monodomain nanomagnets : A survey and analysis of numerical techniques"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1607.04596","kind":"arxiv","version":4},"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":"sha256:132d432f8a2c3d0ab80261ac31d47b9ff4fb022f793369383feb74d274dc5bb9","target":"record","created_at":"2026-05-18T00:52:44Z","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":"6f3f08063cb72d1656c1842ad644e66e66dafa714aa54a49bde89c700deaded4","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CE","submitted_at":"2016-07-15T17:44:35Z","title_canon_sha256":"65443c07d9bad1531eb784b996a9d01f8129b99e6254cdbb0e8be3672a2426e0"},"schema_version":"1.0","source":{"id":"1607.04596","kind":"arxiv","version":4}},"canonical_sha256":"7a47e872c602f03988bd18c57a4e584ee2c61646cda90c6940fb4cb51c79680c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7a47e872c602f03988bd18c57a4e584ee2c61646cda90c6940fb4cb51c79680c","first_computed_at":"2026-05-18T00:52:44.212479Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:52:44.212479Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"N7JgDx8AXLycYgnRLPz1O3F/dpwBOY6Ho74ZpMpWzlohW7BUYRz6FzYHuDLtjnnGED/MvHwGlnceLfcyk4pFCg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:52:44.213120Z","signed_message":"canonical_sha256_bytes"},"source_id":"1607.04596","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:132d432f8a2c3d0ab80261ac31d47b9ff4fb022f793369383feb74d274dc5bb9","sha256:1d5613affe10fa19629e0f9c9bd271b8b3a5b3aca6641697e3e67130f372cd53"],"state_sha256":"397099b7ad1c9460ee276d082369d43fa9ba15a67b58eecde94df80b4e2c6b66"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"gEcRkmfmEfsgDuJGI4URnc+2ursWxurWI+x7SjFlfLDinPZDJkzaJd9cY0yRGY5M2yffVLObvnA1dY+IKJkLDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-13T13:18:26.815407Z","bundle_sha256":"03feabdd215560f4a70f561bd1bb05a50e359515910cc099b9c283c0157f8109"}}