{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2024:ORG6ZYWTKUXOIGSSWHGNNTXRUS","short_pith_number":"pith:ORG6ZYWT","canonical_record":{"source":{"id":"2405.13436","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2024-05-22T08:25:26Z","cross_cats_sorted":["cs.NA","math.NA"],"title_canon_sha256":"44fcbddac7b5933e4a423de79133c5565ce5f3d8683afe8715389be7658cdf58","abstract_canon_sha256":"ddb8a9c013deb6790a548de8b1bb3e6aac9cfda847db0bc1cb6c3e11ad352784"},"schema_version":"1.0"},"canonical_sha256":"744dece2d3552ee41a52b1ccd6cef1a4875e51b2c623a12934170ed9849183fe","source":{"kind":"arxiv","id":"2405.13436","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2405.13436","created_at":"2026-07-05T09:49:42Z"},{"alias_kind":"arxiv_version","alias_value":"2405.13436v2","created_at":"2026-07-05T09:49:42Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2405.13436","created_at":"2026-07-05T09:49:42Z"},{"alias_kind":"pith_short_12","alias_value":"ORG6ZYWTKUXO","created_at":"2026-07-05T09:49:42Z"},{"alias_kind":"pith_short_16","alias_value":"ORG6ZYWTKUXOIGSS","created_at":"2026-07-05T09:49:42Z"},{"alias_kind":"pith_short_8","alias_value":"ORG6ZYWT","created_at":"2026-07-05T09:49:42Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2024:ORG6ZYWTKUXOIGSSWHGNNTXRUS","target":"record","payload":{"canonical_record":{"source":{"id":"2405.13436","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2024-05-22T08:25:26Z","cross_cats_sorted":["cs.NA","math.NA"],"title_canon_sha256":"44fcbddac7b5933e4a423de79133c5565ce5f3d8683afe8715389be7658cdf58","abstract_canon_sha256":"ddb8a9c013deb6790a548de8b1bb3e6aac9cfda847db0bc1cb6c3e11ad352784"},"schema_version":"1.0"},"canonical_sha256":"744dece2d3552ee41a52b1ccd6cef1a4875e51b2c623a12934170ed9849183fe","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T09:49:42.697423Z","signature_b64":"7MRy7eXHCB4bjs/+TOtA68B9a68kTb9NR8GcmBoLNlPGgd4SgPxEcfLGPg6Wmh70iXNKQ1E+x9nR9CgwhBICAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"744dece2d3552ee41a52b1ccd6cef1a4875e51b2c623a12934170ed9849183fe","last_reissued_at":"2026-07-05T09:49:42.696903Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T09:49:42.696903Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2405.13436","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T09:49:42Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"HaYipUZ5qtteGbAR4H1Yixx9CDivUjnAjYGAdJLjoRwEhmD/J0tfrjJajoUl7qJOMcErTfkPqe+l3lss572KCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-08T09:08:32.198548Z"},"content_sha256":"860741d74d3660d223f305c43f0fce75f59319f1a192fa072569f859a91fe557","schema_version":"1.0","event_id":"sha256:860741d74d3660d223f305c43f0fce75f59319f1a192fa072569f859a91fe557"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2024:ORG6ZYWTKUXOIGSSWHGNNTXRUS","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On the approximation of the von Neumann equation in the semi-classical limit. Part I : numerical algorithm","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.NA","math.NA"],"primary_cat":"math.AP","authors_text":"Fran\\c{c}ois Golse (CMLS), Francis Filbet (IMT)","submitted_at":"2024-05-22T08:25:26Z","abstract_excerpt":"We propose a new approach to discretize the von Neumann equation, which is efficient in the semi-classical limit. This method is first based on the so called Weyl's variables to address the stiffness associated with the equation. Then, by applying a truncated Hermite expansion of the density operator, we successfully handle this stiffness. Additionally, we develop a finite volume approximation for practical implementation and conduct numerical simulations to illustrate the efficiency of our approach. This asymptotic preserving numerical approximation, combined with the use of Hermite polynomia"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2405.13436","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2405.13436/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-07-05T09:49:42Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"InPC0Liktwry+k+u8+jgW724iLrSL5vc6IGMBkNoMHE2tx6grFll6YqD9SPz+LdtKV0UoVrjtME/h/n7utfSBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-08T09:08:32.199505Z"},"content_sha256":"1631499604de75d5d8226f68923d661d9efafcd58125fe82de7a3386a0adbfe3","schema_version":"1.0","event_id":"sha256:1631499604de75d5d8226f68923d661d9efafcd58125fe82de7a3386a0adbfe3"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/ORG6ZYWTKUXOIGSSWHGNNTXRUS/bundle.json","state_url":"https://pith.science/pith/ORG6ZYWTKUXOIGSSWHGNNTXRUS/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/ORG6ZYWTKUXOIGSSWHGNNTXRUS/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":"2026-08-08T09:08:32Z","links":{"resolver":"https://pith.science/pith/ORG6ZYWTKUXOIGSSWHGNNTXRUS","bundle":"https://pith.science/pith/ORG6ZYWTKUXOIGSSWHGNNTXRUS/bundle.json","state":"https://pith.science/pith/ORG6ZYWTKUXOIGSSWHGNNTXRUS/state.json","well_known_bundle":"https://pith.science/.well-known/pith/ORG6ZYWTKUXOIGSSWHGNNTXRUS/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:ORG6ZYWTKUXOIGSSWHGNNTXRUS","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":"ddb8a9c013deb6790a548de8b1bb3e6aac9cfda847db0bc1cb6c3e11ad352784","cross_cats_sorted":["cs.NA","math.NA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2024-05-22T08:25:26Z","title_canon_sha256":"44fcbddac7b5933e4a423de79133c5565ce5f3d8683afe8715389be7658cdf58"},"schema_version":"1.0","source":{"id":"2405.13436","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2405.13436","created_at":"2026-07-05T09:49:42Z"},{"alias_kind":"arxiv_version","alias_value":"2405.13436v2","created_at":"2026-07-05T09:49:42Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2405.13436","created_at":"2026-07-05T09:49:42Z"},{"alias_kind":"pith_short_12","alias_value":"ORG6ZYWTKUXO","created_at":"2026-07-05T09:49:42Z"},{"alias_kind":"pith_short_16","alias_value":"ORG6ZYWTKUXOIGSS","created_at":"2026-07-05T09:49:42Z"},{"alias_kind":"pith_short_8","alias_value":"ORG6ZYWT","created_at":"2026-07-05T09:49:42Z"}],"graph_snapshots":[{"event_id":"sha256:1631499604de75d5d8226f68923d661d9efafcd58125fe82de7a3386a0adbfe3","target":"graph","created_at":"2026-07-05T09:49:42Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2405.13436/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We propose a new approach to discretize the von Neumann equation, which is efficient in the semi-classical limit. This method is first based on the so called Weyl's variables to address the stiffness associated with the equation. Then, by applying a truncated Hermite expansion of the density operator, we successfully handle this stiffness. Additionally, we develop a finite volume approximation for practical implementation and conduct numerical simulations to illustrate the efficiency of our approach. This asymptotic preserving numerical approximation, combined with the use of Hermite polynomia","authors_text":"Fran\\c{c}ois Golse (CMLS), Francis Filbet (IMT)","cross_cats":["cs.NA","math.NA"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2024-05-22T08:25:26Z","title":"On the approximation of the von Neumann equation in the semi-classical limit. Part I : numerical algorithm"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2405.13436","kind":"arxiv","version":2},"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":"sha256:860741d74d3660d223f305c43f0fce75f59319f1a192fa072569f859a91fe557","target":"record","created_at":"2026-07-05T09:49:42Z","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":"ddb8a9c013deb6790a548de8b1bb3e6aac9cfda847db0bc1cb6c3e11ad352784","cross_cats_sorted":["cs.NA","math.NA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2024-05-22T08:25:26Z","title_canon_sha256":"44fcbddac7b5933e4a423de79133c5565ce5f3d8683afe8715389be7658cdf58"},"schema_version":"1.0","source":{"id":"2405.13436","kind":"arxiv","version":2}},"canonical_sha256":"744dece2d3552ee41a52b1ccd6cef1a4875e51b2c623a12934170ed9849183fe","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"744dece2d3552ee41a52b1ccd6cef1a4875e51b2c623a12934170ed9849183fe","first_computed_at":"2026-07-05T09:49:42.696903Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T09:49:42.696903Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"7MRy7eXHCB4bjs/+TOtA68B9a68kTb9NR8GcmBoLNlPGgd4SgPxEcfLGPg6Wmh70iXNKQ1E+x9nR9CgwhBICAA==","signature_status":"signed_v1","signed_at":"2026-07-05T09:49:42.697423Z","signed_message":"canonical_sha256_bytes"},"source_id":"2405.13436","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:860741d74d3660d223f305c43f0fce75f59319f1a192fa072569f859a91fe557","sha256:1631499604de75d5d8226f68923d661d9efafcd58125fe82de7a3386a0adbfe3"],"state_sha256":"f6af0ef29c099336ec51cd0286e79f28513adb54bb1c747cb796615d2105765c"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"H6UAwAYU4y0EtSLL/uBCvZsHPtgtcaX+8p9Gzd8xyDLz8J9bzu4uRhrOpurWLWRA6FM80zm4Ome0gZlKXFxhCg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-08T09:08:32.205148Z","bundle_sha256":"451ed073b80026d0a169be6e3c362c919890929b24a1c818f139431cf330daa1"}}