{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2022:WUKOLVX5RUG6HFEKMHORJTLLQL","short_pith_number":"pith:WUKOLVX5","canonical_record":{"source":{"id":"2206.14404","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.comp-ph","submitted_at":"2022-06-29T05:12:41Z","cross_cats_sorted":[],"title_canon_sha256":"3f9fb2e4f68b68715a009fb99dbfc9e14f7d7ab54eef9a80375aaf051c1721cc","abstract_canon_sha256":"a5bd9c7df3d3caf144ee80978fad02b68b8045293b9c2e4fc898629ff202c9d8"},"schema_version":"1.0"},"canonical_sha256":"b514e5d6fd8d0de3948a61dd14cd6b82d7ef68c062862f11df66b8c0f8b9200e","source":{"kind":"arxiv","id":"2206.14404","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2206.14404","created_at":"2026-07-05T05:18:33Z"},{"alias_kind":"arxiv_version","alias_value":"2206.14404v1","created_at":"2026-07-05T05:18:33Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2206.14404","created_at":"2026-07-05T05:18:33Z"},{"alias_kind":"pith_short_12","alias_value":"WUKOLVX5RUG6","created_at":"2026-07-05T05:18:33Z"},{"alias_kind":"pith_short_16","alias_value":"WUKOLVX5RUG6HFEK","created_at":"2026-07-05T05:18:33Z"},{"alias_kind":"pith_short_8","alias_value":"WUKOLVX5","created_at":"2026-07-05T05:18:33Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2022:WUKOLVX5RUG6HFEKMHORJTLLQL","target":"record","payload":{"canonical_record":{"source":{"id":"2206.14404","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.comp-ph","submitted_at":"2022-06-29T05:12:41Z","cross_cats_sorted":[],"title_canon_sha256":"3f9fb2e4f68b68715a009fb99dbfc9e14f7d7ab54eef9a80375aaf051c1721cc","abstract_canon_sha256":"a5bd9c7df3d3caf144ee80978fad02b68b8045293b9c2e4fc898629ff202c9d8"},"schema_version":"1.0"},"canonical_sha256":"b514e5d6fd8d0de3948a61dd14cd6b82d7ef68c062862f11df66b8c0f8b9200e","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T05:18:33.806648Z","signature_b64":"8XVwTi7UhdjKWir8eev6iMmOR6sWqx0k6zCovrXxLtDTKM6jteK/6FMZJ/Kv8sUd4XpBzLy/Tpl/ctPtI4e3CA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b514e5d6fd8d0de3948a61dd14cd6b82d7ef68c062862f11df66b8c0f8b9200e","last_reissued_at":"2026-07-05T05:18:33.806130Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T05:18:33.806130Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2206.14404","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":"2026-07-05T05:18:33Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"X0x2GR1Cqh4yE3apMtC052zwu7JS2xkysuUnSIjukt3NDEj0jOJoLXEVuubV0r3KSqKlPyowXICyx6112B5oBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-07T13:00:52.131497Z"},"content_sha256":"e6f8bed00bcb3f48a5e3a5c1363b961ecbe1441d8d715d3dc19f62c44751a5b8","schema_version":"1.0","event_id":"sha256:e6f8bed00bcb3f48a5e3a5c1363b961ecbe1441d8d715d3dc19f62c44751a5b8"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2022:WUKOLVX5RUG6HFEKMHORJTLLQL","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A sweep-based low-rank method for the discrete ordinate transport equation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"physics.comp-ph","authors_text":"Ryan G. McClarren, Zhuogang Peng","submitted_at":"2022-06-29T05:12:41Z","abstract_excerpt":"The dynamical low-rank (DLR) approximation is an efficient technique to approximate the solution to matrix differential equations. Recently, the DLR method was applied to radiation transport calculations to reduce memory requirements and computational costs. This work extends the low-rank scheme for the time-dependent radiation transport equation in 2-D and 3-D Cartesian geometries with discrete ordinates discretization in angle (SN method). The reduced system that evolves on a low-rank manifold is constructed via an unconventional basis update and Galerkin integrator to avoid a substep that i"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2206.14404","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2206.14404/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":"2026-07-05T05:18:33Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ocL4ht56sRpTwI05kD/5g9To2+/h6oD0JnJtHIxeiUmb7pvUhYybiz+38TmQX2Ru9r6Nl+19svaB0liX6hnkDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-07T13:00:52.131993Z"},"content_sha256":"1e7d3f0cd05d85001f1d24e87067c35877e1afb4e4509185bd0647036b55128f","schema_version":"1.0","event_id":"sha256:1e7d3f0cd05d85001f1d24e87067c35877e1afb4e4509185bd0647036b55128f"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/WUKOLVX5RUG6HFEKMHORJTLLQL/bundle.json","state_url":"https://pith.science/pith/WUKOLVX5RUG6HFEKMHORJTLLQL/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/WUKOLVX5RUG6HFEKMHORJTLLQL/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":"2026-07-07T13:00:52Z","links":{"resolver":"https://pith.science/pith/WUKOLVX5RUG6HFEKMHORJTLLQL","bundle":"https://pith.science/pith/WUKOLVX5RUG6HFEKMHORJTLLQL/bundle.json","state":"https://pith.science/pith/WUKOLVX5RUG6HFEKMHORJTLLQL/state.json","well_known_bundle":"https://pith.science/.well-known/pith/WUKOLVX5RUG6HFEKMHORJTLLQL/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2022:WUKOLVX5RUG6HFEKMHORJTLLQL","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":"a5bd9c7df3d3caf144ee80978fad02b68b8045293b9c2e4fc898629ff202c9d8","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.comp-ph","submitted_at":"2022-06-29T05:12:41Z","title_canon_sha256":"3f9fb2e4f68b68715a009fb99dbfc9e14f7d7ab54eef9a80375aaf051c1721cc"},"schema_version":"1.0","source":{"id":"2206.14404","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2206.14404","created_at":"2026-07-05T05:18:33Z"},{"alias_kind":"arxiv_version","alias_value":"2206.14404v1","created_at":"2026-07-05T05:18:33Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2206.14404","created_at":"2026-07-05T05:18:33Z"},{"alias_kind":"pith_short_12","alias_value":"WUKOLVX5RUG6","created_at":"2026-07-05T05:18:33Z"},{"alias_kind":"pith_short_16","alias_value":"WUKOLVX5RUG6HFEK","created_at":"2026-07-05T05:18:33Z"},{"alias_kind":"pith_short_8","alias_value":"WUKOLVX5","created_at":"2026-07-05T05:18:33Z"}],"graph_snapshots":[{"event_id":"sha256:1e7d3f0cd05d85001f1d24e87067c35877e1afb4e4509185bd0647036b55128f","target":"graph","created_at":"2026-07-05T05:18:33Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2206.14404/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The dynamical low-rank (DLR) approximation is an efficient technique to approximate the solution to matrix differential equations. Recently, the DLR method was applied to radiation transport calculations to reduce memory requirements and computational costs. This work extends the low-rank scheme for the time-dependent radiation transport equation in 2-D and 3-D Cartesian geometries with discrete ordinates discretization in angle (SN method). The reduced system that evolves on a low-rank manifold is constructed via an unconventional basis update and Galerkin integrator to avoid a substep that i","authors_text":"Ryan G. McClarren, Zhuogang Peng","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.comp-ph","submitted_at":"2022-06-29T05:12:41Z","title":"A sweep-based low-rank method for the discrete ordinate transport equation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2206.14404","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:e6f8bed00bcb3f48a5e3a5c1363b961ecbe1441d8d715d3dc19f62c44751a5b8","target":"record","created_at":"2026-07-05T05:18:33Z","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":"a5bd9c7df3d3caf144ee80978fad02b68b8045293b9c2e4fc898629ff202c9d8","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.comp-ph","submitted_at":"2022-06-29T05:12:41Z","title_canon_sha256":"3f9fb2e4f68b68715a009fb99dbfc9e14f7d7ab54eef9a80375aaf051c1721cc"},"schema_version":"1.0","source":{"id":"2206.14404","kind":"arxiv","version":1}},"canonical_sha256":"b514e5d6fd8d0de3948a61dd14cd6b82d7ef68c062862f11df66b8c0f8b9200e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b514e5d6fd8d0de3948a61dd14cd6b82d7ef68c062862f11df66b8c0f8b9200e","first_computed_at":"2026-07-05T05:18:33.806130Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T05:18:33.806130Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"8XVwTi7UhdjKWir8eev6iMmOR6sWqx0k6zCovrXxLtDTKM6jteK/6FMZJ/Kv8sUd4XpBzLy/Tpl/ctPtI4e3CA==","signature_status":"signed_v1","signed_at":"2026-07-05T05:18:33.806648Z","signed_message":"canonical_sha256_bytes"},"source_id":"2206.14404","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e6f8bed00bcb3f48a5e3a5c1363b961ecbe1441d8d715d3dc19f62c44751a5b8","sha256:1e7d3f0cd05d85001f1d24e87067c35877e1afb4e4509185bd0647036b55128f"],"state_sha256":"3474a37169967cf18ec483323b4ba9530714b17e0f0c71fc2398c382ebacc96f"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"fh3rvjX71GKPH1N3efnFlXZCF2yE+r0NVEp9vcSti+TeXNb4kc6z1Uo0giHCD8vLcOn2gNKvAr8PK0EMAWM1DA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-07T13:00:52.134706Z","bundle_sha256":"2635c6910719c17a9eeb0ab0d646a5920a5519e22e2ca6a84f202227645d31b7"}}