{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2026:Y2JTYCTIUHBLLFXXN5HBLXWLXO","short_pith_number":"pith:Y2JTYCTI","canonical_record":{"source":{"id":"2601.08082","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DC","submitted_at":"2026-01-12T23:46:20Z","cross_cats_sorted":["cs.ET","cs.MS","cs.PF"],"title_canon_sha256":"7b85e5feabaed034aaafa101a7c759b22745d9a6713120a5085e6bbf65fcf573","abstract_canon_sha256":"433292624f462636d8a337b5d24a2628dacc9204739a9126367537c8540c204e"},"schema_version":"1.0"},"canonical_sha256":"c6933c0a68a1c2b596f76f4e15decbbbbb1050ae36a5b0c50781a205f500651e","source":{"kind":"arxiv","id":"2601.08082","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2601.08082","created_at":"2026-06-02T01:03:40Z"},{"alias_kind":"arxiv_version","alias_value":"2601.08082v3","created_at":"2026-06-02T01:03:40Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2601.08082","created_at":"2026-06-02T01:03:40Z"},{"alias_kind":"pith_short_12","alias_value":"Y2JTYCTIUHBL","created_at":"2026-06-02T01:03:40Z"},{"alias_kind":"pith_short_16","alias_value":"Y2JTYCTIUHBLLFXX","created_at":"2026-06-02T01:03:40Z"},{"alias_kind":"pith_short_8","alias_value":"Y2JTYCTI","created_at":"2026-06-02T01:03:40Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2026:Y2JTYCTIUHBLLFXXN5HBLXWLXO","target":"record","payload":{"canonical_record":{"source":{"id":"2601.08082","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DC","submitted_at":"2026-01-12T23:46:20Z","cross_cats_sorted":["cs.ET","cs.MS","cs.PF"],"title_canon_sha256":"7b85e5feabaed034aaafa101a7c759b22745d9a6713120a5085e6bbf65fcf573","abstract_canon_sha256":"433292624f462636d8a337b5d24a2628dacc9204739a9126367537c8540c204e"},"schema_version":"1.0"},"canonical_sha256":"c6933c0a68a1c2b596f76f4e15decbbbbb1050ae36a5b0c50781a205f500651e","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-06-02T01:03:40.783219Z","signature_b64":"5DUbIOSpHuUjKwbmYXu/8hJIOF4vfFiWylZ2HDNkN5EFXkgUnzwhxQQGONkKpXF8/EXd5xpN++DiiIEaH7BICQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c6933c0a68a1c2b596f76f4e15decbbbbb1050ae36a5b0c50781a205f500651e","last_reissued_at":"2026-06-02T01:03:40.782685Z","signature_status":"signed_v1","first_computed_at":"2026-06-02T01:03:40.782685Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2601.08082","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-06-02T01:03:40Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"6gA1W37uh7BLo6oSmdIPN6mjNEGLjpGk5jSe7IZUWNMkgEsoe6QWSJ3kEygZSb4Q7deX22L3Kk09wajdgdOgDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-07T18:31:03.691052Z"},"content_sha256":"c1c67b55281ffb13ad8f385a0781dfa505f58260ffec52621e34f2c1257db114","schema_version":"1.0","event_id":"sha256:c1c67b55281ffb13ad8f385a0781dfa505f58260ffec52621e34f2c1257db114"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2026:Y2JTYCTIUHBLLFXXN5HBLXWLXO","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Hierarchical Recursive Precision for Accelerating Symmetric Linear Solves on MXUs","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.ET","cs.MS","cs.PF"],"primary_cat":"cs.DC","authors_text":"Alan Edelman, Evelyne Ringoot, Rabab Alomairy, Vicki Carrica","submitted_at":"2026-01-12T23:46:20Z","abstract_excerpt":"Symmetric positive-definite system solvers based on Cholesky factorization are fundamental to many scientific applications, such as climate modeling. We present a portable, nested recursive mixed-precision solver designed for Matrix Processing Units (MXUs), including NVIDIA Tensor Cores (H200) and AMD Matrix Cores (MI300X), that assigns low-precision FP16 arithmetic to large off-diagonal blocks, while preserving high precision on diagonal blocks to ensure numerical stability. The solver is implemented in Julia, providing a high-level, hardware-agnostic interface. We demonstrate up to a 5.07x s"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2601.08082","kind":"arxiv","version":3},"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/2601.08082/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":"2026-06-02T01:03:40Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"NLIauQrj1E5tWiL7p3ILQqBvqd2mpvVDsdyEm/IWhHxcaY5TyJFlj/6vZwHw2wqbr++g5H7MiSeK6dNYfGoADA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-07T18:31:03.691548Z"},"content_sha256":"f4e82e9642a02e29f91570429fa0aac66d53a769ce72822b9871ffaa93b4edab","schema_version":"1.0","event_id":"sha256:f4e82e9642a02e29f91570429fa0aac66d53a769ce72822b9871ffaa93b4edab"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/Y2JTYCTIUHBLLFXXN5HBLXWLXO/bundle.json","state_url":"https://pith.science/pith/Y2JTYCTIUHBLLFXXN5HBLXWLXO/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/Y2JTYCTIUHBLLFXXN5HBLXWLXO/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":"2026-08-07T18:31:03Z","links":{"resolver":"https://pith.science/pith/Y2JTYCTIUHBLLFXXN5HBLXWLXO","bundle":"https://pith.science/pith/Y2JTYCTIUHBLLFXXN5HBLXWLXO/bundle.json","state":"https://pith.science/pith/Y2JTYCTIUHBLLFXXN5HBLXWLXO/state.json","well_known_bundle":"https://pith.science/.well-known/pith/Y2JTYCTIUHBLLFXXN5HBLXWLXO/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:Y2JTYCTIUHBLLFXXN5HBLXWLXO","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":"433292624f462636d8a337b5d24a2628dacc9204739a9126367537c8540c204e","cross_cats_sorted":["cs.ET","cs.MS","cs.PF"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DC","submitted_at":"2026-01-12T23:46:20Z","title_canon_sha256":"7b85e5feabaed034aaafa101a7c759b22745d9a6713120a5085e6bbf65fcf573"},"schema_version":"1.0","source":{"id":"2601.08082","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2601.08082","created_at":"2026-06-02T01:03:40Z"},{"alias_kind":"arxiv_version","alias_value":"2601.08082v3","created_at":"2026-06-02T01:03:40Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2601.08082","created_at":"2026-06-02T01:03:40Z"},{"alias_kind":"pith_short_12","alias_value":"Y2JTYCTIUHBL","created_at":"2026-06-02T01:03:40Z"},{"alias_kind":"pith_short_16","alias_value":"Y2JTYCTIUHBLLFXX","created_at":"2026-06-02T01:03:40Z"},{"alias_kind":"pith_short_8","alias_value":"Y2JTYCTI","created_at":"2026-06-02T01:03:40Z"}],"graph_snapshots":[{"event_id":"sha256:f4e82e9642a02e29f91570429fa0aac66d53a769ce72822b9871ffaa93b4edab","target":"graph","created_at":"2026-06-02T01:03:40Z","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/2601.08082/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Symmetric positive-definite system solvers based on Cholesky factorization are fundamental to many scientific applications, such as climate modeling. We present a portable, nested recursive mixed-precision solver designed for Matrix Processing Units (MXUs), including NVIDIA Tensor Cores (H200) and AMD Matrix Cores (MI300X), that assigns low-precision FP16 arithmetic to large off-diagonal blocks, while preserving high precision on diagonal blocks to ensure numerical stability. The solver is implemented in Julia, providing a high-level, hardware-agnostic interface. We demonstrate up to a 5.07x s","authors_text":"Alan Edelman, Evelyne Ringoot, Rabab Alomairy, Vicki Carrica","cross_cats":["cs.ET","cs.MS","cs.PF"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DC","submitted_at":"2026-01-12T23:46:20Z","title":"Hierarchical Recursive Precision for Accelerating Symmetric Linear Solves on MXUs"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2601.08082","kind":"arxiv","version":3},"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:c1c67b55281ffb13ad8f385a0781dfa505f58260ffec52621e34f2c1257db114","target":"record","created_at":"2026-06-02T01:03:40Z","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":"433292624f462636d8a337b5d24a2628dacc9204739a9126367537c8540c204e","cross_cats_sorted":["cs.ET","cs.MS","cs.PF"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DC","submitted_at":"2026-01-12T23:46:20Z","title_canon_sha256":"7b85e5feabaed034aaafa101a7c759b22745d9a6713120a5085e6bbf65fcf573"},"schema_version":"1.0","source":{"id":"2601.08082","kind":"arxiv","version":3}},"canonical_sha256":"c6933c0a68a1c2b596f76f4e15decbbbbb1050ae36a5b0c50781a205f500651e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c6933c0a68a1c2b596f76f4e15decbbbbb1050ae36a5b0c50781a205f500651e","first_computed_at":"2026-06-02T01:03:40.782685Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-06-02T01:03:40.782685Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"5DUbIOSpHuUjKwbmYXu/8hJIOF4vfFiWylZ2HDNkN5EFXkgUnzwhxQQGONkKpXF8/EXd5xpN++DiiIEaH7BICQ==","signature_status":"signed_v1","signed_at":"2026-06-02T01:03:40.783219Z","signed_message":"canonical_sha256_bytes"},"source_id":"2601.08082","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c1c67b55281ffb13ad8f385a0781dfa505f58260ffec52621e34f2c1257db114","sha256:f4e82e9642a02e29f91570429fa0aac66d53a769ce72822b9871ffaa93b4edab"],"state_sha256":"4779840fe9a4b5c0c3b6e74642392e42bb6fdb0afa8bd387a6f5393702335586"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"g0UHlaPe3DwQIs16PvfvLhOTyxZPRX0UpIV3G97Rb5FQw9A8QPG3FuJyv+FZ1sge32Wg8lA+nm6KS68K9LmQDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-07T18:31:03.695885Z","bundle_sha256":"6c1c5b011c1805e805f9f99eec716449d447a6480d1b10e851e95d4ef2623fd5"}}