{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2025:XUGDASQLOX6HLEG3C54IIZ5FK4","short_pith_number":"pith:XUGDASQL","canonical_record":{"source":{"id":"2508.13108","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DS","submitted_at":"2025-08-18T17:14:35Z","cross_cats_sorted":["quant-ph"],"title_canon_sha256":"aa0244f719cb1ff2d18c2517d8e397e23b1daac40f77fb89265c2e691a408abe","abstract_canon_sha256":"e4ad8d2067b71fdfebd6fbb56a083b27863dbb5a153583c6a0a3bc607621a257"},"schema_version":"1.0"},"canonical_sha256":"bd0c304a0b75fc7590db17788467a5572d32d820787d4757691efd1fafe97128","source":{"kind":"arxiv","id":"2508.13108","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2508.13108","created_at":"2026-07-05T11:55:32Z"},{"alias_kind":"arxiv_version","alias_value":"2508.13108v1","created_at":"2026-07-05T11:55:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2508.13108","created_at":"2026-07-05T11:55:32Z"},{"alias_kind":"pith_short_12","alias_value":"XUGDASQLOX6H","created_at":"2026-07-05T11:55:32Z"},{"alias_kind":"pith_short_16","alias_value":"XUGDASQLOX6HLEG3","created_at":"2026-07-05T11:55:32Z"},{"alias_kind":"pith_short_8","alias_value":"XUGDASQL","created_at":"2026-07-05T11:55:32Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2025:XUGDASQLOX6HLEG3C54IIZ5FK4","target":"record","payload":{"canonical_record":{"source":{"id":"2508.13108","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DS","submitted_at":"2025-08-18T17:14:35Z","cross_cats_sorted":["quant-ph"],"title_canon_sha256":"aa0244f719cb1ff2d18c2517d8e397e23b1daac40f77fb89265c2e691a408abe","abstract_canon_sha256":"e4ad8d2067b71fdfebd6fbb56a083b27863dbb5a153583c6a0a3bc607621a257"},"schema_version":"1.0"},"canonical_sha256":"bd0c304a0b75fc7590db17788467a5572d32d820787d4757691efd1fafe97128","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T11:55:32.564936Z","signature_b64":"4xbqf3z7MKKLq4j0fBYLoPOZ/srqI3CyhGUMc3G8Jp1q9ZCHCiHxVFfss6wLGnaxep9tDgzydN/3r5BfeynhCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"bd0c304a0b75fc7590db17788467a5572d32d820787d4757691efd1fafe97128","last_reissued_at":"2026-07-05T11:55:32.564376Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T11:55:32.564376Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2508.13108","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":"2026-07-05T11:55:32Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"0ELv/GTBhk+1pv36MqCUWn1sTNNzHxE1Q8GLH9U2dEkDU0o9U+OOSbFF0yV/WFm+vQtQrW2vYCxWnK2XTtVtAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-04T11:03:44.157998Z"},"content_sha256":"546e5eaa44acb2049c385621cb82a1af0503385c2c73f82f3fe27e188773251d","schema_version":"1.0","event_id":"sha256:546e5eaa44acb2049c385621cb82a1af0503385c2c73f82f3fe27e188773251d"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2025:XUGDASQLOX6HLEG3C54IIZ5FK4","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A simple analysis of a quantum-inspired algorithm for solving low-rank linear systems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["quant-ph"],"primary_cat":"cs.DS","authors_text":"Archan Ray, Dylan Herman, Junhyung Lyle Kim, Niraj Kumar, Shouvanik Chakrabarti, Tyler Chen","submitted_at":"2025-08-18T17:14:35Z","abstract_excerpt":"We describe and analyze a simple algorithm for sampling from the solution $\\mathbf{x}^* := \\mathbf{A}^+\\mathbf{b}$ to a linear system $\\mathbf{A}\\mathbf{x} = \\mathbf{b}$. We assume access to a sampler which allows us to draw indices proportional to the squared row/column-norms of $\\mathbf{A}$. Our algorithm produces a compressed representation of some vector $\\mathbf{x}$ for which $\\|\\mathbf{x}^* - \\mathbf{x}\\| < \\varepsilon \\|\\mathbf{x}^* \\|$ in $\\widetilde{O}(\\kappa_{\\mathsf{F}}^4 \\kappa^2 / \\varepsilon^2)$ time, where $\\kappa_{\\mathsf{F}} := \\|\\mathbf{A}\\|_{\\mathsf{F}}\\|\\mathbf{A}^{+}\\|$ an"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2508.13108","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/2508.13108/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":"2026-07-05T11:55:32Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"fSWb7lKALJo9/Ydxbt/8Kpxc4DUyzjZMLpH6JXuSp2IqEDSb7Wnipi/oTn37jLEN3lryuuqo/foCYjRenbrMBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-04T11:03:44.159167Z"},"content_sha256":"160f1dbfe4fafd3e62e04f260c2c5aa8975cb7fbb454b0260f7497b17f2e2e8d","schema_version":"1.0","event_id":"sha256:160f1dbfe4fafd3e62e04f260c2c5aa8975cb7fbb454b0260f7497b17f2e2e8d"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/XUGDASQLOX6HLEG3C54IIZ5FK4/bundle.json","state_url":"https://pith.science/pith/XUGDASQLOX6HLEG3C54IIZ5FK4/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/XUGDASQLOX6HLEG3C54IIZ5FK4/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":"2026-08-04T11:03:44Z","links":{"resolver":"https://pith.science/pith/XUGDASQLOX6HLEG3C54IIZ5FK4","bundle":"https://pith.science/pith/XUGDASQLOX6HLEG3C54IIZ5FK4/bundle.json","state":"https://pith.science/pith/XUGDASQLOX6HLEG3C54IIZ5FK4/state.json","well_known_bundle":"https://pith.science/.well-known/pith/XUGDASQLOX6HLEG3C54IIZ5FK4/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:XUGDASQLOX6HLEG3C54IIZ5FK4","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":"e4ad8d2067b71fdfebd6fbb56a083b27863dbb5a153583c6a0a3bc607621a257","cross_cats_sorted":["quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DS","submitted_at":"2025-08-18T17:14:35Z","title_canon_sha256":"aa0244f719cb1ff2d18c2517d8e397e23b1daac40f77fb89265c2e691a408abe"},"schema_version":"1.0","source":{"id":"2508.13108","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2508.13108","created_at":"2026-07-05T11:55:32Z"},{"alias_kind":"arxiv_version","alias_value":"2508.13108v1","created_at":"2026-07-05T11:55:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2508.13108","created_at":"2026-07-05T11:55:32Z"},{"alias_kind":"pith_short_12","alias_value":"XUGDASQLOX6H","created_at":"2026-07-05T11:55:32Z"},{"alias_kind":"pith_short_16","alias_value":"XUGDASQLOX6HLEG3","created_at":"2026-07-05T11:55:32Z"},{"alias_kind":"pith_short_8","alias_value":"XUGDASQL","created_at":"2026-07-05T11:55:32Z"}],"graph_snapshots":[{"event_id":"sha256:160f1dbfe4fafd3e62e04f260c2c5aa8975cb7fbb454b0260f7497b17f2e2e8d","target":"graph","created_at":"2026-07-05T11:55:32Z","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/2508.13108/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We describe and analyze a simple algorithm for sampling from the solution $\\mathbf{x}^* := \\mathbf{A}^+\\mathbf{b}$ to a linear system $\\mathbf{A}\\mathbf{x} = \\mathbf{b}$. We assume access to a sampler which allows us to draw indices proportional to the squared row/column-norms of $\\mathbf{A}$. Our algorithm produces a compressed representation of some vector $\\mathbf{x}$ for which $\\|\\mathbf{x}^* - \\mathbf{x}\\| < \\varepsilon \\|\\mathbf{x}^* \\|$ in $\\widetilde{O}(\\kappa_{\\mathsf{F}}^4 \\kappa^2 / \\varepsilon^2)$ time, where $\\kappa_{\\mathsf{F}} := \\|\\mathbf{A}\\|_{\\mathsf{F}}\\|\\mathbf{A}^{+}\\|$ an","authors_text":"Archan Ray, Dylan Herman, Junhyung Lyle Kim, Niraj Kumar, Shouvanik Chakrabarti, Tyler Chen","cross_cats":["quant-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DS","submitted_at":"2025-08-18T17:14:35Z","title":"A simple analysis of a quantum-inspired algorithm for solving low-rank linear systems"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2508.13108","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":"sha256:546e5eaa44acb2049c385621cb82a1af0503385c2c73f82f3fe27e188773251d","target":"record","created_at":"2026-07-05T11:55:32Z","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":"e4ad8d2067b71fdfebd6fbb56a083b27863dbb5a153583c6a0a3bc607621a257","cross_cats_sorted":["quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DS","submitted_at":"2025-08-18T17:14:35Z","title_canon_sha256":"aa0244f719cb1ff2d18c2517d8e397e23b1daac40f77fb89265c2e691a408abe"},"schema_version":"1.0","source":{"id":"2508.13108","kind":"arxiv","version":1}},"canonical_sha256":"bd0c304a0b75fc7590db17788467a5572d32d820787d4757691efd1fafe97128","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"bd0c304a0b75fc7590db17788467a5572d32d820787d4757691efd1fafe97128","first_computed_at":"2026-07-05T11:55:32.564376Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T11:55:32.564376Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"4xbqf3z7MKKLq4j0fBYLoPOZ/srqI3CyhGUMc3G8Jp1q9ZCHCiHxVFfss6wLGnaxep9tDgzydN/3r5BfeynhCQ==","signature_status":"signed_v1","signed_at":"2026-07-05T11:55:32.564936Z","signed_message":"canonical_sha256_bytes"},"source_id":"2508.13108","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:546e5eaa44acb2049c385621cb82a1af0503385c2c73f82f3fe27e188773251d","sha256:160f1dbfe4fafd3e62e04f260c2c5aa8975cb7fbb454b0260f7497b17f2e2e8d"],"state_sha256":"e7c5cc0384e1882019ad88aaf6fee9c35a85edc8d909d3f851c12dff063ec510"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Uh2AGaFoaTnptCgUR7K1SLEq9U6X+NsJ3JhFUkq0qwZA5zUnD7yYIYDanUNTivfSk2Gu1HKsG57vHDkK8hU0DQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-04T11:03:44.166073Z","bundle_sha256":"594d1b036af377f5ba8dd48b5d089f14b045d8d975563c3d54d8acc32be91a89"}}