{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:AX6H5CLASWF5WAUWYSGNHA324I","short_pith_number":"pith:AX6H5CLA","canonical_record":{"source":{"id":"1407.5593","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.NA","submitted_at":"2014-07-21T18:38:38Z","cross_cats_sorted":["math.NA"],"title_canon_sha256":"b071f403bfe6a8473449b41d6b34a54033afbce1dd3d6d20d27007979ef39617","abstract_canon_sha256":"eae77947ecc5335f2c2c3550f05379c174155c89b8fc46a72d8c9029b434ab0e"},"schema_version":"1.0"},"canonical_sha256":"05fc7e8960958bdb0296c48cd3837ae232a68db00956796a5989ff011969099a","source":{"kind":"arxiv","id":"1407.5593","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1407.5593","created_at":"2026-05-18T02:47:13Z"},{"alias_kind":"arxiv_version","alias_value":"1407.5593v1","created_at":"2026-05-18T02:47:13Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1407.5593","created_at":"2026-05-18T02:47:13Z"},{"alias_kind":"pith_short_12","alias_value":"AX6H5CLASWF5","created_at":"2026-05-18T12:28:19Z"},{"alias_kind":"pith_short_16","alias_value":"AX6H5CLASWF5WAUW","created_at":"2026-05-18T12:28:19Z"},{"alias_kind":"pith_short_8","alias_value":"AX6H5CLA","created_at":"2026-05-18T12:28:19Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:AX6H5CLASWF5WAUWYSGNHA324I","target":"record","payload":{"canonical_record":{"source":{"id":"1407.5593","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.NA","submitted_at":"2014-07-21T18:38:38Z","cross_cats_sorted":["math.NA"],"title_canon_sha256":"b071f403bfe6a8473449b41d6b34a54033afbce1dd3d6d20d27007979ef39617","abstract_canon_sha256":"eae77947ecc5335f2c2c3550f05379c174155c89b8fc46a72d8c9029b434ab0e"},"schema_version":"1.0"},"canonical_sha256":"05fc7e8960958bdb0296c48cd3837ae232a68db00956796a5989ff011969099a","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:47:13.619611Z","signature_b64":"C3lfFR/MjdObv4BhPPUoanMkOXd9RUBdozbwmbdGAyZgAkotU+2+qd4U7zWTFwPKxgI3QiXXP+YmLCu+mXc4AQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"05fc7e8960958bdb0296c48cd3837ae232a68db00956796a5989ff011969099a","last_reissued_at":"2026-05-18T02:47:13.619098Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:47:13.619098Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1407.5593","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":"2026-05-18T02:47:13Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"VA4QXbQjcozsFrr+2ap66Zclu+RvYxp4CcCaBIYwq5r3R2waSPzC6a+lTh+gfngPwVA4gvEzD6U1KiLFAd93CQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-11T13:35:24.631148Z"},"content_sha256":"cfb881f4de4bf102ec2e64fe2f041116be5f34269db37aaa6c81dd46a3cf8de5","schema_version":"1.0","event_id":"sha256:cfb881f4de4bf102ec2e64fe2f041116be5f34269db37aaa6c81dd46a3cf8de5"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:AX6H5CLASWF5WAUWYSGNHA324I","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Deterministic Versus Randomized Kaczmarz Iterative Projection","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.NA"],"primary_cat":"cs.NA","authors_text":"Ali Sekmen, Tim Wallace","submitted_at":"2014-07-21T18:38:38Z","abstract_excerpt":"Kaczmarz's alternating projection method has been widely used for solving a consistent (mostly over-determined) linear system of equations Ax=b. Because of its simple iterative nature with light computation, this method was successfully applied in computerized tomography. Since tomography generates a matrix A with highly coherent rows, randomized Kaczmarz algorithm is expected to provide faster convergence as it picks a row for each iteration at random, based on a certain probability distribution. It was recently shown that picking a row at random, proportional with its norm, makes the iterati"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1407.5593","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":""},"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":"2026-05-18T02:47:13Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"mUTSrhdaOAERG0wXibQP8Y+RMyxwlG2adKY+yB6UGQi15SPAAJJr9Ecyu3eQMD1b07vSosQmQtsqeEYeXaJyDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-11T13:35:24.631528Z"},"content_sha256":"cd496ebaf11537c96a6cb7efcf7c5af8a1ac360efee3c69be893fedc87feafb3","schema_version":"1.0","event_id":"sha256:cd496ebaf11537c96a6cb7efcf7c5af8a1ac360efee3c69be893fedc87feafb3"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/AX6H5CLASWF5WAUWYSGNHA324I/bundle.json","state_url":"https://pith.science/pith/AX6H5CLASWF5WAUWYSGNHA324I/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/AX6H5CLASWF5WAUWYSGNHA324I/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":"2026-06-11T13:35:24Z","links":{"resolver":"https://pith.science/pith/AX6H5CLASWF5WAUWYSGNHA324I","bundle":"https://pith.science/pith/AX6H5CLASWF5WAUWYSGNHA324I/bundle.json","state":"https://pith.science/pith/AX6H5CLASWF5WAUWYSGNHA324I/state.json","well_known_bundle":"https://pith.science/.well-known/pith/AX6H5CLASWF5WAUWYSGNHA324I/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:AX6H5CLASWF5WAUWYSGNHA324I","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":"eae77947ecc5335f2c2c3550f05379c174155c89b8fc46a72d8c9029b434ab0e","cross_cats_sorted":["math.NA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.NA","submitted_at":"2014-07-21T18:38:38Z","title_canon_sha256":"b071f403bfe6a8473449b41d6b34a54033afbce1dd3d6d20d27007979ef39617"},"schema_version":"1.0","source":{"id":"1407.5593","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1407.5593","created_at":"2026-05-18T02:47:13Z"},{"alias_kind":"arxiv_version","alias_value":"1407.5593v1","created_at":"2026-05-18T02:47:13Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1407.5593","created_at":"2026-05-18T02:47:13Z"},{"alias_kind":"pith_short_12","alias_value":"AX6H5CLASWF5","created_at":"2026-05-18T12:28:19Z"},{"alias_kind":"pith_short_16","alias_value":"AX6H5CLASWF5WAUW","created_at":"2026-05-18T12:28:19Z"},{"alias_kind":"pith_short_8","alias_value":"AX6H5CLA","created_at":"2026-05-18T12:28:19Z"}],"graph_snapshots":[{"event_id":"sha256:cd496ebaf11537c96a6cb7efcf7c5af8a1ac360efee3c69be893fedc87feafb3","target":"graph","created_at":"2026-05-18T02:47:13Z","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":"Kaczmarz's alternating projection method has been widely used for solving a consistent (mostly over-determined) linear system of equations Ax=b. Because of its simple iterative nature with light computation, this method was successfully applied in computerized tomography. Since tomography generates a matrix A with highly coherent rows, randomized Kaczmarz algorithm is expected to provide faster convergence as it picks a row for each iteration at random, based on a certain probability distribution. It was recently shown that picking a row at random, proportional with its norm, makes the iterati","authors_text":"Ali Sekmen, Tim Wallace","cross_cats":["math.NA"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.NA","submitted_at":"2014-07-21T18:38:38Z","title":"Deterministic Versus Randomized Kaczmarz Iterative Projection"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1407.5593","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:cfb881f4de4bf102ec2e64fe2f041116be5f34269db37aaa6c81dd46a3cf8de5","target":"record","created_at":"2026-05-18T02:47:13Z","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":"eae77947ecc5335f2c2c3550f05379c174155c89b8fc46a72d8c9029b434ab0e","cross_cats_sorted":["math.NA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.NA","submitted_at":"2014-07-21T18:38:38Z","title_canon_sha256":"b071f403bfe6a8473449b41d6b34a54033afbce1dd3d6d20d27007979ef39617"},"schema_version":"1.0","source":{"id":"1407.5593","kind":"arxiv","version":1}},"canonical_sha256":"05fc7e8960958bdb0296c48cd3837ae232a68db00956796a5989ff011969099a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"05fc7e8960958bdb0296c48cd3837ae232a68db00956796a5989ff011969099a","first_computed_at":"2026-05-18T02:47:13.619098Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:47:13.619098Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"C3lfFR/MjdObv4BhPPUoanMkOXd9RUBdozbwmbdGAyZgAkotU+2+qd4U7zWTFwPKxgI3QiXXP+YmLCu+mXc4AQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:47:13.619611Z","signed_message":"canonical_sha256_bytes"},"source_id":"1407.5593","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:cfb881f4de4bf102ec2e64fe2f041116be5f34269db37aaa6c81dd46a3cf8de5","sha256:cd496ebaf11537c96a6cb7efcf7c5af8a1ac360efee3c69be893fedc87feafb3"],"state_sha256":"dd7419951fdf3dcab3d4f81ecda7d456cd09dac20d4ada4cd87ca9b99d5a3e9b"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"IOTwf377eFM5ENlf+PfREOQRHi93zKneROV3UCvxQHJNr1+8WRqC0YEcaFktPa8yARAkugYSO6YKQSFHn7AxCA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-11T13:35:24.633550Z","bundle_sha256":"3e322644bed1d0fb3a9ddd61794676a54326601c95fcc2f54ef00e28a0ef76ab"}}