Pith Number

pith:3XPZMTAJ

pith:2012:3XPZMTAJL26GAGXEZ6QRTTCEIX

not attested not anchored not stored refs pending

Randomized Extended Kaczmarz for Solving Least-Squares

Anastasios Zouzias, Nikolaos Freris

arxiv:1205.5770 v3 · 2012-05-25 · math.NA · cs.DS

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3XPZMTAJL26GAGXEZ6QRTTCEIX}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T00:10:14.446572Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dddf964c095ebc601ae4cfa119cc4445ce5010471116366820d609473570beb9

Aliases

arxiv: 1205.5770 · arxiv_version: 1205.5770v3 · doi: 10.48550/arxiv.1205.5770 · pith_short_12: 3XPZMTAJL26G · pith_short_16: 3XPZMTAJL26GAGXE · pith_short_8: 3XPZMTAJ

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/3XPZMTAJL26GAGXEZ6QRTTCEIX \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: dddf964c095ebc601ae4cfa119cc4445ce5010471116366820d609473570beb9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "10d8f5a04776d7b7d1fe111e9d558a38f3578c1ca1798599f3f5df48639051d5",
    "cross_cats_sorted": [
      "cs.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2012-05-25T18:26:42Z",
    "title_canon_sha256": "5ea802737a2e78bd241047b6605ad3c481e5c8e90153310703ef5bfb23a4ff11"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.5770",
    "kind": "arxiv",
    "version": 3
  }
}