Pith Number

pith:ZEMOSQ3D

pith:2015:ZEMOSQ3DRSYAVSLL2NYBBF4G2E

not attested not anchored not stored refs pending

Stochastic Dual Ascent for Solving Linear Systems

Peter Richtarik, Robert Mansel Gower

arxiv:1512.06890 v2 · 2015-12-21 · math.NA · cs.NA · math.OC · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZEMOSQ3DRSYAVSLL2NYBBF4G2E}

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	2026-05-18T01:21:44.317313Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c918e943638cb00ac96bd370109786d12c54daa9db9b0ef28f5328f319506c8f

Aliases

arxiv: 1512.06890 · arxiv_version: 1512.06890v2 · doi: 10.48550/arxiv.1512.06890 · pith_short_12: ZEMOSQ3DRSYA · pith_short_16: ZEMOSQ3DRSYAVSLL · pith_short_8: ZEMOSQ3D

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/ZEMOSQ3DRSYAVSLL2NYBBF4G2E \
  | 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: c918e943638cb00ac96bd370109786d12c54daa9db9b0ef28f5328f319506c8f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5dd7c3820a852bf0c40c0f5ee6166e8fe0cc0a480c5232bdb8885c59f17b65bd",
    "cross_cats_sorted": [
      "cs.NA",
      "math.OC",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2015-12-21T22:09:30Z",
    "title_canon_sha256": "fc5622225fc07e00ee24b17135ae4d7edc7bbd27b46c0f6786941dbf5c23bbcf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.06890",
    "kind": "arxiv",
    "version": 2
  }
}