Pith Number

pith:ZPT5ZQVB

pith:2014:ZPT5ZQVB6UFWEAS34LXGZQPS7P

not attested not anchored not stored refs pending

Random Multipliers Numerically Stabilize Gaussian and Block Gaussian Elimination: Proofs and an Extension to Low-rank Approximation

Guoliang Qian, Victor Y. Pan, Xiaodong Yan

arxiv:1406.5802 v2 · 2014-06-23 · math.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZPT5ZQVB6UFWEAS34LXGZQPS7P}

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	2026-05-18T02:31:03.860657Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cbe7dcc2a1f50b62025be2ee6cc1f2fbfb7b736084b899ffe2da616dd1b675e0

Aliases

arxiv: 1406.5802 · arxiv_version: 1406.5802v2 · doi: 10.48550/arxiv.1406.5802 · pith_short_12: ZPT5ZQVB6UFW · pith_short_16: ZPT5ZQVB6UFWEAS3 · pith_short_8: ZPT5ZQVB

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/ZPT5ZQVB6UFWEAS34LXGZQPS7P \
  | 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: cbe7dcc2a1f50b62025be2ee6cc1f2fbfb7b736084b899ffe2da616dd1b675e0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "28c310811bff637217dae41896395b29490f6f9495cfab237b8ed5ea58edc916",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2014-06-23T03:12:28Z",
    "title_canon_sha256": "aed608171624225d4b89c926973eceac9eb3027005e5e4ca72171eff508469a5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1406.5802",
    "kind": "arxiv",
    "version": 2
  }
}