Pith Number

pith:4XCRIEMI

pith:2014:4XCRIEMIBIPA3CXL4OFRNTCQZR

not attested not anchored not stored refs pending

Application of approximate matrix factorization to high order linearly implicit Runge-Kutta methods

Adrian Sandu, Hong Zhang, Paul Tranquilli

arxiv:1408.3622 v2 · 2014-08-15 · cs.NA · cs.CE · 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{4XCRIEMIBIPA3CXL4OFRNTCQZR}

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	2026-05-18T02:45:03.680343Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e5c51411880a1e0d8aebe38b16cc50cc43b4d08f59725f4a8bda096de2af643f

Aliases

arxiv: 1408.3622 · arxiv_version: 1408.3622v2 · doi: 10.48550/arxiv.1408.3622 · pith_short_12: 4XCRIEMIBIPA · pith_short_16: 4XCRIEMIBIPA3CXL · pith_short_8: 4XCRIEMI

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/4XCRIEMIBIPA3CXL4OFRNTCQZR \
  | 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: e5c51411880a1e0d8aebe38b16cc50cc43b4d08f59725f4a8bda096de2af643f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e7725aa789374803b18195ab1928414aabc686ae5607d6595a6cfc363d3a9fb6",
    "cross_cats_sorted": [
      "cs.CE",
      "math.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.NA",
    "submitted_at": "2014-08-15T19:57:39Z",
    "title_canon_sha256": "ac5ce1ee76da38093f2054ae4269e46d84d588df85f7dbad484518bf0f254235"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1408.3622",
    "kind": "arxiv",
    "version": 2
  }
}