Pith Number

pith:QOAFCRJE

pith:2016:QOAFCRJEDP2TUU3253AEIR4W22

not attested not anchored not stored refs pending

LIRK-W: Linearly-implicit Runge-Kutta methods with approximate matrix factorization

Adrian Sandu, Hong Zhang, Paul Tranquilli

arxiv:1611.07013 v1 · 2016-11-21 · 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{QOAFCRJEDP2TUU3253AEIR4W22}

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	2026-05-18T00:57:32.353819Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

83805145241bf53a537aeec0444796d6876cec2bef7332a2d7bd62d2fdee7188

Aliases

arxiv: 1611.07013 · arxiv_version: 1611.07013v1 · doi: 10.48550/arxiv.1611.07013 · pith_short_12: QOAFCRJEDP2T · pith_short_16: QOAFCRJEDP2TUU32 · pith_short_8: QOAFCRJE

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/QOAFCRJEDP2TUU3253AEIR4W22 \
  | 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: 83805145241bf53a537aeec0444796d6876cec2bef7332a2d7bd62d2fdee7188

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "74d692fa6f4ce01433960eb6fb017a6f9ef875fd763c22f00e0c75bc0d0a523d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2016-11-21T20:59:58Z",
    "title_canon_sha256": "1ad70f2bd2e46c64a3386eb4ae01b7adda1bc20f8eeee69b30efac511b30de5a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.07013",
    "kind": "arxiv",
    "version": 1
  }
}