Pith Number

pith:YBKPTF3R

pith:2012:YBKPTF3RDJGIG3GMTK4IVWHEAL

not attested not anchored not stored refs pending

A parallel sweeping preconditioner for heterogeneous 3D Helmholtz equations

Bj\"orn Engquist, Jack Poulson, Lexing Ying, Siwei Li

arxiv:1204.0111 v4 · 2012-03-31 · cs.NA · 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{YBKPTF3RDJGIG3GMTK4IVWHEAL}

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	2026-05-18T03:06:22.603894Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c054f997711a4c836ccc9ab88ad8e402d0954cba726ddb8a873967c8f5275de1

Aliases

arxiv: 1204.0111 · arxiv_version: 1204.0111v4 · doi: 10.48550/arxiv.1204.0111 · pith_short_12: YBKPTF3RDJGI · pith_short_16: YBKPTF3RDJGIG3GM · pith_short_8: YBKPTF3R

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/YBKPTF3RDJGIG3GMTK4IVWHEAL \
  | 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: c054f997711a4c836ccc9ab88ad8e402d0954cba726ddb8a873967c8f5275de1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3a2276058b928b47471806d2e48343b2cac06d1e113ef5bf4a70b99434a8a759",
    "cross_cats_sorted": [
      "math.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.NA",
    "submitted_at": "2012-03-31T16:00:50Z",
    "title_canon_sha256": "b8847eabfb122a65ad0688642e971ca79f721daa8df46f00b875f58c8136e0bb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.0111",
    "kind": "arxiv",
    "version": 4
  }
}