Pith Number

pith:CDPDLJE3

pith:2010:CDPDLJE3GOLYCDRUC5UMEASSIU

not attested not anchored not stored refs pending

GMRES-based multigrid for the complex scaled preconditoner for the indefinite Helmholtz equation

Bram Reps, Hisham bin Zubair, Wim Vanroose

arxiv:1012.5379 v2 · 2010-12-24 · cs.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{CDPDLJE3GOLYCDRUC5UMEASSIU}

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	2026-05-18T02:23:06.411897Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

10de35a49b3397810e341768c20252453fad74042dd8fb8b430184c61775819b

Aliases

arxiv: 1012.5379 · arxiv_version: 1012.5379v2 · doi: 10.48550/arxiv.1012.5379 · pith_short_12: CDPDLJE3GOLY · pith_short_16: CDPDLJE3GOLYCDRU · pith_short_8: CDPDLJE3

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/CDPDLJE3GOLYCDRUC5UMEASSIU \
  | 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: 10de35a49b3397810e341768c20252453fad74042dd8fb8b430184c61775819b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5e26064a1e75540c8e781a545cb7baa591e01b181b9ff0a1fc7adabd03b902a5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.NA",
    "submitted_at": "2010-12-24T10:13:47Z",
    "title_canon_sha256": "2c3f5d7f588dd914fed8c8645fce0539feb8f9f641ec1686aaf414441ea4cb76"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.5379",
    "kind": "arxiv",
    "version": 2
  }
}