Pith Number

pith:VMMXXVX3

pith:2011:VMMXXVX3W3TTSXIUJSWCIBPJRQ

not attested not anchored not stored refs pending

Analyzing the wave number dependency of the convergence rate of a multigrid preconditioned Krylov method for the Helmholtz equation with an absorbing layer

Bram Reps, Wim Vanroose

arxiv:1105.3047 v2 · 2011-05-16 · 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{VMMXXVX3W3TTSXIUJSWCIBPJRQ}

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	2026-05-18T04:00:26.766030Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ab197bd6fbb6e7395d144cac2405e98c0873897becfb6c554d20076b9008a1a9

Aliases

arxiv: 1105.3047 · arxiv_version: 1105.3047v2 · doi: 10.48550/arxiv.1105.3047 · pith_short_12: VMMXXVX3W3TT · pith_short_16: VMMXXVX3W3TTSXIU · pith_short_8: VMMXXVX3

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/VMMXXVX3W3TTSXIUJSWCIBPJRQ \
  | 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: ab197bd6fbb6e7395d144cac2405e98c0873897becfb6c554d20076b9008a1a9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "519f3ecb2ab1e6603c60cbc58e7d477b0d2c90dd255b058ffd0c659e473140c1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2011-05-16T09:50:30Z",
    "title_canon_sha256": "d899f54d0914b7ec4d87c9e2dfc9979d06142f7cf553129b38cfd5669744fe32"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.3047",
    "kind": "arxiv",
    "version": 2
  }
}