Pith Number

pith:QSWABJUS

pith:2011:QSWABJUS5HB3AEF5BRGL46G6QR

not attested not anchored not stored refs pending

Field of values analysis of preconditioners for the Helmholtz equation in lossy media

Antti Hannukainen

arxiv:1106.0424 v1 · 2011-06-02 · 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{QSWABJUS5HB3AEF5BRGL46G6QR}

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	2026-05-18T04:20:50.409338Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

84ac00a692e9c3b010bd0c4cbe78de8454e373cd35d22aea2014f3f92114ec04

Aliases

arxiv: 1106.0424 · arxiv_version: 1106.0424v1 · doi: 10.48550/arxiv.1106.0424 · pith_short_12: QSWABJUS5HB3 · pith_short_16: QSWABJUS5HB3AEF5 · pith_short_8: QSWABJUS

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/QSWABJUS5HB3AEF5BRGL46G6QR \
  | 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: 84ac00a692e9c3b010bd0c4cbe78de8454e373cd35d22aea2014f3f92114ec04

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e4f9f3240b120f1276530cc07898485f3833a743e6a9c055e7a3848bedebc6c3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2011-06-02T13:11:02Z",
    "title_canon_sha256": "e40a5efe40d8c4a8ce429be7dfad763096f9a3b7226e26922fe59de194982358"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.0424",
    "kind": "arxiv",
    "version": 1
  }
}