Pith Number

pith:M3P4K4MT

pith:2010:M3P4K4MTI6SCDSWBL3GYLABL5H

not attested not anchored not stored refs pending

On the generalization of wavelet diagonal preconditioning to the Helmholtz equation

Christiaan C. Stolk

arxiv:1010.4764 v1 · 2010-10-22 · 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{M3P4K4MTI6SCDSWBL3GYLABL5H}

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	2026-05-18T04:38:57.436084Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

66dfc5719347a421cac15ecd85802be9fe5bcb78fb5f6ab70969afb8356e053e

Aliases

arxiv: 1010.4764 · arxiv_version: 1010.4764v1 · doi: 10.48550/arxiv.1010.4764 · pith_short_12: M3P4K4MTI6SC · pith_short_16: M3P4K4MTI6SCDSWB · pith_short_8: M3P4K4MT

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/M3P4K4MTI6SCDSWBL3GYLABL5H \
  | 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: 66dfc5719347a421cac15ecd85802be9fe5bcb78fb5f6ab70969afb8356e053e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d37756a78e7df1ad6bcb0f503fcf7ed9fe614ee25992f1fe886c99f0c18cf865",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2010-10-22T17:25:59Z",
    "title_canon_sha256": "eb66a1953f65d262e4ee72cc97650a0998a4335ce6fadcd297046dbaed9a05f0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.4764",
    "kind": "arxiv",
    "version": 1
  }
}