Pith Number

pith:ALS4UDSD

pith:2002:ALS4UDSDNPMPWZNZ6BY64N4E2O

not attested not anchored not stored refs pending

Combining multigrid and wavelet ideas to construct more efficient multiscale algorithms for the solution of Poisson's equation

S. Goedecker

arxiv:physics/0209040 v2 · 2002-09-10 · physics.comp-ph

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ALS4UDSDNPMPWZNZ6BY64N4E2O}

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	2026-07-04T14:43:48.601204Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

02e5ca0e436bd8fb65b9f071ee3784d398bc29b7fbfbca91563a6fca1252f5cd

Aliases

arxiv: physics/0209040 · arxiv_version: physics/0209040v2 · doi: 10.48550/arxiv.physics/0209040 · pith_short_12: ALS4UDSDNPMP · pith_short_16: ALS4UDSDNPMPWZNZ · pith_short_8: ALS4UDSD

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/ALS4UDSDNPMPWZNZ6BY64N4E2O \
  | 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: 02e5ca0e436bd8fb65b9f071ee3784d398bc29b7fbfbca91563a6fca1252f5cd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e118c7a0dc30990b1675ea2512537156d367bf0cc2a8da879c9c6e3cc8d91754",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "physics.comp-ph",
    "submitted_at": "2002-09-10T15:22:25Z",
    "title_canon_sha256": "dfc2b4a674caf071caef6ecfd059d8eb4f1c7ee6ecd25823328301843fe7e899"
  },
  "schema_version": "1.0",
  "source": {
    "id": "physics/0209040",
    "kind": "arxiv",
    "version": 2
  }
}