Pith Number

pith:VJ5ASHMH

pith:2009:VJ5ASHMHIXOTQ6KRGTHGFUGSWE

not attested not anchored not stored refs pending

A Fast Multigrid Algorithm for Energy Minimization Under Planar Density Constraints

Achi Brandt, Dorit Ron, Ilya Safro

arxiv:0902.3208 v1 · 2009-02-18 · cs.DS · cs.MS · cs.NA · 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{VJ5ASHMHIXOTQ6KRGTHGFUGSWE}

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	2026-06-03T23:06:11.140171Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aa7a091d8745dd38795134ce62d0d2b110ea062d2ce66de04094191ef3f79837

Aliases

arxiv: 0902.3208 · arxiv_version: 0902.3208v1 · doi: 10.48550/arxiv.0902.3208 · pith_short_12: VJ5ASHMHIXOT · pith_short_16: VJ5ASHMHIXOTQ6KR · pith_short_8: VJ5ASHMH

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/VJ5ASHMHIXOTQ6KRGTHGFUGSWE \
  | 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: aa7a091d8745dd38795134ce62d0d2b110ea062d2ce66de04094191ef3f79837

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3fd4c2397bce392229038e7ebc7a8a89bae03839aec82653a148757f8d396939",
    "cross_cats_sorted": [
      "cs.MS",
      "cs.NA",
      "math.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2009-02-18T17:59:47Z",
    "title_canon_sha256": "5d328f9f1f1eac199642a5bbb092b0ba29789c58e5e3bbf68ad3a40cf5e6a068"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0902.3208",
    "kind": "arxiv",
    "version": 1
  }
}