Pith Number

pith:T2PMY2FQ

pith:2009:T2PMY2FQ5PASLUKWETNRVE3WSX

not attested not anchored not stored refs pending

A finite difference approach to the infinity Laplace equation and tug-of-war games

Charles K. Smart, Scott N. Armstrong

arxiv:0906.2871 v4 · 2009-06-16 · math.AP · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{T2PMY2FQ5PASLUKWETNRVE3WSX}

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	2026-05-18T04:14:38.316274Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9e9ecc68b0ebc125d15624db1a937695db94881554a39dcce14196484c799bd4

Aliases

arxiv: 0906.2871 · arxiv_version: 0906.2871v4 · doi: 10.48550/arxiv.0906.2871 · pith_short_12: T2PMY2FQ5PAS · pith_short_16: T2PMY2FQ5PASLUKW · pith_short_8: T2PMY2FQ

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/T2PMY2FQ5PASLUKWETNRVE3WSX \
  | 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: 9e9ecc68b0ebc125d15624db1a937695db94881554a39dcce14196484c799bd4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1ab3839bf68713f426c43381dbeba6acf7a7e07e49459f1acf8eadfe3397d4a1",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2009-06-16T08:42:27Z",
    "title_canon_sha256": "4433cd358e35587b7b9886c1bd3ede100d0882e0f9a4eb3a953578a02bb7c2ba"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0906.2871",
    "kind": "arxiv",
    "version": 4
  }
}