Pith Number

pith:UTUF7YOU

pith:2011:UTUF7YOUCC3XL7YF4NJVDO3PRX

not attested not anchored not stored refs pending

Tug-of-war and infinity Laplace equation with vanishing Neumann boundary condition

Scott Sheffield, Stephanie Somersille, Ton\'ci Antunovi\'c, Yuval Peres

arxiv:1109.4918 v1 · 2011-09-22 · 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{UTUF7YOUCC3XL7YF4NJVDO3PRX}

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	2026-05-18T04:12:32.665630Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a4e85fe1d410b775ff05e35351bb6f8dfe05695e6284a9231c4bf2861d20448c

Aliases

arxiv: 1109.4918 · arxiv_version: 1109.4918v1 · doi: 10.48550/arxiv.1109.4918 · pith_short_12: UTUF7YOUCC3X · pith_short_16: UTUF7YOUCC3XL7YF · pith_short_8: UTUF7YOU

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/UTUF7YOUCC3XL7YF4NJVDO3PRX \
  | 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: a4e85fe1d410b775ff05e35351bb6f8dfe05695e6284a9231c4bf2861d20448c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "830a87e202a04659d386a009d508ff6dcfab6116b6b716b23b57aa1c7486e46f",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-09-22T19:02:09Z",
    "title_canon_sha256": "170406a31593c164d42a562e8e487008c2e84da1601c62d42b6f9464e75f8d4c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.4918",
    "kind": "arxiv",
    "version": 1
  }
}