Pith Number

pith:AJ54CJKA

pith:2011:AJ54CJKATMIQNIMK7LJSB5LPDO

not attested not anchored not stored refs pending

An isoperimetric inequality for the Wiener sausage

Perla Sousi, Yuval Peres

arxiv:1103.6059 v1 · 2011-03-30 · math.PR · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AJ54CJKATMIQNIMK7LJSB5LPDO}

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	2026-05-18T04:25:25.281399Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

027bc125409b1106a18afad320f56f1b89842614e39354bc353043aa9b98f6b7

Aliases

arxiv: 1103.6059 · arxiv_version: 1103.6059v1 · doi: 10.48550/arxiv.1103.6059 · pith_short_12: AJ54CJKATMIQ · pith_short_16: AJ54CJKATMIQNIMK · pith_short_8: AJ54CJKA

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/AJ54CJKATMIQNIMK7LJSB5LPDO \
  | 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: 027bc125409b1106a18afad320f56f1b89842614e39354bc353043aa9b98f6b7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "40e387b320730cbdcf77559dc164e6075ed87fbb7058d6523c54430a6163ca16",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-03-30T22:46:33Z",
    "title_canon_sha256": "13cc4dea2fc828844dedb24766712c36f27d1f2f9f204311c31946193e0ad33c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.6059",
    "kind": "arxiv",
    "version": 1
  }
}