Pith Number

pith:AILB7MGI

pith:2011:AILB7MGI2NZ4ZS3WS2LGLNVPIV

not attested not anchored not stored refs pending

The Isolation Time of Poisson Brownian Motions

Alexandre Stauffer, Perla Sousi, Yuval Peres

arxiv:1108.5723 v3 · 2011-08-29 · 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{AILB7MGI2NZ4ZS3WS2LGLNVPIV}

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	2026-05-18T04:00:02.700013Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

02161fb0c8d373cccb76969665b6af4568ff6fbc4c57b358c2f656d3113d8ecb

Aliases

arxiv: 1108.5723 · arxiv_version: 1108.5723v3 · doi: 10.48550/arxiv.1108.5723 · pith_short_12: AILB7MGI2NZ4 · pith_short_16: AILB7MGI2NZ4ZS3W · pith_short_8: AILB7MGI

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/AILB7MGI2NZ4ZS3WS2LGLNVPIV \
  | 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: 02161fb0c8d373cccb76969665b6af4568ff6fbc4c57b358c2f656d3113d8ecb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f62405942378829e6e303692a741108d984530b8e51f2090867c90e6fc6dcdbf",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-08-29T19:40:24Z",
    "title_canon_sha256": "5c5abef31d46ed4e2871b26167476767c15a642be5bef20ddfd448304615b026"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.5723",
    "kind": "arxiv",
    "version": 3
  }
}