Pith Number

pith:NDIUNLW2

pith:2006:NDIUNLW2HFPWKP7VATMGMKCPSC

not attested not anchored not stored refs pending

Gravitational allocation to Poisson points

Dan Romik, Ron Peled, Sourav Chatterjee, Yuval Peres

arxiv:math/0611886 v2 · 2006-11-28 · 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{NDIUNLW2HFPWKP7VATMGMKCPSC}

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	2026-05-18T00:48:48.274187Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

68d146aeda395f653ff504d866284f90a6f263c9b9a6072ebd2c5cdf8d04c09c

Aliases

arxiv: math/0611886 · arxiv_version: math/0611886v2 · doi: 10.48550/arxiv.math/0611886 · pith_short_12: NDIUNLW2HFPW · pith_short_16: NDIUNLW2HFPWKP7V · pith_short_8: NDIUNLW2

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/NDIUNLW2HFPWKP7VATMGMKCPSC \
  | 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: 68d146aeda395f653ff504d866284f90a6f263c9b9a6072ebd2c5cdf8d04c09c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9040cb5462f5526eae58c0bed92d9b8fed8133d09a8eb5fbfb8ee77d0cc11cfa",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.PR",
    "submitted_at": "2006-11-28T23:37:51Z",
    "title_canon_sha256": "f1f3faaa04b016c36b99b3243d0d800d55e9e6ec2cc3e912dca8b61661024873"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0611886",
    "kind": "arxiv",
    "version": 2
  }
}