Pith Number

pith:PUCGYK2M

pith:2006:PUCGYK2MMB4P2Q4NM6EMCJJ2QB

not attested not anchored not stored refs pending

Superprocesses with Coalescing Brownian Spatial Motion as Large-Scale Limits

Donald A. Dawson, Xiaowen Zhou, Zenghu Li

arxiv:math/0606621 v1 · 2006-06-24 · 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{PUCGYK2MMB4P2Q4NM6EMCJJ2QB}

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	2026-05-18T04:28:28.074141Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7d046c2b4c6078fd438d6788c1253a8043293d1aa1f03c88cf294a24f6df0601

Aliases

arxiv: math/0606621 · arxiv_version: math/0606621v1 · doi: 10.48550/arxiv.math/0606621 · pith_short_12: PUCGYK2MMB4P · pith_short_16: PUCGYK2MMB4P2Q4N · pith_short_8: PUCGYK2M

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/PUCGYK2MMB4P2Q4NM6EMCJJ2QB \
  | 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: 7d046c2b4c6078fd438d6788c1253a8043293d1aa1f03c88cf294a24f6df0601

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "80a7011cb7390615db9565b3f27364ef6e3fd7e1b4933b165fc8372925b8c967",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.PR",
    "submitted_at": "2006-06-24T12:30:11Z",
    "title_canon_sha256": "cf74fadb9e14e4e7eaebac20ee87ba2f769c4a69a2d8d49e12da01c6af34b431"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0606621",
    "kind": "arxiv",
    "version": 1
  }
}