Pith Number

pith:MMCTDNSA

pith:2009:MMCTDNSAB4LYTHND6NCAR4JWBC

not attested not anchored not stored refs pending

Traveling waves and homogeneous fragmentation

A. E. Kyprianou, J. Berestycki, S. C. Harris

arxiv:0911.5179 v3 · 2009-11-27 · math.PR · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MMCTDNSAB4LYTHND6NCAR4JWBC}

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	2026-05-18T04:05:46.112134Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

630531b6400f17899da3f34408f1360888783c211d370d68bd9012a8ee02321a

Aliases

arxiv: 0911.5179 · arxiv_version: 0911.5179v3 · doi: 10.48550/arxiv.0911.5179 · pith_short_12: MMCTDNSAB4LY · pith_short_16: MMCTDNSAB4LYTHND · pith_short_8: MMCTDNSA

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/MMCTDNSAB4LYTHND6NCAR4JWBC \
  | 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: 630531b6400f17899da3f34408f1360888783c211d370d68bd9012a8ee02321a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5db238c6a5264b0308555ae4fb35c2e0bc4d2e149da438742d7f000463a684fc",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2009-11-27T00:33:28Z",
    "title_canon_sha256": "8cadfa730f8cd48066e7b18ca12322dd0dde07514d36cfc26fe902a27afaf830"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0911.5179",
    "kind": "arxiv",
    "version": 3
  }
}