Pith Number

pith:XHGXAC4A

pith:2010:XHGXAC4ARIUEAME56XBVPYGFE3

not attested not anchored not stored refs pending

Stability on {0,1,2,...}^S: birth-death chains and particle systems

Alexander Vandenberg-Rodes, Thomas M. Liggett

arxiv:1009.4899 v2 · 2010-09-24 · 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{XHGXAC4ARIUEAME56XBVPYGFE3}

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	2026-05-18T04:23:33.175155Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b9cd700b808a2840309df5c357e0c526c643b4805adf21143785afd64e8322ae

Aliases

arxiv: 1009.4899 · arxiv_version: 1009.4899v2 · doi: 10.48550/arxiv.1009.4899 · pith_short_12: XHGXAC4ARIUE · pith_short_16: XHGXAC4ARIUEAME5 · pith_short_8: XHGXAC4A

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/XHGXAC4ARIUEAME56XBVPYGFE3 \
  | 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: b9cd700b808a2840309df5c357e0c526c643b4805adf21143785afd64e8322ae

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "feb46d403114d2c267f8144a5472cec703bcbc1bb552b439c03a961b252c2778",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2010-09-24T17:39:19Z",
    "title_canon_sha256": "d6c36bc1c4fea25e417b64cb3524a8ab73e285b97cb32348b3b4259ef3ef4d87"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.4899",
    "kind": "arxiv",
    "version": 2
  }
}