Pith Number

pith:CGXMSSK3

pith:2014:CGXMSSK35X2ODY6VCXCOD4OBHL

not attested not anchored not stored refs pending

Stationary distribution for birth and death process with one-side bounded jumps

Hua-Ming Wang

arxiv:1407.4007 v1 · 2014-07-15 · 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{CGXMSSK35X2ODY6VCXCOD4OBHL}

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	2026-05-18T02:47:32.140635Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

11aec9495bedf4e1e3d515c4e1f1c13ae78d9ffeeeb196ab4952e26c219f42bb

Aliases

arxiv: 1407.4007 · arxiv_version: 1407.4007v1 · doi: 10.48550/arxiv.1407.4007 · pith_short_12: CGXMSSK35X2O · pith_short_16: CGXMSSK35X2ODY6V · pith_short_8: CGXMSSK3

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/CGXMSSK35X2ODY6VCXCOD4OBHL \
  | 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: 11aec9495bedf4e1e3d515c4e1f1c13ae78d9ffeeeb196ab4952e26c219f42bb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9a8ed53e8c3616b1419e72e68411dfb75c59e71a65548fdb2b9449c033e8c067",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2014-07-15T14:34:19Z",
    "title_canon_sha256": "17964e1601b41d8f112a6ee54b67c40c702bae1d8b0385d0de707a52e9a5548e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1407.4007",
    "kind": "arxiv",
    "version": 1
  }
}