Pith Number

pith:CZYEZ4MN

pith:2019:CZYEZ4MNJFBIPPCUG3L5G5HKLH

not attested not anchored not stored refs pending

A Versatile Stochastic Duel Game

Song-Kyoo Kim

arxiv:1904.09819 v5 · 2019-04-16 · math.OC · 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{CZYEZ4MNJFBIPPCUG3L5G5HKLH}

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	2026-07-05T01:25:21.481993Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

16704cf18d494287bc5436d7d374ea59e801fb3bfee652df46da3e9cb68c09ef

Aliases

arxiv: 1904.09819 · arxiv_version: 1904.09819v5 · doi: 10.48550/arxiv.1904.09819 · pith_short_12: CZYEZ4MNJFBI · pith_short_16: CZYEZ4MNJFBIPPCU · pith_short_8: CZYEZ4MN

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/CZYEZ4MNJFBIPPCUG3L5G5HKLH \
  | 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: 16704cf18d494287bc5436d7d374ea59e801fb3bfee652df46da3e9cb68c09ef

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "850088cb2d991e244afe03d7526c84c59413e9f1328f24ccddc511c0f65d682d",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2019-04-16T12:42:28Z",
    "title_canon_sha256": "da66495178ad7f85d855a5c360a6f30506f64e8fd1604aa4696baa61a395f38e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1904.09819",
    "kind": "arxiv",
    "version": 5
  }
}