Pith Number

pith:KWOYLDEH

pith:2012:KWOYLDEHIMQJZ7AV6ZZQE4BECZ

not attested not anchored not stored refs pending

The turnpike theorems for Markov games

Vassili Kolokoltsov, Wei Yang

arxiv:1203.6553 v1 · 2012-03-29 · 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{KWOYLDEHIMQJZ7AV6ZZQE4BECZ}

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	2026-05-18T03:20:45.496711Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

559d858c8743209cfc15f673027024165340ed5b93479f6954d20e99f630ed21

Aliases

arxiv: 1203.6553 · arxiv_version: 1203.6553v1 · doi: 10.48550/arxiv.1203.6553 · pith_short_12: KWOYLDEHIMQJ · pith_short_16: KWOYLDEHIMQJZ7AV · pith_short_8: KWOYLDEH

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/KWOYLDEHIMQJZ7AV6ZZQE4BECZ \
  | 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: 559d858c8743209cfc15f673027024165340ed5b93479f6954d20e99f630ed21

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f831df994e535ce0d6650a9769d9fcd190018d7d7f938f80d7d417c0173df92b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-03-29T15:08:53Z",
    "title_canon_sha256": "ca7d9be7c9a29d95d63717b5ead3515716c7ae0e1de1a147edfa26854b29a1cb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.6553",
    "kind": "arxiv",
    "version": 1
  }
}