Pith Number

pith:2JJ2TQUB

pith:2013:2JJ2TQUBSMFVKJBBNLFC7I26SS

not attested not anchored not stored refs pending

Stationary Markov Perfect Equilibria in Discounted Stochastic Games

Wei He, Yeneng Sun

arxiv:1311.1562 v3 · 2013-11-07 · math.OC · q-fin.GN

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2JJ2TQUBSMFVKJBBNLFC7I26SS}

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	2026-05-18T00:52:24.275580Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d253a9c281930b5524216aca2fa35e94bf5366437d29d292c7a092d396555cad

Aliases

arxiv: 1311.1562 · arxiv_version: 1311.1562v3 · doi: 10.48550/arxiv.1311.1562 · pith_short_12: 2JJ2TQUBSMFV · pith_short_16: 2JJ2TQUBSMFVKJBB · pith_short_8: 2JJ2TQUB

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/2JJ2TQUBSMFVKJBBNLFC7I26SS \
  | 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: d253a9c281930b5524216aca2fa35e94bf5366437d29d292c7a092d396555cad

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d657530cc73651de445ea4f49b28ff862a7ece90cb6ff47c68667daf0b09c09d",
    "cross_cats_sorted": [
      "q-fin.GN"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2013-11-07T02:39:50Z",
    "title_canon_sha256": "08990a1ce2fc207b76e22774a007f16d9fdd85aae167688c5036041683c052ee"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.1562",
    "kind": "arxiv",
    "version": 3
  }
}