Pith Number

pith:JRLPXI6M

pith:2019:JRLPXI6MKDBL2P3MA3GCLB6Q32

not attested not anchored not stored refs pending

A tutorial on Zero-sum Stochastic Games

J\'er\^ome Renault (TSE)

arxiv:1905.06577 v1 · 2019-05-16 · 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{JRLPXI6MKDBL2P3MA3GCLB6Q32}

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	2026-05-17T23:46:01.831002Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4c56fba3cc50c2bd3f6c06cc2587d0deaa054dc5ad2ec4e125925946c71c2462

Aliases

arxiv: 1905.06577 · arxiv_version: 1905.06577v1 · doi: 10.48550/arxiv.1905.06577 · pith_short_12: JRLPXI6MKDBL · pith_short_16: JRLPXI6MKDBL2P3M · pith_short_8: JRLPXI6M

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/JRLPXI6MKDBL2P3MA3GCLB6Q32 \
  | 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: 4c56fba3cc50c2bd3f6c06cc2587d0deaa054dc5ad2ec4e125925946c71c2462

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e77853c76703293f08fb251afa35d5e66d16bef805ef5bddfdedc20c0844b657",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2019-05-16T07:43:47Z",
    "title_canon_sha256": "75db96d41c52d6a1c86457cf123b18eecd7ac8f46af5b2c2af29b6b3de2c3a7a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1905.06577",
    "kind": "arxiv",
    "version": 1
  }
}