Pith Number

pith:CL6X62EO

pith:2015:CL6X62EOXWZVSLP44CUYA7D6MI

not attested not anchored not stored refs pending

A Pseudo-Polynomial Algorithm for Mean Payoff Stochastic Games with Perfect Information and Few Random Positions

Endre Boros, Kazuhisa Makino, Khaled Elbassioni, Vladimir Gurvich

arxiv:1508.03431 v2 · 2015-08-14 · cs.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CL6X62EOXWZVSLP44CUYA7D6MI}

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	2026-05-18T00:48:01.445141Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

12fd7f688ebdb3592dfce0a9807c7e6200089c97bc6b051b498f551bb1f1c7aa

Aliases

arxiv: 1508.03431 · arxiv_version: 1508.03431v2 · doi: 10.48550/arxiv.1508.03431 · pith_short_12: CL6X62EOXWZV · pith_short_16: CL6X62EOXWZVSLP4 · pith_short_8: CL6X62EO

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/CL6X62EOXWZVSLP44CUYA7D6MI \
  | 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: 12fd7f688ebdb3592dfce0a9807c7e6200089c97bc6b051b498f551bb1f1c7aa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "871023e10ec1c3cd9112c94565ee9e4c430da148bdf65155fac77cd6fb574a0c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.GT",
    "submitted_at": "2015-08-14T07:43:51Z",
    "title_canon_sha256": "20b868845e4a606121083f8464387ddd19118c9294a7be841603a03abf28cfc0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.03431",
    "kind": "arxiv",
    "version": 2
  }
}