Pith Number

pith:2MWFU5W7

pith:2014:2MWFU5W737XTYWJLCZIRFTVKM5

not attested not anchored not stored refs pending

The Complexity of Ergodic Mean-payoff Games

Krishnendu Chatterjee, Rasmus Ibsen-Jensen

arxiv:1404.5734 v1 · 2014-04-23 · 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{2MWFU5W737XTYWJLCZIRFTVKM5}

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	2026-05-18T02:53:28.061710Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d32c5a76dfdfef3c592b165112ceaa6765dfb786462f46b9d88c71b9b5028b3c

Aliases

arxiv: 1404.5734 · arxiv_version: 1404.5734v1 · doi: 10.48550/arxiv.1404.5734 · pith_short_12: 2MWFU5W737XT · pith_short_16: 2MWFU5W737XTYWJL · pith_short_8: 2MWFU5W7

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/2MWFU5W737XTYWJLCZIRFTVKM5 \
  | 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: d32c5a76dfdfef3c592b165112ceaa6765dfb786462f46b9d88c71b9b5028b3c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "844bb1473382577d08b427948ee8e8234a41eb4fac603d948aa7d975a266dde9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.GT",
    "submitted_at": "2014-04-23T08:12:19Z",
    "title_canon_sha256": "8ea65e847a3532c3748b135020fc07f1a9e18802753ff8a54d729f9edb89c011"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1404.5734",
    "kind": "arxiv",
    "version": 1
  }
}