Pith Number

pith:45M27OQX

pith:2022:45M27OQXZNTWK5CVKTDXUYH45A

not attested not anchored not stored refs pending

The Complexity of Infinite-Horizon General-Sum Stochastic Games

Aaron Sidford, Vidya Muthukumar, Yujia Jin

arxiv:2204.04186 v2 · 2022-04-08 · cs.GT · cs.CC · cs.DS · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{45M27OQXZNTWK5CVKTDXUYH45A}

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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.

Cited by

1 paper in Pith

Solving Zero-Sum Convex Markov Games

Receipt and verification

First computed	2026-07-05T05:20:10.874644Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e759afba17cb6765745554c77a60fce82704cb484dbd649ffad80fc5bea5ae0a

Aliases

arxiv: 2204.04186 · arxiv_version: 2204.04186v2 · doi: 10.48550/arxiv.2204.04186 · pith_short_12: 45M27OQXZNTW · pith_short_16: 45M27OQXZNTWK5CV · pith_short_8: 45M27OQX

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/45M27OQXZNTWK5CVKTDXUYH45A \
  | 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: e759afba17cb6765745554c77a60fce82704cb484dbd649ffad80fc5bea5ae0a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f4b894723af8f621fbd8241ea0803891763c2fa0d8bb20b4b25d03e44e724f4c",
    "cross_cats_sorted": [
      "cs.CC",
      "cs.DS",
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.GT",
    "submitted_at": "2022-04-08T17:24:16Z",
    "title_canon_sha256": "697b325ee109f39a8922c6f3a463215cd66d506c2600e9590479a4bc1205f495"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2204.04186",
    "kind": "arxiv",
    "version": 2
  }
}