Pith Number

pith:UZQPJYLD

pith:2013:UZQPJYLDCL6TNXGMVLLEAO24MD

not attested not anchored not stored refs pending

Zero-sum repeated games: Counterexamples to the existence of the asymptotic value and the conjecture $\operatorname{maxmin}=\operatorname{lim}v_n$

Bruno Ziliotto

arxiv:1305.4778 v4 · 2013-05-21 · math.OC · cs.LG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UZQPJYLDCL6TNXGMVLLEAO24MD}

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	2026-05-18T01:19:06.549090Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a660f4e16312fd36dcccaad6403b5c60e0ba465b66883911f0f91e9bc6a77637

Aliases

arxiv: 1305.4778 · arxiv_version: 1305.4778v4 · doi: 10.48550/arxiv.1305.4778 · pith_short_12: UZQPJYLDCL6T · pith_short_16: UZQPJYLDCL6TNXGM · pith_short_8: UZQPJYLD

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/UZQPJYLDCL6TNXGMVLLEAO24MD \
  | 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: a660f4e16312fd36dcccaad6403b5c60e0ba465b66883911f0f91e9bc6a77637

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6d824e3ffd9eee927eaa945432122d641451e115a01c7ebb490253b72d734a70",
    "cross_cats_sorted": [
      "cs.LG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2013-05-21T10:32:29Z",
    "title_canon_sha256": "99039b160febc1a614b87952ab860a14b21371a14a9f7e7a3fad161d55b9a552"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.4778",
    "kind": "arxiv",
    "version": 4
  }
}