Pith Number

pith:IG2XYPQU

pith:2011:IG2XYPQUEQQFOZ5FFN3BMNLUV3

not attested not anchored not stored refs pending

Mean Field Asymptotics of Markov Decision Evolutionary Games and Teams

E. Altman, H. Tembine, J.-Y. Le Boudec, R. El-Azouzi

arxiv:1109.2724 v2 · 2011-09-13 · math.OC · 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{IG2XYPQUEQQFOZ5FFN3BMNLUV3}

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	2026-05-18T04:04:53.225150Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

41b57c3e1424205767a52b76163574aee9756e49ae7d7c34dca342cda3d20002

Aliases

arxiv: 1109.2724 · arxiv_version: 1109.2724v2 · doi: 10.48550/arxiv.1109.2724 · pith_short_12: IG2XYPQUEQQF · pith_short_16: IG2XYPQUEQQFOZ5F · pith_short_8: IG2XYPQU

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/IG2XYPQUEQQFOZ5FFN3BMNLUV3 \
  | 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: 41b57c3e1424205767a52b76163574aee9756e49ae7d7c34dca342cda3d20002

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "122ca8c0e45d0ef609ea86a4a449480489d93f6619df5316bfea04df5cdda297",
    "cross_cats_sorted": [
      "cs.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2011-09-13T09:46:48Z",
    "title_canon_sha256": "1c20fa3c5444bb6c10bb9a727cf88a0eaa17677f408265eb0860d586ae08b579"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.2724",
    "kind": "arxiv",
    "version": 2
  }
}