Pith Number

pith:GWOAKH77

pith:2016:GWOAKH77ZIT5DFTJHQ5HJE7NLL

not attested not anchored not stored refs pending

An Approximate Nash Equilibrium for Pure Jump Markov Games of Mean-field-type on Continuous State Space

Astrid Hilbert, Rani Basna, Vassili N. Kolokoltsov

arxiv:1605.05073 v2 · 2016-05-17 · math.OC · math.DS · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GWOAKH77ZIT5DFTJHQ5HJE7NLL}

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	2026-05-18T00:50:29.551299Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

359c051fffca27d196693c3a7493ed5ad76b15fd2956d2b83e8a9a58f241c380

Aliases

arxiv: 1605.05073 · arxiv_version: 1605.05073v2 · doi: 10.48550/arxiv.1605.05073 · pith_short_12: GWOAKH77ZIT5 · pith_short_16: GWOAKH77ZIT5DFTJ · pith_short_8: GWOAKH77

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/GWOAKH77ZIT5DFTJHQ5HJE7NLL \
  | 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: 359c051fffca27d196693c3a7493ed5ad76b15fd2956d2b83e8a9a58f241c380

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6238548231b347e2d65ef446be2cde9cde6d0fcfc27312a1852b47f193d0769c",
    "cross_cats_sorted": [
      "math.DS",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2016-05-17T09:36:28Z",
    "title_canon_sha256": "356182f332ae5518389798e0fa7d2e0c3f056bfc56240cabf7eea17cdd6a3433"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.05073",
    "kind": "arxiv",
    "version": 2
  }
}