Pith Number

pith:IGWGLEVF

pith:2014:IGWGLEVFMCMRQ3ZQU6EAN3UCEF

not attested not anchored not stored refs pending

A 1/n Nash equilibrium for non-linear Markov games of mean-field-type on finite state space

Astrid Hilbert, Rani Basna, Vassili N. Kolokoltsov

arxiv:1403.0426 v2 · 2014-03-03 · 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{IGWGLEVFMCMRQ3ZQU6EAN3UCEF}

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	2026-05-18T02:20:36.915225Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

41ac6592a56099186f30a78806ee822141e36a18e8ac2f3b5f7195a0371fb89a

Aliases

arxiv: 1403.0426 · arxiv_version: 1403.0426v2 · doi: 10.48550/arxiv.1403.0426 · pith_short_12: IGWGLEVFMCMR · pith_short_16: IGWGLEVFMCMRQ3ZQ · pith_short_8: IGWGLEVF

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/IGWGLEVFMCMRQ3ZQU6EAN3UCEF \
  | 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: 41ac6592a56099186f30a78806ee822141e36a18e8ac2f3b5f7195a0371fb89a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4165f8119baac442c08a03ae620e65869f50dcd8584e791a744031fbc13b1860",
    "cross_cats_sorted": [
      "math.DS",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2014-03-03T13:33:50Z",
    "title_canon_sha256": "263d054d0dce1e518a85902035c53be807ea9160f1f161fe6013b782b314343f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1403.0426",
    "kind": "arxiv",
    "version": 2
  }
}