Pith Number

pith:U6V3YDHT

pith:2020:U6V3YDHTFZTKBMFMSCLGW4AKR3

not attested not anchored not stored refs pending

A mean-field analysis of two-player zero-sum games

Arthur Mensch, Carles Domingo-Enrich, Grant Rotskoff, Joan Bruna, Samy Jelassi

arxiv:2002.06277 v4 · 2020-02-14 · cs.LG · math.OC · math.PR · stat.ML

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{U6V3YDHTFZTKBMFMSCLGW4AKR3}

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	2026-07-05T02:37:55.095699Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a7abbc0cf32e66a0b0ac90966b700a8ecaf51497219642f278d3dba87d35226c

Aliases

arxiv: 2002.06277 · arxiv_version: 2002.06277v4 · doi: 10.48550/arxiv.2002.06277 · pith_short_12: U6V3YDHTFZTK · pith_short_16: U6V3YDHTFZTKBMFM · pith_short_8: U6V3YDHT

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/U6V3YDHTFZTKBMFMSCLGW4AKR3 \
  | 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: a7abbc0cf32e66a0b0ac90966b700a8ecaf51497219642f278d3dba87d35226c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d59c53f5c067ec381a88e2c54af0b4b212da6c822b17e7ba223682b935dc0610",
    "cross_cats_sorted": [
      "math.OC",
      "math.PR",
      "stat.ML"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2020-02-14T22:46:35Z",
    "title_canon_sha256": "4d3ce3efd48484ebe53e935bafff250557be5cad650c0d1b5c82375cb059f6ae"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2002.06277",
    "kind": "arxiv",
    "version": 4
  }
}