Pith Number

pith:S34XSRJV

pith:2025:S34XSRJVRUDY6LTT5YBDZXF4YF

not attested not anchored not stored refs pending

A "trembling hand perfect" equilibrium for a certain class of mean field games

P. Jameson Graber

arxiv:2506.11868 v1 · 2025-06-13 · math.AP · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{S34XSRJVRUDY6LTT5YBDZXF4YF}

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	2026-07-05T11:21:11.996335Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

96f97945358d078f2e73ee023cdcbcc153e0d407d6d672490e1a4680920d9761

Aliases

arxiv: 2506.11868 · arxiv_version: 2506.11868v1 · doi: 10.48550/arxiv.2506.11868 · pith_short_12: S34XSRJVRUDY · pith_short_16: S34XSRJVRUDY6LTT · pith_short_8: S34XSRJV

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/S34XSRJVRUDY6LTT5YBDZXF4YF \
  | 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: 96f97945358d078f2e73ee023cdcbcc153e0d407d6d672490e1a4680920d9761

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "871a2eacc329138648137f30e04e4d517a05b7e603b6dc87f767456092931243",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2025-06-13T15:17:56Z",
    "title_canon_sha256": "bb1b52a412b7db6593959027ee9fbe140ed35c5570336baf55db0cc4ff6c8c7c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.11868",
    "kind": "arxiv",
    "version": 1
  }
}