Pith Number

pith:5Q5IJZQW

pith:2024:5Q5IJZQWJC4TCTTLJU5VHHY5CV

not attested not anchored not stored refs pending

Mean field games of major-minor agents with recursive functionals

Harry Zheng, Jianhui Huang, Wenqiang Li

arxiv:2412.11433 v1 · 2024-12-16 · 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{5Q5IJZQWJC4TCTTLJU5VHHY5CV}

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	2026-07-05T09:49:32.963210Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ec3a84e61648b9314e6b4d3b539f1d155d3271fa0c8e74b75514fa751be37775

Aliases

arxiv: 2412.11433 · arxiv_version: 2412.11433v1 · doi: 10.48550/arxiv.2412.11433 · pith_short_12: 5Q5IJZQWJC4T · pith_short_16: 5Q5IJZQWJC4TCTTL · pith_short_8: 5Q5IJZQW

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/5Q5IJZQWJC4TCTTLJU5VHHY5CV \
  | 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: ec3a84e61648b9314e6b4d3b539f1d155d3271fa0c8e74b75514fa751be37775

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "156b0eb41ca4fb9655806fd407942c9c20dcc2999c5397523e17858e36becb67",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2024-12-16T04:11:57Z",
    "title_canon_sha256": "f2952616cd45c3cf43437dcf9a43a5d573287b6095034c3903a179321edebeff"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.11433",
    "kind": "arxiv",
    "version": 1
  }
}