Pith Number

pith:XMW4HQJM

pith:2014:XMW4HQJMHS2X5YOBJ6GFYIT7ED

not attested not anchored not stored refs pending

The Master Equation in Mean Field Theory

Alain Bensoussan, Jens Frehse, Phillip Yam

arxiv:1404.4150 v2 · 2014-04-16 · math.AP · math.DS · math.OC · math.PR · q-fin.MF

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XMW4HQJMHS2X5YOBJ6GFYIT7ED}

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	2026-05-18T02:38:37.061421Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bb2dc3c12c3cb57ee1c14f8c5c227f20ec5728da785e43bfc5bba178eeec2c07

Aliases

arxiv: 1404.4150 · arxiv_version: 1404.4150v2 · doi: 10.48550/arxiv.1404.4150 · pith_short_12: XMW4HQJMHS2X · pith_short_16: XMW4HQJMHS2X5YOB · pith_short_8: XMW4HQJM

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/XMW4HQJMHS2X5YOBJ6GFYIT7ED \
  | 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: bb2dc3c12c3cb57ee1c14f8c5c227f20ec5728da785e43bfc5bba178eeec2c07

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "032df9ab71d14d6061a47c2feb5872edcc2ec9a05b9cbe2386b407c1f9f4c967",
    "cross_cats_sorted": [
      "math.DS",
      "math.OC",
      "math.PR",
      "q-fin.MF"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2014-04-16T06:50:27Z",
    "title_canon_sha256": "0999bf3865ad7b2a7adf0ba17bb199a5db6f2efc5bc2be7f17e454da09c13899"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1404.4150",
    "kind": "arxiv",
    "version": 2
  }
}