Pith Number

pith:DO3RGLUN

pith:2011:DO3RGLUNTYL42RNXX6XZIDM7XA

not attested not anchored not stored refs pending

On Mean Field Convergence and Stationary Regime

Jean-Yves Le Boudec, Michel Benaim

arxiv:1111.5710 v1 · 2011-11-24 · math.DS · cs.PF · cs.SY

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DO3RGLUNTYL42RNXX6XZIDM7XA}

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	2026-05-18T03:51:23.632437Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1bb7132e8d9e17cd45b7bfaf940d9fb810120c329180a0dedcf21b7328beb4b3

Aliases

arxiv: 1111.5710 · arxiv_version: 1111.5710v1 · doi: 10.48550/arxiv.1111.5710 · pith_short_12: DO3RGLUNTYL4 · pith_short_16: DO3RGLUNTYL42RNX · pith_short_8: DO3RGLUN

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/DO3RGLUNTYL42RNXX6XZIDM7XA \
  | 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: 1bb7132e8d9e17cd45b7bfaf940d9fb810120c329180a0dedcf21b7328beb4b3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ba9c913a2d27a4b63148e311d950d1140a3d0aeb3a3a455a45d85217ab57de96",
    "cross_cats_sorted": [
      "cs.PF",
      "cs.SY"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2011-11-24T10:13:13Z",
    "title_canon_sha256": "8a2c52a44540b42aa5f9d1fd0e09f1871ddc03c8768c8cb8adb1c88fad29351b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.5710",
    "kind": "arxiv",
    "version": 1
  }
}