Pith Number

pith:OIXFLBK4

pith:2010:OIXFLBK4UW5MEQBN2LWYC3A5M6

not attested not anchored not stored refs pending

Optimal coupling for mean field limits

Fran\c{c}ois Bolley (CEREMADE)

arxiv:1009.3855 v1 · 2010-09-20 · math.CA · math.AP · math.DG · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OIXFLBK4UW5MEQBN2LWYC3A5M6}

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	2026-05-18T04:40:43.702659Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

722e55855ca5bac2402dd2ed816c1d679f1f77843580607f33982124f2d96e7c

Aliases

arxiv: 1009.3855 · arxiv_version: 1009.3855v1 · doi: 10.48550/arxiv.1009.3855 · pith_short_12: OIXFLBK4UW5M · pith_short_16: OIXFLBK4UW5MEQBN · pith_short_8: OIXFLBK4

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/OIXFLBK4UW5MEQBN2LWYC3A5M6 \
  | 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: 722e55855ca5bac2402dd2ed816c1d679f1f77843580607f33982124f2d96e7c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "52356498a980a58479a12ad36dcaac9983cd0d58db94a2fff972c68ed1f1fc4f",
    "cross_cats_sorted": [
      "math.AP",
      "math.DG",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2010-09-20T15:42:18Z",
    "title_canon_sha256": "99e6faf8911237ad02ceeba4938dc343cca42fe471e4960a9b1319e422634895"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.3855",
    "kind": "arxiv",
    "version": 1
  }
}