Pith Number

pith:FJVNEQNJ

pith:2010:FJVNEQNJHGOPKJTM7ENHRMTQZ4

not attested not anchored not stored refs pending

Optimal transport for multifractal random measures. Applications

R\'emi Rhodes (CEREMADE), Vincent Vargas (CEREMADE)

arxiv:1009.0133 v1 · 2010-09-01 · math.PR · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FJVNEQNJHGOPKJTM7ENHRMTQZ4}

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	2026-05-18T04:41:35.445752Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2a6ad241a9399cf5266cf91a78b270cf136941469cadddbec6919cb375975196

Aliases

arxiv: 1009.0133 · arxiv_version: 1009.0133v1 · doi: 10.48550/arxiv.1009.0133 · pith_short_12: FJVNEQNJHGOP · pith_short_16: FJVNEQNJHGOPKJTM · pith_short_8: FJVNEQNJ

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/FJVNEQNJHGOPKJTM7ENHRMTQZ4 \
  | 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: 2a6ad241a9399cf5266cf91a78b270cf136941469cadddbec6919cb375975196

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5517241edafdacb94daf4478c490e93b795dabe68994f8991b3a0e6bd07840d2",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2010-09-01T09:36:20Z",
    "title_canon_sha256": "4d7b352b5679ca62e544e473feca72eff00626bc5b039189e0481a9adba7b943"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.0133",
    "kind": "arxiv",
    "version": 1
  }
}