Pith Number

pith:QU46WNAN

pith:2013:QU46WNANRKPUHY3KD2WQSOAS2D

not attested not anchored not stored refs pending

Maximum entropy copula with given diagonal section

Anne Dutfoy, Cristina Butucea, Jean-Fran\c{c}ois Delmas, Richard Fischer

arxiv:1312.5219 v1 · 2013-12-18 · math.ST · stat.TH

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QU46WNANRKPUHY3KD2WQSOAS2D}

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	2026-05-18T03:04:15.983286Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8539eb340d8a9f43e36a1ead093812d0f8485f32789eb102bd5fd5c6c754a755

Aliases

arxiv: 1312.5219 · arxiv_version: 1312.5219v1 · doi: 10.48550/arxiv.1312.5219 · pith_short_12: QU46WNANRKPU · pith_short_16: QU46WNANRKPUHY3K · pith_short_8: QU46WNAN

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/QU46WNANRKPUHY3KD2WQSOAS2D \
  | 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: 8539eb340d8a9f43e36a1ead093812d0f8485f32789eb102bd5fd5c6c754a755

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "070274edfc3b40d7bc54ca8846ba3e1401874a54cd6ec68af6ab6bc74f5e83ec",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2013-12-18T16:57:42Z",
    "title_canon_sha256": "ce4b37f34f1bf3791b1835b65acb57037d50334cc4d5e88d33bec3ccbe536b76"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.5219",
    "kind": "arxiv",
    "version": 1
  }
}