Pith Number

pith:PZIUDD4F

pith:2008:PZIUDD4FFEZFIDB5EYNJR5PA3R

not attested not anchored not stored refs pending

Testing composite hypotheses via convex duality

Birgit Rudloff, Ioannis Karatzas

arxiv:0809.4297 v2 · 2008-09-24 · math.PR · math.OC · 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{PZIUDD4FFEZFIDB5EYNJR5PA3R}

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	2026-05-18T04:34:46.401292Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7e51418f852932540c3d261a98f5e0dc7ab5bb2afb508b3fe480882a24fe2487

Aliases

arxiv: 0809.4297 · arxiv_version: 0809.4297v2 · doi: 10.48550/arxiv.0809.4297 · pith_short_12: PZIUDD4FFEZF · pith_short_16: PZIUDD4FFEZFIDB5 · pith_short_8: PZIUDD4F

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/PZIUDD4FFEZFIDB5EYNJR5PA3R \
  | 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: 7e51418f852932540c3d261a98f5e0dc7ab5bb2afb508b3fe480882a24fe2487

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a3f7350489032d38b97abe448ec7ec2052f06cec8ad83a425ad445e27417f93a",
    "cross_cats_sorted": [
      "math.OC",
      "math.ST",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2008-09-24T23:15:01Z",
    "title_canon_sha256": "ce65d812bfce7a2275c3b4aafdbabdc5c8efeba09525892eb38edffcea155b46"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0809.4297",
    "kind": "arxiv",
    "version": 2
  }
}