Pith Number

pith:JPK32M5S

pith:2006:JPK32M5SFQ4M2AX6HK25YL42EC

not attested not anchored not stored refs pending

High Dimensional Probability

Evarist Gin\'e, Joel Zinn, Vladimir Koltchinskii, Wenbo Li

arxiv:math/0612726 v1 · 2006-12-27 · 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{JPK32M5SFQ4M2AX6HK25YL42EC}

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	2026-05-18T01:08:49.307247Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4bd5bd33b22c38cd02fe3ab5dc2f9a20857be6e879023d9112fd09ba82ec0871

Aliases

arxiv: math/0612726 · arxiv_version: math/0612726v1 · doi: 10.48550/arxiv.math/0612726 · pith_short_12: JPK32M5SFQ4M · pith_short_16: JPK32M5SFQ4M2AX6 · pith_short_8: JPK32M5S

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/JPK32M5SFQ4M2AX6HK25YL42EC \
  | 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: 4bd5bd33b22c38cd02fe3ab5dc2f9a20857be6e879023d9112fd09ba82ec0871

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "58d2bcac6847a0a5646341ba21137878e4cb892d4e0ddf168159dae3acb9e10a",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.PR",
    "submitted_at": "2006-12-27T15:00:39Z",
    "title_canon_sha256": "234bf8d7f9fc303a45f6c7e19669db8ff250435a92864675e49251638e68cdde"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0612726",
    "kind": "arxiv",
    "version": 1
  }
}