Pith Number

pith:Z5JOBQ6F

pith:2007:Z5JOBQ6FWX6YME7V74NS5PZMGF

not attested not anchored not stored refs pending

Entropic Projections and Dominating Points

Christian L\'eonard (MODAL'X)

arxiv:0711.0206 v2 · 2007-11-01 · math.PR · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Z5JOBQ6FWX6YME7V74NS5PZMGF}

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	2026-05-17T23:48:12.324838Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cf52e0c3c5b5fd8613f5ff1b2ebf2c3165cf9c690be19650c11e258bd28ddb61

Aliases

arxiv: 0711.0206 · arxiv_version: 0711.0206v2 · doi: 10.48550/arxiv.0711.0206 · pith_short_12: Z5JOBQ6FWX6Y · pith_short_16: Z5JOBQ6FWX6YME7V · pith_short_8: Z5JOBQ6F

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/Z5JOBQ6FWX6YME7V74NS5PZMGF \
  | 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: cf52e0c3c5b5fd8613f5ff1b2ebf2c3165cf9c690be19650c11e258bd28ddb61

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "26ecccef6ad78dea56a50a43b85c4e25be8c7c74c44246df6c987ba7add40ccd",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2007-11-01T19:50:54Z",
    "title_canon_sha256": "044544ee6b3d527307b03dbd468df3b606979a77fb7dd062d6b7daa73a4a6248"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0711.0206",
    "kind": "arxiv",
    "version": 2
  }
}