Pith Number

pith:IRE4DRJL

pith:2004:IRE4DRJLZWEYCLWFBHYDCAREIT

not attested not anchored not stored refs pending

From n+1-level atom chains to n-dimensional noises

Stephane Attal, Yan Pautrat

arxiv:math/0402064 v1 · 2004-02-04 · math.PR · math-ph · math.FA · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IRE4DRJLZWEYCLWFBHYDCAREIT}

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	2026-05-18T01:38:28.579572Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4449c1c52bcd89812ec509f031022444e9f8cabf274b300a0a409f343c1687af

Aliases

arxiv: math/0402064 · arxiv_version: math/0402064v1 · doi: 10.48550/arxiv.math/0402064 · pith_short_12: IRE4DRJLZWEY · pith_short_16: IRE4DRJLZWEYCLWF · pith_short_8: IRE4DRJL

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/IRE4DRJLZWEYCLWFBHYDCAREIT \
  | 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: 4449c1c52bcd89812ec509f031022444e9f8cabf274b300a0a409f343c1687af

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fc2edf9ae8044ee5f560c30edcd1e177c7d5a68b6eb9a5cbd0aebce62da28cde",
    "cross_cats_sorted": [
      "math-ph",
      "math.FA",
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math.PR",
    "submitted_at": "2004-02-04T17:59:18Z",
    "title_canon_sha256": "5a2838c7192015b42fe46f0aa5ea3646e5f78beaa701bac469fc39e45dbad13d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0402064",
    "kind": "arxiv",
    "version": 1
  }
}