Pith Number

pith:WKNKETYN

pith:2026:WKNKETYNNPSE7GYCBFDBDCOOGX

not attested not anchored not stored refs pending

Derangetropy Operators

Masoud Ataei, Sepideh Forouzi

arxiv:2607.24705 v1 · 2026-07-27 · math.PR · math-ph · math.AP · math.DS · math.MP · 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{WKNKETYNNPSE7GYCBFDBDCOOGX}

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	2026-07-28T02:24:23.258118Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b29aa24f0d6be44f9b0209461189ce35c7888811af0f5fe17d880e30ca72bb39

Aliases

arxiv: 2607.24705 · arxiv_version: 2607.24705v1 · doi: 10.48550/arxiv.2607.24705 · pith_short_12: WKNKETYNNPSE · pith_short_16: WKNKETYNNPSE7GYC · pith_short_8: WKNKETYN

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/WKNKETYNNPSE7GYCBFDBDCOOGX \
  | 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: b29aa24f0d6be44f9b0209461189ce35c7888811af0f5fe17d880e30ca72bb39

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "81db2b65d7f4333a18b59468ba8ad73ff4bf8a64c85659cc88a8b3dbac51a810",
    "cross_cats_sorted": [
      "math-ph",
      "math.AP",
      "math.DS",
      "math.MP",
      "math.ST",
      "stat.TH"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2026-07-27T17:46:02Z",
    "title_canon_sha256": "2e60126ac3f1f244b69f01482cc362a25c54103e285ea52fece4cad8b7151c32"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.24705",
    "kind": "arxiv",
    "version": 1
  }
}