Pith Number

pith:DH55OR6Y

pith:2026:DH55OR6Y5G2ZGSQNIKQ6Z6YC4L

not attested not anchored not stored refs pending

From Clouatre-Ostermann-Ransford to Okubo-Ando

John E. McCarthy, Michael Hartz

arxiv:2606.02922 v1 · 2026-06-01 · math.FA · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DH55OR6Y5G2ZGSQNIKQ6Z6YC4L}

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	2026-06-03T01:05:26.644032Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

19fbd747d8e9b5934a0d42a1ecfb02e2e7ac40bbc2fb8778c2e7274200705eb3

Aliases

arxiv: 2606.02922 · arxiv_version: 2606.02922v1 · doi: 10.48550/arxiv.2606.02922 · pith_short_12: DH55OR6Y5G2Z · pith_short_16: DH55OR6Y5G2ZGSQN · pith_short_8: DH55OR6Y

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/DH55OR6Y5G2ZGSQNIKQ6Z6YC4L \
  | 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: 19fbd747d8e9b5934a0d42a1ecfb02e2e7ac40bbc2fb8778c2e7274200705eb3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8dd68f43fcb091f9a9d98ea38e18eefa0e78d6a57a8a1d2b7539f300d5ea767d",
    "cross_cats_sorted": [
      "math.OA"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2026-06-01T21:53:25Z",
    "title_canon_sha256": "4c0f41865df93fc729a7af34d85fdefef5149318a08be8d43c7ef7be2eafea16"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.02922",
    "kind": "arxiv",
    "version": 1
  }
}