Pith Number

pith:RUZTOZWB

pith:2026:RUZTOZWBOKATWCEMRK7DS3BQGT

not attested not anchored not stored refs pending

A general identity for umbral operators and a special subclass

Kei Beauduin

arxiv:2601.10275 v2 · 2026-01-15 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RUZTOZWBOKATWCEMRK7DS3BQGT}

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	2026-05-21T01:04:20.876845Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8d333766c172813b088c8abe396c3034d74bfc62948bf9c4fa1f6147b60888dc

Aliases

arxiv: 2601.10275 · arxiv_version: 2601.10275v2 · doi: 10.48550/arxiv.2601.10275 · pith_short_12: RUZTOZWBOKAT · pith_short_16: RUZTOZWBOKATWCEM · pith_short_8: RUZTOZWB

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/RUZTOZWBOKATWCEMRK7DS3BQGT \
  | 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: 8d333766c172813b088c8abe396c3034d74bfc62948bf9c4fa1f6147b60888dc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4e91a6d8513f2eed9ae4aa6cad6b3c095dc1032c90bd3aee6d0dc35d6c5459e8",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-sa/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-01-15T10:49:24Z",
    "title_canon_sha256": "af809908686729f017879c9cb2b4084ecdbc338f3f69df33170b662d83d6c843"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2601.10275",
    "kind": "arxiv",
    "version": 2
  }
}