Pith Number

pith:WNCOG6OB

pith:2004:WNCOG6OB2B3O6R2WSB2RHQQZR5

not attested not anchored not stored refs pending

Some remarks on Kurepa's left factorial

Bernd C. Kellner

arxiv:math/0410477 v1 · 2004-10-21 · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WNCOG6OB2B3O6R2WSB2RHQQZR5}

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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.

Cited by

1 paper in Pith

Partition Functions and Kurepa Decomposition I: Algebraic computation and some physical Applications

Receipt and verification

First computed	2026-07-04T14:39:17.813827Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b344e379c1d076ef4756907513c2198f5de0efc2e23a07dc024045e860fa2761

Aliases

arxiv: math/0410477 · arxiv_version: math/0410477v1 · doi: 10.48550/arxiv.math/0410477 · pith_short_12: WNCOG6OB2B3O · pith_short_16: WNCOG6OB2B3O6R2W · pith_short_8: WNCOG6OB

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/WNCOG6OB2B3O6R2WSB2RHQQZR5 \
  | 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: b344e379c1d076ef4756907513c2198f5de0efc2e23a07dc024045e860fa2761

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4adcec10e61f9179d0d2917d4876309aa12a70e6581b2fc4a91aa8b1202bd628",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.NT",
    "submitted_at": "2004-10-21T21:03:44Z",
    "title_canon_sha256": "e659d13a78e8bbe0a92ceca222af408ad7bea0ecc0747a743aaffe206fe6090a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0410477",
    "kind": "arxiv",
    "version": 1
  }
}