Pith Number

pith:O34ZRN64

pith:2010:O34ZRN64R3FTLTRXWQ4R5UUKTA

not attested not anchored not stored refs pending

Some remarks about the derivative operator and generalized Stirling numbers

M. Mohammad-Noori

arxiv:1012.3948 v3 · 2010-12-17 · 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{O34ZRN64R3FTLTRXWQ4R5UUKTA}

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	2026-05-18T02:25:12.268130Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

76f998b7dc8ecb35ce37b4391ed28a9809deecb2b7e4711ba5c2d3ba0c09fc4a

Aliases

arxiv: 1012.3948 · arxiv_version: 1012.3948v3 · doi: 10.48550/arxiv.1012.3948 · pith_short_12: O34ZRN64R3FT · pith_short_16: O34ZRN64R3FTLTRX · pith_short_8: O34ZRN64

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/O34ZRN64R3FTLTRXWQ4R5UUKTA \
  | 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: 76f998b7dc8ecb35ce37b4391ed28a9809deecb2b7e4711ba5c2d3ba0c09fc4a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8d53ad56d3899b596179a6aa99e6aaf5e986f967583f0a85e3c8e92b05143dea",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2010-12-17T18:11:08Z",
    "title_canon_sha256": "e7c8dfbcfc54a2d473faaeaf8a10519926a05f13e8bd1ae97144315a0a9c22e6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.3948",
    "kind": "arxiv",
    "version": 3
  }
}