Pith Number

pith:ULUS6K25

pith:2016:ULUS6K25BZ2O5BSUY7HW55OTKA

not attested not anchored not stored refs pending

Restricted Stirling permutations

David Callan, Shi-Mei Ma, Toufik Mansour

arxiv:1607.06006 v1 · 2016-07-20 · 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{ULUS6K25BZ2O5BSUY7HW55OTKA}

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	2026-05-18T01:10:43.453019Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a2e92f2b5d0e74ee8654c7cf6ef5d350238519c2ab73b9728c0f7a4a027d0089

Aliases

arxiv: 1607.06006 · arxiv_version: 1607.06006v1 · doi: 10.48550/arxiv.1607.06006 · pith_short_12: ULUS6K25BZ2O · pith_short_16: ULUS6K25BZ2O5BSU · pith_short_8: ULUS6K25

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/ULUS6K25BZ2O5BSUY7HW55OTKA \
  | 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: a2e92f2b5d0e74ee8654c7cf6ef5d350238519c2ab73b9728c0f7a4a027d0089

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6f08764e45b1f1c4e65b30a8fe1d2413f9dbfcadacd8db09f169955cdf010449",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-07-20T16:13:09Z",
    "title_canon_sha256": "b64415fceaa00cb0d4a93b90377aa9b24a5eec98e08492ec1e8ea6de8f5ef09d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.06006",
    "kind": "arxiv",
    "version": 1
  }
}