Pith Number

pith:7L2OI45U

pith:2017:7L2OI45U2EJCIOIWUEYVN37LRG

not attested not anchored not stored refs pending

Some Connections Between Cycles and Permutations that Fix a Set and Touchard Polynomials and Covers of Multisets

Ross G. Pinsky

arxiv:1701.04855 v2 · 2017-01-17 · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7L2OI45U2EJCIOIWUEYVN37LRG}

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	2026-05-18T00:52:25.046782Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

faf4e473b4d112243916a13156efeb8985b75a54bad885a92a36ce150b40bd87

Aliases

arxiv: 1701.04855 · arxiv_version: 1701.04855v2 · doi: 10.48550/arxiv.1701.04855 · pith_short_12: 7L2OI45U2EJC · pith_short_16: 7L2OI45U2EJCIOIW · pith_short_8: 7L2OI45U

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/7L2OI45U2EJCIOIWUEYVN37LRG \
  | 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: faf4e473b4d112243916a13156efeb8985b75a54bad885a92a36ce150b40bd87

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "28a5cfb1abdaffdcffae50ddfeb03f45febaee4c87b9d1d7f5905e0e5dec4759",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2017-01-17T20:25:14Z",
    "title_canon_sha256": "1fad2132987fd00128db8f218f3a51aa6b4225fd17556b8d46e5d088da2ba75d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1701.04855",
    "kind": "arxiv",
    "version": 2
  }
}