Pith Number

pith:2VFDZG7K

pith:2019:2VFDZG7KMPEFO6BY2OCHJAPLIZ

not attested not anchored not stored refs pending

On the $p$-adic properties of Stirling numbers of the first kind

Min Qiu, Shaofang Hong

arxiv:1908.05594 v2 · 2019-08-15 · 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{2VFDZG7KMPEFO6BY2OCHJAPLIZ}

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	2026-07-05T00:44:39.657718Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d54a3c9bea63c8577838d3847481eb467788a215ece6110a8e6eb02fbb065c0b

Aliases

arxiv: 1908.05594 · arxiv_version: 1908.05594v2 · doi: 10.48550/arxiv.1908.05594 · pith_short_12: 2VFDZG7KMPEF · pith_short_16: 2VFDZG7KMPEFO6BY · pith_short_8: 2VFDZG7K

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/2VFDZG7KMPEFO6BY2OCHJAPLIZ \
  | 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: d54a3c9bea63c8577838d3847481eb467788a215ece6110a8e6eb02fbb065c0b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "15be1acfc166d6a5e7b9a699683f5c9818bb637b295bbd3372edf7b94851378a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2019-08-15T15:44:10Z",
    "title_canon_sha256": "47bb6ed6f5584c8eac90cad9cf876b0fbc3e10047331e159094ac286a9511bcd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.05594",
    "kind": "arxiv",
    "version": 2
  }
}