Pith Number

pith:S7DGBE2G

pith:2014:S7DGBE2GK2BDWJRLE3GRT73LXV

not attested not anchored not stored refs pending

The 2-adic valuations of differences of Stirling numbers of the second kind

Jianrong Zhao, Shaofang Hong, Wei Zhao

arxiv:1407.8443 v1 · 2014-07-31 · 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{S7DGBE2GK2BDWJRLE3GRT73LXV}

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	2026-05-18T02:46:05.091115Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

97c660934656823b262b26cd19ff6bbd707299791a4271b51a8500a7aa3a73ac

Aliases

arxiv: 1407.8443 · arxiv_version: 1407.8443v1 · doi: 10.48550/arxiv.1407.8443 · pith_short_12: S7DGBE2GK2BD · pith_short_16: S7DGBE2GK2BDWJRL · pith_short_8: S7DGBE2G

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/S7DGBE2GK2BDWJRLE3GRT73LXV \
  | 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: 97c660934656823b262b26cd19ff6bbd707299791a4271b51a8500a7aa3a73ac

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b83ca2329d1162ce6e649696216aee8607d345d35e86d0b2b7c6dc0e4ba0a1ef",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2014-07-31T14:51:18Z",
    "title_canon_sha256": "66c7e7567189ed70b169599ac517ce5a619d0b30d1a8456b58056c73eab88afa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1407.8443",
    "kind": "arxiv",
    "version": 1
  }
}