Pith Number

pith:NE4HRZEW

pith:2014:NE4HRZEWXNI3F6WGFSIUPWVZAK

not attested not anchored not stored refs pending

On the sum of digits of the factorial

Carlo Sanna

arxiv:1409.4912 v1 · 2014-09-17 · 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{NE4HRZEWXNI3F6WGFSIUPWVZAK}

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	2026-05-18T02:39:08.463851Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

693878e496bb51b2fac62c9147dab902acdd16dd8c20c9a356d3c05e9b38afd4

Aliases

arxiv: 1409.4912 · arxiv_version: 1409.4912v1 · doi: 10.48550/arxiv.1409.4912 · pith_short_12: NE4HRZEWXNI3 · pith_short_16: NE4HRZEWXNI3F6WG · pith_short_8: NE4HRZEW

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/NE4HRZEWXNI3F6WGFSIUPWVZAK \
  | 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: 693878e496bb51b2fac62c9147dab902acdd16dd8c20c9a356d3c05e9b38afd4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9981a0a32fe4406f39eab672038a5fa8b1da076413bf0595d3f1cb76d71222ad",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2014-09-17T09:28:42Z",
    "title_canon_sha256": "bcc904afd8475ccfefd32d7fbf700519a57564d7e5f330fcd06e38f6715ca97e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.4912",
    "kind": "arxiv",
    "version": 1
  }
}