Pith Number

pith:MXWD7INH

pith:2014:MXWD7INHYFZAVOJOGCDINZSZWG

not attested not anchored not stored refs pending

A von Staudt-type formula for $\displaystyle{\sum_{z\in\mathbb{Z}_n[i]} z^k }$

Antonio Oller-Marcen, Jose Maria Grau, Pedro Fortuny Ayuso

arxiv:1402.0333 v2 · 2014-02-03 · 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{MXWD7INHYFZAVOJOGCDINZSZWG}

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	2026-05-18T03:00:14.253909Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

65ec3fa1a7c1720ab92e308686e659b1b1dd83494e1d2b29c9794afa9aa3bd2e

Aliases

arxiv: 1402.0333 · arxiv_version: 1402.0333v2 · doi: 10.48550/arxiv.1402.0333 · pith_short_12: MXWD7INHYFZA · pith_short_16: MXWD7INHYFZAVOJO · pith_short_8: MXWD7INH

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/MXWD7INHYFZAVOJOGCDINZSZWG \
  | 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: 65ec3fa1a7c1720ab92e308686e659b1b1dd83494e1d2b29c9794afa9aa3bd2e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "02b1057781b6ad25bdf415ee7d4d456cd7460d8f369ff03ba15ee451dfebe31c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2014-02-03T10:27:19Z",
    "title_canon_sha256": "5253fd8632b9152b98676f04ef34b00aa034e1fa3d407b0a8969d2954860da20"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1402.0333",
    "kind": "arxiv",
    "version": 2
  }
}