Pith Number

pith:2VNH5FMF

pith:2015:2VNH5FMFYIPNGEYQGVN2KBSZPJ

not attested not anchored not stored refs pending

A diophantine sum with factorials

Aleksander Zujev, Geoffrey B. Campbell

arxiv:1510.03056 v2 · 2015-10-11 · 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{2VNH5FMFYIPNGEYQGVN2KBSZPJ}

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	2026-05-18T01:30:01.709674Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d55a7e9585c21ed31310355ba506597a7d21c02e4b269eb9c91db68326e56e79

Aliases

arxiv: 1510.03056 · arxiv_version: 1510.03056v2 · doi: 10.48550/arxiv.1510.03056 · pith_short_12: 2VNH5FMFYIPN · pith_short_16: 2VNH5FMFYIPNGEYQ · pith_short_8: 2VNH5FMF

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/2VNH5FMFYIPNGEYQGVN2KBSZPJ \
  | 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: d55a7e9585c21ed31310355ba506597a7d21c02e4b269eb9c91db68326e56e79

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "519c584da0941fa3c980c9f155c4fc42b0294d80f97ab671f650f053dfc5b2d9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-10-11T14:09:17Z",
    "title_canon_sha256": "587b0ab34fc766a6b92b9235b21e63ee04b0cd85fef7a5711b848bef4bcfd847"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.03056",
    "kind": "arxiv",
    "version": 2
  }
}