Pith Number

pith:5BYVZRHM

pith:2012:5BYVZRHMA5CHZJJ7XV2CYIEJUO

not attested not anchored not stored refs pending

Superabundant numbers, their subsequences and the Riemann hypothesis

Sadegh Nazardonyavi, Semyon Yakubovich

arxiv:1211.2147 v3 · 2012-11-09 · 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{5BYVZRHMA5CHZJJ7XV2CYIEJUO}

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	2026-05-18T03:32:31.483703Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e8715cc4ec07447ca53fbd742c2089a39fc9f4bc7e0004cac8da5825b9ced8e9

Aliases

arxiv: 1211.2147 · arxiv_version: 1211.2147v3 · doi: 10.48550/arxiv.1211.2147 · pith_short_12: 5BYVZRHMA5CH · pith_short_16: 5BYVZRHMA5CHZJJ7 · pith_short_8: 5BYVZRHM

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/5BYVZRHMA5CHZJJ7XV2CYIEJUO \
  | 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: e8715cc4ec07447ca53fbd742c2089a39fc9f4bc7e0004cac8da5825b9ced8e9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b0db3792197530542871c488f8e154188b9457fefeb938acc59aaf6e8b80500d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-11-09T14:52:20Z",
    "title_canon_sha256": "d3f8340953aef7ec9e62e4781d6888eb430d9fb3967ac9eb119554521701af19"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.2147",
    "kind": "arxiv",
    "version": 3
  }
}