Pith Number

pith:KE4X5XHR

pith:2012:KE4X5XHREYYMDVTKQQCN2ZXQCU

not attested not anchored not stored refs pending

Smooth neighbors

Brian Conrey, Mark Holmstrom, Tara McLaughlin

arxiv:1212.5161 v1 · 2012-12-20 · 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{KE4X5XHREYYMDVTKQQCN2ZXQCU}

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.

Cited by

1 paper in Pith

Fast Ramanujan--type Series for Logarithms. Part II

Receipt and verification

First computed	2026-05-18T02:25:05.346541Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

51397edcf12630c1d66a8404dd66f0151f6f32e8e95de27e10742e64908b73ca

Aliases

arxiv: 1212.5161 · arxiv_version: 1212.5161v1 · doi: 10.48550/arxiv.1212.5161 · pith_short_12: KE4X5XHREYYM · pith_short_16: KE4X5XHREYYMDVTK · pith_short_8: KE4X5XHR

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/KE4X5XHREYYMDVTKQQCN2ZXQCU \
  | 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: 51397edcf12630c1d66a8404dd66f0151f6f32e8e95de27e10742e64908b73ca

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4e838c9e111fc1a8ae367559a8e014a156be5af5f6e46ec34e9e733b6e3ae14b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-12-20T17:42:48Z",
    "title_canon_sha256": "235244c87055e205a66a15029bcc25096262a5351fed307367f0391da04b1afc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.5161",
    "kind": "arxiv",
    "version": 1
  }
}