Pith Number

pith:XQRSCI3Z

pith:2011:XQRSCI3ZVHNCOIHKLOMOCAG7NZ

not attested not anchored not stored refs pending

Polynomial Cunningham Chains

Lenny Jones

arxiv:1104.1579 v1 · 2011-04-08 · 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{XQRSCI3ZVHNCOIHKLOMOCAG7NZ}

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	2026-05-18T04:24:44.817654Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bc23212379a9da2720ea5b98e100df6e7014fa1e986539d13afeed292c329f74

Aliases

arxiv: 1104.1579 · arxiv_version: 1104.1579v1 · doi: 10.48550/arxiv.1104.1579 · pith_short_12: XQRSCI3ZVHNC · pith_short_16: XQRSCI3ZVHNCOIHK · pith_short_8: XQRSCI3Z

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/XQRSCI3ZVHNCOIHKLOMOCAG7NZ \
  | 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: bc23212379a9da2720ea5b98e100df6e7014fa1e986539d13afeed292c329f74

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0851b84054085430ac66a43b859e6d4cd58c95c1eaf1b1b0aa26bec7939bb3db",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2011-04-08T14:01:41Z",
    "title_canon_sha256": "1deebd61882a8aba59da1048a81eec3822162ca1a7c29a5d87b0d702553a34f8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.1579",
    "kind": "arxiv",
    "version": 1
  }
}