Pith Number

pith:2ZW5FWAE

pith:2013:2ZW5FWAERABPAITDVVZI77AQFY

not attested not anchored not stored refs pending

Convergence and generalization of a recursion equation for primes

James Haley III

arxiv:1311.4216 v1 · 2013-11-17 · 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{2ZW5FWAERABPAITDVVZI77AQFY}

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	2026-05-18T03:06:53.298648Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d66dd2d8048802f02263ad728ffc102e01837a387f881e436a8ff4c3020abe4a

Aliases

arxiv: 1311.4216 · arxiv_version: 1311.4216v1 · doi: 10.48550/arxiv.1311.4216 · pith_short_12: 2ZW5FWAERABP · pith_short_16: 2ZW5FWAERABPAITD · pith_short_8: 2ZW5FWAE

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/2ZW5FWAERABPAITDVVZI77AQFY \
  | 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: d66dd2d8048802f02263ad728ffc102e01837a387f881e436a8ff4c3020abe4a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bce4378bf407a0658f12aed1797c59fc3efbfcb26c589189269998ffa4660fee",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-11-17T21:07:50Z",
    "title_canon_sha256": "79997550c141c81c7cfc0b6348f1d99a9fc18235253e098a39481b2173a00797"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.4216",
    "kind": "arxiv",
    "version": 1
  }
}