Pith Number

pith:P5DN3GMB

pith:2012:P5DN3GMBJY5D6MZXDZS6M7AKPY

not attested not anchored not stored refs pending

Elliptic aliquot cycles of fixed length

Nathan Jones

arxiv:1212.1010 v1 · 2012-12-05 · 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{P5DN3GMBJY5D6MZXDZS6M7AKPY}

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	2026-05-18T01:22:25.902119Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7f46dd99814e3a3f33371e65e67c0a7e19c1cf7914e48eeec1b6fe4134b72089

Aliases

arxiv: 1212.1010 · arxiv_version: 1212.1010v1 · doi: 10.48550/arxiv.1212.1010 · pith_short_12: P5DN3GMBJY5D · pith_short_16: P5DN3GMBJY5D6MZX · pith_short_8: P5DN3GMB

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/P5DN3GMBJY5D6MZXDZS6M7AKPY \
  | 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: 7f46dd99814e3a3f33371e65e67c0a7e19c1cf7914e48eeec1b6fe4134b72089

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f63807d257be225f55134d17286548c04f37da570f856518e52089d71998d77e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-12-05T12:33:16Z",
    "title_canon_sha256": "6ec2451e46d33f132612c26f7b84565c46528c04995b61e198e9af8b41f70b59"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.1010",
    "kind": "arxiv",
    "version": 1
  }
}