Pith Number

pith:RTFIKGHZ

pith:2015:RTFIKGHZA4G2ITW7UN7KCKGHZS

not attested not anchored not stored refs pending

Numbers and the Heights of their Happiness

Andrew Read-McFarland, May Mei

arxiv:1511.01441 v4 · 2015-11-04 · 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{RTFIKGHZA4G2ITW7UN7KCKGHZS}

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	2026-05-18T00:21:00.029430Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8cca8518f9070da44edfa37ea128c7cca864abceef3f2223472ad81a5cd5e7b8

Aliases

arxiv: 1511.01441 · arxiv_version: 1511.01441v4 · doi: 10.48550/arxiv.1511.01441 · pith_short_12: RTFIKGHZA4G2 · pith_short_16: RTFIKGHZA4G2ITW7 · pith_short_8: RTFIKGHZ

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/RTFIKGHZA4G2ITW7UN7KCKGHZS \
  | 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: 8cca8518f9070da44edfa37ea128c7cca864abceef3f2223472ad81a5cd5e7b8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4b3083806a1afd158b4a50c26c1f85bc124b82d0c80a509656e080daecae21d9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-11-04T19:16:52Z",
    "title_canon_sha256": "10469f88405330f1e1658d5e70622cec7c35bded7d7c4a831f2d977f6bc032b0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.01441",
    "kind": "arxiv",
    "version": 4
  }
}