Pith Number

pith:ZPQAE74V

pith:2009:ZPQAE74VOOLTT2AIZIJI4Z4M22

not attested not anchored not stored refs pending

Smooth solutions to the abc equation: the xyz Conjecture

Jeffrey C. Lagarias, K. Soundararajan

arxiv:0911.4147 v4 · 2009-11-21 · 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{ZPQAE74VOOLTT2AIZIJI4Z4M22}

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	2026-05-18T04:18:43.837607Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cbe0027f95739739e808ca128e678cd68f6f4d51cbbf7f8b8de5e0eee750a8b4

Aliases

arxiv: 0911.4147 · arxiv_version: 0911.4147v4 · doi: 10.48550/arxiv.0911.4147 · pith_short_12: ZPQAE74VOOLT · pith_short_16: ZPQAE74VOOLTT2AI · pith_short_8: ZPQAE74V

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/ZPQAE74VOOLTT2AIZIJI4Z4M22 \
  | 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: cbe0027f95739739e808ca128e678cd68f6f4d51cbbf7f8b8de5e0eee750a8b4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "099f23723cd5d9cfcc210425e65eb3657cfe5707d80c95ceb6ce635697889e2e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2009-11-21T00:07:59Z",
    "title_canon_sha256": "b1dc3a5a6dac7b65e0408a0448f89cdf28307269aeb5858b4d968fb8c4fe390a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0911.4147",
    "kind": "arxiv",
    "version": 4
  }
}