Pith Number

pith:XX7WWPN3

pith:2011:XX7WWPN3ZWI6RNQWUNPQ3FAX5C

not attested not anchored not stored refs pending

The equation $|p^x \pm q^y| = c$ in nonnegative $x$, $y$

Reese Scott, Robert Styer

arxiv:1112.4548 v1 · 2011-12-20 · 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{XX7WWPN3ZWI6RNQWUNPQ3FAX5C}

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	2026-05-18T04:05:58.595435Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bdff6b3dbbcd91e8b616a35f0d9417e8a1265d056f15f202a28f75f751bf5760

Aliases

arxiv: 1112.4548 · arxiv_version: 1112.4548v1 · doi: 10.48550/arxiv.1112.4548 · pith_short_12: XX7WWPN3ZWI6 · pith_short_16: XX7WWPN3ZWI6RNQW · pith_short_8: XX7WWPN3

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/XX7WWPN3ZWI6RNQWUNPQ3FAX5C \
  | 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: bdff6b3dbbcd91e8b616a35f0d9417e8a1265d056f15f202a28f75f751bf5760

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d9c7c863b34834c74c1162c3b7366e09e12ba855357c969dea91598d80c18640",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2011-12-20T02:42:42Z",
    "title_canon_sha256": "93ba311b94a564029c432b91cbf6520807726d35a3db82e11e148a67da43b4ac"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.4548",
    "kind": "arxiv",
    "version": 1
  }
}