Pith Number

pith:6U3WNGC5

pith:2011:6U3WNGC5R5XQBD4HZ5EB4ENTL5

not attested not anchored not stored refs pending

The generalized Pillai equation $\pm r a^x \pm s b^y = c$

Reese Scott, Robert Styer

arxiv:1102.4834 v1 · 2011-02-22 · 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{6U3WNGC5R5XQBD4HZ5EB4ENTL5}

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	2026-05-18T04:28:07.245994Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f53766985d8f6f008f87cf481e11b35f453791eefdfa5c47b0f66bfb6ca14833

Aliases

arxiv: 1102.4834 · arxiv_version: 1102.4834v1 · doi: 10.48550/arxiv.1102.4834 · pith_short_12: 6U3WNGC5R5XQ · pith_short_16: 6U3WNGC5R5XQBD4H · pith_short_8: 6U3WNGC5

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/6U3WNGC5R5XQBD4HZ5EB4ENTL5 \
  | 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: f53766985d8f6f008f87cf481e11b35f453791eefdfa5c47b0f66bfb6ca14833

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "64fdff446e3ccb815335de6a34cd1454a017c08626a99635bfe13adaff2c0e92",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2011-02-22T03:45:07Z",
    "title_canon_sha256": "c3c74a71bdf17fd923ef246b411433a8bda1c8277b2423dd7778c3f1481ec5cb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.4834",
    "kind": "arxiv",
    "version": 1
  }
}