Pith Number

pith:URHMYYDW

pith:2011:URHMYYDW4NV7ZEMTPRRUISX5FA

not attested not anchored not stored refs pending

Handling a large bound for a problem on the generalized Pillai equation $\pm r a^x \pm s b^y = c$

Reese Scott, Robert Styer

arxiv:1112.4547 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{URHMYYDW4NV7ZEMTPRRUISX5FA}

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	2026-05-18T04:05:58.603924Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a44ecc6076e36bfc91937c63444afd2815e296fda6a38b4db6d85354294ee785

Aliases

arxiv: 1112.4547 · arxiv_version: 1112.4547v1 · doi: 10.48550/arxiv.1112.4547 · pith_short_12: URHMYYDW4NV7 · pith_short_16: URHMYYDW4NV7ZEMT · pith_short_8: URHMYYDW

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/URHMYYDW4NV7ZEMTPRRUISX5FA \
  | 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: a44ecc6076e36bfc91937c63444afd2815e296fda6a38b4db6d85354294ee785

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9b7208f255b9a86f5660df307613a773934b8665f3788000f3024b651a8e5e2b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2011-12-20T02:34:24Z",
    "title_canon_sha256": "2d7e7c462a59f8ee6a891a0f7d5eb7e2a9bf1d811aff89905fd850cf5a7ced5a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.4547",
    "kind": "arxiv",
    "version": 1
  }
}