Pith Number

pith:UPXYB7C7

pith:2011:UPXYB7C7X7MSXJXXPUF25ANAR5

not attested not anchored not stored refs pending

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

Reese Scott, Robert Styer

arxiv:1102.4833 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{UPXYB7C7X7MSXJXXPUF25ANAR5}

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	2026-05-18T04:28:07.253836Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a3ef80fc5fbfd92ba6f77d0bae81a08f705afcaa0c3ed2a75d285ee6985a283d

Aliases

arxiv: 1102.4833 · arxiv_version: 1102.4833v1 · doi: 10.48550/arxiv.1102.4833 · pith_short_12: UPXYB7C7X7MS · pith_short_16: UPXYB7C7X7MSXJXX · pith_short_8: UPXYB7C7

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/UPXYB7C7X7MSXJXXPUF25ANAR5 \
  | 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: a3ef80fc5fbfd92ba6f77d0bae81a08f705afcaa0c3ed2a75d285ee6985a283d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b727a15687193752e9212859a0b79e0102ded7188e4fc9778a699b931438727d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2011-02-22T03:18:42Z",
    "title_canon_sha256": "7bcaa10f13e40212256f708d74d91e9096d16b2435fd6fc4fad253201b59d663"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.4833",
    "kind": "arxiv",
    "version": 1
  }
}