Pith Number

pith:XPTLDSHQ

pith:2016:XPTLDSHQZEWGWFDRHKYODWQT6Y

not attested not anchored not stored refs pending

Every positive integer is a sum of three palindromes

Florian Luca, Javier Cilleruelo, Lewis Baxter

arxiv:1602.06208 v2 · 2016-02-19 · math.NT · math.CO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XPTLDSHQZEWGWFDRHKYODWQT6Y}

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	2026-05-18T00:42:13.271707Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bbe6b1c8f0c92c6b14713ab0e1da13f60d3951ee0b21f02ebc5186f6d234760d

Aliases

arxiv: 1602.06208 · arxiv_version: 1602.06208v2 · doi: 10.48550/arxiv.1602.06208 · pith_short_12: XPTLDSHQZEWG · pith_short_16: XPTLDSHQZEWGWFDR · pith_short_8: XPTLDSHQ

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/XPTLDSHQZEWGWFDRHKYODWQT6Y \
  | 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: bbe6b1c8f0c92c6b14713ab0e1da13f60d3951ee0b21f02ebc5186f6d234760d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b8c83d86a1a09940bbfe272fa57725436c02a3e43e937fb2d6abac8275f762c3",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-02-19T16:23:43Z",
    "title_canon_sha256": "77877f9a1524ceb155eb577301922f16d008e91c3c436cd186f4f9a74f63bf74"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.06208",
    "kind": "arxiv",
    "version": 2
  }
}