Pith Number

pith:LEDWJTYH

pith:2015:LEDWJTYHDQTHXYR5RQ6XEB3QOZ

not attested not anchored not stored refs pending

Every natural number is the sum of forty-nine palindromes

William D. Banks

arxiv:1508.04721 v1 · 2015-08-19 · 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{LEDWJTYHDQTHXYR5RQ6XEB3QOZ}

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	2026-05-18T01:35:02.000359Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

590764cf071c267be23d8c3d72077076782b14dd678c9e040312c5a6d35cae2f

Aliases

arxiv: 1508.04721 · arxiv_version: 1508.04721v1 · doi: 10.48550/arxiv.1508.04721 · pith_short_12: LEDWJTYHDQTH · pith_short_16: LEDWJTYHDQTHXYR5 · pith_short_8: LEDWJTYH

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/LEDWJTYHDQTHXYR5RQ6XEB3QOZ \
  | 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: 590764cf071c267be23d8c3d72077076782b14dd678c9e040312c5a6d35cae2f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ba20d0bfbcbb3a92a1f89cd0af7cfedb89ee80850c74bf7fbd6ec712e48ef453",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-08-19T17:58:26Z",
    "title_canon_sha256": "910b92e1146af7f9c87ef6f6ff3488a5d9c001501e98743eb636d05697ece2f6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.04721",
    "kind": "arxiv",
    "version": 1
  }
}