Pith Number

pith:ULKZVSLI

pith:2013:ULKZVSLIZZCP5GUGGV5JCZT7RX

not attested not anchored not stored refs pending

Euler, Goldbach, and "Fermat's Theorem"

Franz Lemmermeyer

arxiv:1310.6605 v1 · 2013-10-24 · 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{ULKZVSLIZZCP5GUGGV5JCZT7RX}

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	2026-05-18T03:09:08.962673Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a2d59ac968ce44fe9a86357a91667f8ddf5f44940e576f4e5d003df8c39f2c97

Aliases

arxiv: 1310.6605 · arxiv_version: 1310.6605v1 · doi: 10.48550/arxiv.1310.6605 · pith_short_12: ULKZVSLIZZCP · pith_short_16: ULKZVSLIZZCP5GUG · pith_short_8: ULKZVSLI

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/ULKZVSLIZZCP5GUGGV5JCZT7RX \
  | 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: a2d59ac968ce44fe9a86357a91667f8ddf5f44940e576f4e5d003df8c39f2c97

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a1a7eb145c5055d9bdf04a50c53a135c341a703e437abbf129b0504a17f486a8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-10-24T13:19:03Z",
    "title_canon_sha256": "a633f5af026600305c113f4bd9dd766b46fe73d5f705fdd490f2e9c4a91ba6d4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.6605",
    "kind": "arxiv",
    "version": 1
  }
}