Pith Number

pith:NNZ7HHHB

pith:2010:NNZ7HHHB6WVBBE6VZDVOKXUKGJ

not attested not anchored not stored refs pending

Residues of functions of Cayley-Dickson variables and Fermat's last theorem

S.V. Ludkovsky

arxiv:1010.2712 v2 · 2010-10-13 · math.GM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NNZ7HHHB6WVBBE6VZDVOKXUKGJ}

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	2026-05-17T23:58:15.549708Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6b73f39ce1f5aa1093d5c8eae55e8a3272da3cbd36d810dbc15041d35e23ded6

Aliases

arxiv: 1010.2712 · arxiv_version: 1010.2712v2 · doi: 10.48550/arxiv.1010.2712 · pith_short_12: NNZ7HHHB6WVB · pith_short_16: NNZ7HHHB6WVBBE6V · pith_short_8: NNZ7HHHB

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/NNZ7HHHB6WVBBE6VZDVOKXUKGJ \
  | 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: 6b73f39ce1f5aa1093d5c8eae55e8a3272da3cbd36d810dbc15041d35e23ded6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "340d63014e48aa6e90675bee782246ae4dbb9cceed92b4bc698803ece7788a73",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GM",
    "submitted_at": "2010-10-13T17:30:45Z",
    "title_canon_sha256": "e55931aa9ffd17a6da5b111e23583262357e09f440bece183b7d5fc4d90016ea"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.2712",
    "kind": "arxiv",
    "version": 2
  }
}