Pith Number

pith:XDGJR3UT

pith:2011:XDGJR3UTJRT7DG5VLRLRCWC3FD

not attested not anchored not stored refs pending

Fermat-type equations of signature (13,13,p) via Hilbert cuspforms

Luis Dieulefait, Nuno Freitas

arxiv:1112.4521 v2 · 2011-12-19 · 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{XDGJR3UTJRT7DG5VLRLRCWC3FD}

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	2026-05-18T04:03:42.633825Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b8cc98ee934c67f19bb55c5711585b28fdd0209a8dfc94d99ac6a41eb8b95c0e

Aliases

arxiv: 1112.4521 · arxiv_version: 1112.4521v2 · doi: 10.48550/arxiv.1112.4521 · pith_short_12: XDGJR3UTJRT7 · pith_short_16: XDGJR3UTJRT7DG5V · pith_short_8: XDGJR3UT

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/XDGJR3UTJRT7DG5VLRLRCWC3FD \
  | 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: b8cc98ee934c67f19bb55c5711585b28fdd0209a8dfc94d99ac6a41eb8b95c0e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b2a117de3c91213628c80f92c1f46697375abedde4ca154645fd1265f4903f07",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2011-12-19T22:34:09Z",
    "title_canon_sha256": "e040af8aa7881873618d823253e8d00957b63f477abc27e7b0c0f8787a6c75c2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.4521",
    "kind": "arxiv",
    "version": 2
  }
}