Pith Number

pith:7RG7SKOT

pith:2012:7RG7SKOTFUZHRVLERUCRWA2A4E

not attested not anchored not stored refs pending

On a conjecture of Helleseth

IMATH), Philippe Langevin (IMATH), Yves Aubry (IML

arxiv:1212.6553 v1 · 2012-12-28 · 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{7RG7SKOTFUZHRVLERUCRWA2A4E}

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	2026-05-18T03:37:31.591163Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fc4df929d32d3278d5648d051b0340e13e347c6e4dfa3384769d91d003b0a5ac

Aliases

arxiv: 1212.6553 · arxiv_version: 1212.6553v1 · doi: 10.48550/arxiv.1212.6553 · pith_short_12: 7RG7SKOTFUZH · pith_short_16: 7RG7SKOTFUZHRVLE · pith_short_8: 7RG7SKOT

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/7RG7SKOTFUZHRVLERUCRWA2A4E \
  | 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: fc4df929d32d3278d5648d051b0340e13e347c6e4dfa3384769d91d003b0a5ac

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b5af8360d897a094bf54a8471f58de832d91fb2d517821e304d25c3f44b2c413",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-12-28T18:53:55Z",
    "title_canon_sha256": "215fe0e29a21a607c921c0bce955346056419b6dc40c8296cbaee7b09320c6f5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.6553",
    "kind": "arxiv",
    "version": 1
  }
}