Pith Number

pith:5AU5MFWD

pith:2018:5AU5MFWDYKELKBFHWTKKSYNRDV

not attested not anchored not stored refs pending

The diophantine exponent of the $\mathbb{Z}/q\mathbb{Z}$ points of $S^{d-2}\subset S^d$

Mostafa W. Hassan, Naser T. Sardari, Rodrigo Smith, Xiaohan Zhu, Yuchen Mao

arxiv:1811.06831 v1 · 2018-11-12 · 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{5AU5MFWDYKELKBFHWTKKSYNRDV}

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	2026-05-18T00:00:33.768063Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e829d616c3c288b504a7b4d4a961b11d4aca8fe0462eb129c63cbf65be02f113

Aliases

arxiv: 1811.06831 · arxiv_version: 1811.06831v1 · doi: 10.48550/arxiv.1811.06831 · pith_short_12: 5AU5MFWDYKEL · pith_short_16: 5AU5MFWDYKELKBFH · pith_short_8: 5AU5MFWD

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/5AU5MFWDYKELKBFHWTKKSYNRDV \
  | 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: e829d616c3c288b504a7b4d4a961b11d4aca8fe0462eb129c63cbf65be02f113

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "97ed8f8ba6b07805dcb6b0a9dc13f02dedf35be7a967d7797e962c25a66fd210",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2018-11-12T00:21:33Z",
    "title_canon_sha256": "4a52b84b1b8015c1396ee181e4c531e6e08e44aee55488593b93b881e846ea2d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1811.06831",
    "kind": "arxiv",
    "version": 1
  }
}