Pith Number

pith:KKYFPQRS

pith:2013:KKYFPQRSR3I3P3X4YWYO5TRFOO

not attested not anchored not stored refs pending

Distribution of integral lattice points in an ellipsoid with a diophantine center

Hyunsuk Kang, Jiyoung Han, Seonhee Lim, Yong-Cheol Kim

arxiv:1309.5838 v3 · 2013-09-11 · math.NT · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KKYFPQRSR3I3P3X4YWYO5TRFOO}

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	2026-05-18T03:07:13.845381Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

52b057c2328ed1b7eefcc5b0eece2573a50c1824024528fb53323ae083637927

Aliases

arxiv: 1309.5838 · arxiv_version: 1309.5838v3 · doi: 10.48550/arxiv.1309.5838 · pith_short_12: KKYFPQRSR3I3 · pith_short_16: KKYFPQRSR3I3P3X4 · pith_short_8: KKYFPQRS

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/KKYFPQRSR3I3P3X4YWYO5TRFOO \
  | 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: 52b057c2328ed1b7eefcc5b0eece2573a50c1824024528fb53323ae083637927

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f544daec9ccd8785c8d22bfce4e1802e74fd0bc6e04cb60cd572e7bf0b9f077e",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-09-11T12:18:58Z",
    "title_canon_sha256": "5499155cb0667dd1fa2ea1beb35d5b8448f1c97601e8a096716634682ec256a4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.5838",
    "kind": "arxiv",
    "version": 3
  }
}