Pith Number

pith:DS6T2TZ2

pith:2014:DS6T2TZ2SF5SQAKNAURENKJMVX

not attested not anchored not stored refs pending

Spherical Designs and Heights of Euclidean Lattices

Giovanni Lazzarini, Renaud Coulangeon

arxiv:1401.2891 v1 · 2014-01-13 · 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{DS6T2TZ2SF5SQAKNAURENKJMVX}

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	2026-05-18T03:02:31.600667Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1cbd3d4f3a917b28014d052246a92cadcdf5f1bc9e16a00eee577e6cea05e56e

Aliases

arxiv: 1401.2891 · arxiv_version: 1401.2891v1 · doi: 10.48550/arxiv.1401.2891 · pith_short_12: DS6T2TZ2SF5S · pith_short_16: DS6T2TZ2SF5SQAKN · pith_short_8: DS6T2TZ2

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/DS6T2TZ2SF5SQAKNAURENKJMVX \
  | 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: 1cbd3d4f3a917b28014d052246a92cadcdf5f1bc9e16a00eee577e6cea05e56e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7abb2d927f500d42b22acce0d8e363a559befb13707a5dab25933fe3b4841b08",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2014-01-13T16:07:44Z",
    "title_canon_sha256": "f14b0a1424cb528092339a97bf4b199f0869c59b3cdcda6f641c70f34ac99cd9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1401.2891",
    "kind": "arxiv",
    "version": 1
  }
}