Pith Number

pith:SKJ2YMI7

pith:2010:SKJ2YMI74DCUIKIJMZX5GNYZ5X

not attested not anchored not stored refs pending

On the distribution of angles between the N shortest vectors in a random lattice

Anders S\"odergren

arxiv:1012.3376 v1 · 2010-12-15 · math.NT · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SKJ2YMI74DCUIKIJMZX5GNYZ5X}

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	2026-05-18T02:58:01.367251Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9293ac311fe0c5442909666fd33719edd9ceaebb5cb122051264e936a1f433d3

Aliases

arxiv: 1012.3376 · arxiv_version: 1012.3376v1 · doi: 10.48550/arxiv.1012.3376 · pith_short_12: SKJ2YMI74DCU · pith_short_16: SKJ2YMI74DCUIKIJ · pith_short_8: SKJ2YMI7

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/SKJ2YMI74DCUIKIJMZX5GNYZ5X \
  | 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: 9293ac311fe0c5442909666fd33719edd9ceaebb5cb122051264e936a1f433d3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6e5c6e772f6b896eac44d0f8427e62131959a3ed77547d9ba2ef915b9951cb74",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2010-12-15T16:22:40Z",
    "title_canon_sha256": "30d61ffbe94f35a70c5360164c8e7390148e4b5762201212cdc0adc02e28b50c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.3376",
    "kind": "arxiv",
    "version": 1
  }
}