Pith Number

pith:2B7QQK4O

pith:2010:2B7QQK4OYIV536G3RYBM2HKRPI

not attested not anchored not stored refs pending

On the Poisson distribution of lengths of lattice vectors in a random lattice

Anders S\"odergren

arxiv:1001.3623 v2 · 2010-01-20 · 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{2B7QQK4OYIV536G3RYBM2HKRPI}

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	2026-05-18T04:07:17.997776Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d07f082b8ec22bddf8db8e02cd1d517a21bb3e029ece36d36505aa4226ca7b41

Aliases

arxiv: 1001.3623 · arxiv_version: 1001.3623v2 · doi: 10.48550/arxiv.1001.3623 · pith_short_12: 2B7QQK4OYIV5 · pith_short_16: 2B7QQK4OYIV536G3 · pith_short_8: 2B7QQK4O

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/2B7QQK4OYIV536G3RYBM2HKRPI \
  | 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: d07f082b8ec22bddf8db8e02cd1d517a21bb3e029ece36d36505aa4226ca7b41

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "73627ff3fbafbf18b982314454b296cf3d81ab930b49a2ff0dfbea336d41d25e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2010-01-20T15:44:59Z",
    "title_canon_sha256": "b00f8ad4a8a5b999ee789ca27f3047e656f4409ad24dcc41e60433b99159c07f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1001.3623",
    "kind": "arxiv",
    "version": 2
  }
}