Pith Number

pith:L4B2Y3XP

pith:2014:L4B2Y3XPZF34IJESMCFZAPMAQP

not attested not anchored not stored refs pending

A volume estimate for the set of stable lattices

Barak Weiss, Uri Shapira

arxiv:1408.1248 v1 · 2014-08-06 · math.NT · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{L4B2Y3XPZF34IJESMCFZAPMAQP}

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	2026-05-18T02:45:47.835689Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5f03ac6eefc977c42492608b903d8083fef6732f1736f64a4aa2c7819cd7ee6c

Aliases

arxiv: 1408.1248 · arxiv_version: 1408.1248v1 · doi: 10.48550/arxiv.1408.1248 · pith_short_12: L4B2Y3XPZF34 · pith_short_16: L4B2Y3XPZF34IJES · pith_short_8: L4B2Y3XP

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/L4B2Y3XPZF34IJESMCFZAPMAQP \
  | 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: 5f03ac6eefc977c42492608b903d8083fef6732f1736f64a4aa2c7819cd7ee6c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "34186d2a14a6569c07173fd9a1a9048db134a2def299c21464feac9bb9413f67",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2014-08-06T11:28:28Z",
    "title_canon_sha256": "20de75b4e5782f590ae05cef7b9c292527a183c0c4b778a9f8ed7f1251289d89"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1408.1248",
    "kind": "arxiv",
    "version": 1
  }
}