Pith Number

pith:W5TJ6Z7O

pith:2004:W5TJ6Z7OXYGYWTH77R6OZ2KM4Y

not attested not anchored not stored refs pending

Niemeier Lattices and K3 Groups

De-Qi Zhang

arxiv:math/0408106 v1 · 2004-08-09 · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{W5TJ6Z7OXYGYWTH77R6OZ2KM4Y}

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	2026-05-18T00:12:57.517839Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b7669f67eebe0d8b4cfffc7cece94ce632eb0e5579e22ab04f6c80dd9f8431a8

Aliases

arxiv: math/0408106 · arxiv_version: math/0408106v1 · doi: 10.48550/arxiv.math/0408106 · pith_short_12: W5TJ6Z7OXYGY · pith_short_16: W5TJ6Z7OXYGYWTH7 · pith_short_8: W5TJ6Z7O

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/W5TJ6Z7OXYGYWTH77R6OZ2KM4Y \
  | 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: b7669f67eebe0d8b4cfffc7cece94ce632eb0e5579e22ab04f6c80dd9f8431a8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9341a105a21fb00bb22b455a71f911efee2acc10916c0ef0e3eb8cd17a5681e4",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.AG",
    "submitted_at": "2004-08-09T04:52:56Z",
    "title_canon_sha256": "08cb9f733b70dba785e4f5f540644a0e382661c8b9cd9c655b973401c171b6cb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0408106",
    "kind": "arxiv",
    "version": 1
  }
}