Pith Number

pith:3I7KAWZT

pith:2003:3I7KAWZT3K3LGMM3CHTZR43U5W

not attested not anchored not stored refs pending

The Alternating Group of degree 6 in Geometry of the Leech Lattice and K3 Surfaces

De-Qi Zhang, JongHae Keum, Keiji Oguiso

arxiv:math/0311462 v1 · 2003-11-26 · math.AG · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3I7KAWZT3K3LGMM3CHTZR43U5W}

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	2026-05-18T00:12:57.535546Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

da3ea05b33dab6b3319b11e798f374edad354691e7153c9b03223b90b21aa1b4

Aliases

arxiv: math/0311462 · arxiv_version: math/0311462v1 · doi: 10.48550/arxiv.math/0311462 · pith_short_12: 3I7KAWZT3K3L · pith_short_16: 3I7KAWZT3K3LGMM3 · pith_short_8: 3I7KAWZT

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/3I7KAWZT3K3LGMM3CHTZR43U5W \
  | 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: da3ea05b33dab6b3319b11e798f374edad354691e7153c9b03223b90b21aa1b4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "218a40ade0dcd8b61de6e71b7f25cad2aa40f1dfca46b6c40d32b2383e56696a",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "",
    "primary_cat": "math.AG",
    "submitted_at": "2003-11-26T07:03:21Z",
    "title_canon_sha256": "5f5b559be268965570009d877d61c720858822c704d63651cd9116c8d42ef9aa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0311462",
    "kind": "arxiv",
    "version": 1
  }
}