Pith Number

pith:ZY2KO5XW

pith:2011:ZY2KO5XWD2DEF7B4HPD23DMODU

not attested not anchored not stored refs pending

Diagonal lattices and rootless $EE_8$ pairs

Ching Hung Lam, Jr., Robert L. Griess

arxiv:1101.2188 v1 · 2011-01-11 · 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{ZY2KO5XWD2DEF7B4HPD23DMODU}

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	2026-05-18T03:48:00.890195Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ce34a776f61e8642fc3c3bc7ad8d8e1d34bece38d2959c5dd60c5dbcd16f2441

Aliases

arxiv: 1101.2188 · arxiv_version: 1101.2188v1 · doi: 10.48550/arxiv.1101.2188 · pith_short_12: ZY2KO5XWD2DE · pith_short_16: ZY2KO5XWD2DEF7B4 · pith_short_8: ZY2KO5XW

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/ZY2KO5XWD2DEF7B4HPD23DMODU \
  | 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: ce34a776f61e8642fc3c3bc7ad8d8e1d34bece38d2959c5dd60c5dbcd16f2441

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b0946b71450b1df89355c4825b471be21836b5daf19f0a59e2dd8ed76da5234d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2011-01-11T19:50:43Z",
    "title_canon_sha256": "6b53143f30f39176107995159f8f40a89e959afbe0a8561e2ffd66839e24903e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.2188",
    "kind": "arxiv",
    "version": 1
  }
}