Pith Number

pith:BRXDV6UB

pith:2012:BRXDV6UBVSNHESHJLE7PDD3Z2P

not attested not anchored not stored refs pending

Moonshine paths for 3A and 6A nodes of the extended E8-diagram

Ching Hung Lam, Robert L. Griess Jr.

arxiv:1205.6017 v1 · 2012-05-28 · math.QA · 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{BRXDV6UBVSNHESHJLE7PDD3Z2P}

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	2026-05-18T03:54:48.538088Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0c6e3afa81ac9a7248e9593ef18f79d3cbc37be297945714b3a6922b419ba747

Aliases

arxiv: 1205.6017 · arxiv_version: 1205.6017v1 · doi: 10.48550/arxiv.1205.6017 · pith_short_12: BRXDV6UBVSNH · pith_short_16: BRXDV6UBVSNHESHJ · pith_short_8: BRXDV6UB

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/BRXDV6UBVSNHESHJLE7PDD3Z2P \
  | 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: 0c6e3afa81ac9a7248e9593ef18f79d3cbc37be297945714b3a6922b419ba747

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "64f1883fa4228c118083d6c379fcef4cd244b2677e938e631876c27d5aac2965",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2012-05-28T01:53:37Z",
    "title_canon_sha256": "7f33dcb9de4f22a101ecee0ba532f376973200ed0988e1cf1d94f8b1d85ca32a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.6017",
    "kind": "arxiv",
    "version": 1
  }
}