Pith Number

pith:FOC5CJEQ

pith:2008:FOC5CJEQTPO7VLVSJOX3SO5KIS

not attested not anchored not stored refs pending

The complex Lorentzian Leech lattice and the bimonster (II)

Tathagata Basak

arxiv:0811.0062 v3 · 2008-11-01 · math.GR · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FOC5CJEQTPO7VLVSJOX3SO5KIS}

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	2026-05-18T03:58:26.834864Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2b85d124909bddfaaeb24bafb93baa4485b2afdbaed5212c61645fa9344eaf4e

Aliases

arxiv: 0811.0062 · arxiv_version: 0811.0062v3 · doi: 10.48550/arxiv.0811.0062 · pith_short_12: FOC5CJEQTPO7 · pith_short_16: FOC5CJEQTPO7VLVS · pith_short_8: FOC5CJEQ

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/FOC5CJEQTPO7VLVSJOX3SO5KIS \
  | 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: 2b85d124909bddfaaeb24bafb93baa4485b2afdbaed5212c61645fa9344eaf4e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "69cecfe913a55e948747e16c4370dc15d1ca37a032f970ff8f03cc5c0ee02c32",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2008-11-01T06:21:14Z",
    "title_canon_sha256": "14e2382fb0999372c254d06f8d2d0651f19739fb38ca09d85e760ea132e78284"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0811.0062",
    "kind": "arxiv",
    "version": 3
  }
}