Pith Number

pith:EMGYXTSN

pith:2005:EMGYXTSNGA3OZIREFSKY5IMLC7

not attested not anchored not stored refs pending

Reflection group of the quaternionic Lorentzian Leech lattice

Tathagata Basak

arxiv:math/0511650 v3 · 2005-11-27 · 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{EMGYXTSNGA3OZIREFSKY5IMLC7}

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	2026-05-18T01:05:22.888900Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

230d8bce4d3036eca2242c958ea18b17fbb6527cff3dbd27a4f335cfea12570a

Aliases

arxiv: math/0511650 · arxiv_version: math/0511650v3 · doi: 10.48550/arxiv.math/0511650 · pith_short_12: EMGYXTSNGA3O · pith_short_16: EMGYXTSNGA3OZIRE · pith_short_8: EMGYXTSN

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/EMGYXTSNGA3OZIREFSKY5IMLC7 \
  | 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: 230d8bce4d3036eca2242c958ea18b17fbb6527cff3dbd27a4f335cfea12570a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "142f00abab2f72ad187262fc512a8ba292728afac636f9f74df2599a3492def9",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "",
    "primary_cat": "math.GR",
    "submitted_at": "2005-11-27T05:07:59Z",
    "title_canon_sha256": "f6824222b65beed64ed0d72abee5e8655f05e2fe8ed18543a1e3d251af27d6df"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0511650",
    "kind": "arxiv",
    "version": 3
  }
}