Pith Number

pith:3OIHWVEL

pith:2026:3OIHWVELA664HB2FNXYE7HMKRT

not attested not anchored not stored refs pending

Normalizers of lattices and isometry groups of arithmetic hyperbolic manifolds

Mikhail Belolipetsky, Tam Cheetham-West

arxiv:2607.28949 v1 · 2026-07-31 · math.GT · 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{3OIHWVELA664HB2FNXYE7HMKRT}

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	2026-08-03T01:17:33.053933Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

db907b548b07bdc387456df04f9d8a8cecaad444c17a006e0c100d4c8219539d

Aliases

arxiv: 2607.28949 · arxiv_version: 2607.28949v1 · doi: 10.48550/arxiv.2607.28949 · pith_short_12: 3OIHWVELA664 · pith_short_16: 3OIHWVELA664HB2F · pith_short_8: 3OIHWVEL

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/3OIHWVELA664HB2FNXYE7HMKRT \
  | 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: db907b548b07bdc387456df04f9d8a8cecaad444c17a006e0c100d4c8219539d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2abd809c613cf8f4cd9e4b83862fa6e3fe2ba577f01210e2dcd3c9abf09f5c84",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2026-07-31T02:11:30Z",
    "title_canon_sha256": "1b5ab8d96fad1334edd3479b347f6417ab126b27d0b3f00e8c74fcf922047fcc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.28949",
    "kind": "arxiv",
    "version": 1
  }
}