Pith Number

pith:7NJMMNZH

pith:2018:7NJMMNZHHSLPUZFYZPR6TBS2MW

not attested not anchored not stored refs pending

Lattices in $\mathrm{PU}(n,1)$ that are not profinitely rigid

Matthew Stover

arxiv:1808.07344 v1 · 2018-08-22 · 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{7NJMMNZHHSLPUZFYZPR6TBS2MW}

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	2026-05-18T00:07:29.110991Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fb52c637273c96fa64b8cbe3e9865a6597075692f4b7782c10d68d0d6da73ba0

Aliases

arxiv: 1808.07344 · arxiv_version: 1808.07344v1 · doi: 10.48550/arxiv.1808.07344 · pith_short_12: 7NJMMNZHHSLP · pith_short_16: 7NJMMNZHHSLPUZFY · pith_short_8: 7NJMMNZH

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/7NJMMNZHHSLPUZFYZPR6TBS2MW \
  | 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: fb52c637273c96fa64b8cbe3e9865a6597075692f4b7782c10d68d0d6da73ba0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9088f16f63dab4fe578038f4e0945001ab2e39f111b63d039da1c7ea5810ed2d",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2018-08-22T13:12:56Z",
    "title_canon_sha256": "d85a8a00adfc3ef55fd5bfa4f2f5e831af14f053da8486c5d9ccc9c5b9e3f746"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.07344",
    "kind": "arxiv",
    "version": 1
  }
}