Pith Number

pith:77OBRKA7

pith:2010:77OBRKA7TBTNIFBKQYMFTS3BAS

not attested not anchored not stored refs pending

Infinite generation of non-cocompact lattices on right-angled buildings

Anne Thomas, Kevin Wortman

arxiv:1009.4235 v2 · 2010-09-22 · 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{77OBRKA7TBTNIFBKQYMFTS3BAS}

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	2026-05-18T02:41:50.731633Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ffdc18a81f9866d4142a861859cb6104a7fe543667bcb74f7a9675185e8ba0b9

Aliases

arxiv: 1009.4235 · arxiv_version: 1009.4235v2 · doi: 10.48550/arxiv.1009.4235 · pith_short_12: 77OBRKA7TBTN · pith_short_16: 77OBRKA7TBTNIFBK · pith_short_8: 77OBRKA7

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/77OBRKA7TBTNIFBKQYMFTS3BAS \
  | 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: ffdc18a81f9866d4142a861859cb6104a7fe543667bcb74f7a9675185e8ba0b9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7d53e49bd44ccf50f351b5c9083b29fc7b1f929e91931f97c4bff46bbdab7912",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2010-09-22T00:02:59Z",
    "title_canon_sha256": "a1a6f0accf964f1ba048d0f4e76788a8d00a52ab8e790f282e22ca171e4cd192"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.4235",
    "kind": "arxiv",
    "version": 2
  }
}