Pith Number

pith:LCZBRHXP

pith:2011:LCZBRHXPMXXXO4ZZUDWZYPFAVJ

not attested not anchored not stored refs pending

Generalised triangle groups of type (3,5,2)

James Howie

arxiv:1102.2073 v1 · 2011-02-10 · 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{LCZBRHXPMXXXO4ZZUDWZYPFAVJ}

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	2026-05-18T04:29:34.327560Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

58b2189eef65ef777339a0ed9c3ca0aa7983ad08921a0776145f2c7b2ed378ed

Aliases

arxiv: 1102.2073 · arxiv_version: 1102.2073v1 · doi: 10.48550/arxiv.1102.2073 · pith_short_12: LCZBRHXPMXXX · pith_short_16: LCZBRHXPMXXXO4ZZ · pith_short_8: LCZBRHXP

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/LCZBRHXPMXXXO4ZZUDWZYPFAVJ \
  | 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: 58b2189eef65ef777339a0ed9c3ca0aa7983ad08921a0776145f2c7b2ed378ed

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "082ba3b2636485d199b6102e6abfef552727b1886dddbf55bd2b4bb55e84bf73",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2011-02-10T10:39:41Z",
    "title_canon_sha256": "9d4abc6c66ad0466c37f60e17d9de840f3af0305925f2ac42c7816594a52c5e4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.2073",
    "kind": "arxiv",
    "version": 1
  }
}