Pith Number

pith:CGZHKUZD

pith:2008:CGZHKUZDL5W2ITUBYROOLN7MLC

not attested not anchored not stored refs pending

Hyperbolic graphs of small complexity

Bruno Martelli, Carlo Petronio, Craig Hodgson, Damian Heard

arxiv:0804.4790 v1 · 2008-04-30 · math.GT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CGZHKUZDL5W2ITUBYROOLN7MLC}

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.

Cited by

1 paper in Pith

Triangulating quantum gravity in AdS$_3$

Receipt and verification

First computed	2026-07-04T15:11:15.785287Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

11b27553235f6da44e81c45ce5b7ec589c4627678a30829264fea5258411c59f

Aliases

arxiv: 0804.4790 · arxiv_version: 0804.4790v1 · doi: 10.48550/arxiv.0804.4790 · pith_short_12: CGZHKUZDL5W2 · pith_short_16: CGZHKUZDL5W2ITUB · pith_short_8: CGZHKUZD

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/CGZHKUZDL5W2ITUBYROOLN7MLC \
  | 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: 11b27553235f6da44e81c45ce5b7ec589c4627678a30829264fea5258411c59f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "80ff220e8f1a8eb8a3cb9d300d819ed206703b3f397f8e583da6f9bd12d75de0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2008-04-30T11:09:22Z",
    "title_canon_sha256": "12759a6d7d75fafb4143bf24fc3052c54429f29882f3dc5d3baec07ee85f4887"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0804.4790",
    "kind": "arxiv",
    "version": 1
  }
}