Pith Number

pith:CVXGG3CV

pith:2006:CVXGG3CVF6F2FD3FKSA6VB6NFN

not attested not anchored not stored refs pending

Quantum hyperbolic geometry

Riccardo Benedetti, Stephane Baseilhac

arxiv:math/0611504 v1 · 2006-11-16 · 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{CVXGG3CVF6F2FD3FKSA6VB6NFN}

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	2026-05-18T02:41:26.695093Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

156e636c552f8ba28f655481ea87cd2b7e8e84dd99f11a7274ebb7a4d89891dd

Aliases

arxiv: math/0611504 · arxiv_version: math/0611504v1 · doi: 10.48550/arxiv.math/0611504 · pith_short_12: CVXGG3CVF6F2 · pith_short_16: CVXGG3CVF6F2FD3F · pith_short_8: CVXGG3CV

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/CVXGG3CVF6F2FD3FKSA6VB6NFN \
  | 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: 156e636c552f8ba28f655481ea87cd2b7e8e84dd99f11a7274ebb7a4d89891dd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e65d1aada34b8442b9c60335440b8cb57483b531395f8aafa050528bbe610577",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.GT",
    "submitted_at": "2006-11-16T15:52:24Z",
    "title_canon_sha256": "d91d61beece4e4d75103cbd83e5b4d4f09785d0291dca5a5ba4b27664335d46a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0611504",
    "kind": "arxiv",
    "version": 1
  }
}