Pith Number

pith:2SSM7NCL

pith:2012:2SSM7NCLGRV43D5FSWZ4F3CG6O

not attested not anchored not stored refs pending

Volume growth of quasihyperbolic balls

Matti Vuorinen, Riku Kl\'en, Ville Suomala, Xiaohui Zhang

arxiv:1208.5355 v3 · 2012-08-27 · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2SSM7NCLGRV43D5FSWZ4F3CG6O}

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	2026-05-18T00:39:29.393839Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d4a4cfb44b346bcd8fa595b3c2ec46f3a28416f7f632380b4bd913e28fd599da

Aliases

arxiv: 1208.5355 · arxiv_version: 1208.5355v3 · doi: 10.48550/arxiv.1208.5355 · pith_short_12: 2SSM7NCLGRV4 · pith_short_16: 2SSM7NCLGRV43D5F · pith_short_8: 2SSM7NCL

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/2SSM7NCLGRV43D5FSWZ4F3CG6O \
  | 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: d4a4cfb44b346bcd8fa595b3c2ec46f3a28416f7f632380b4bd913e28fd599da

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6536cae538b350a79de70249b3bc8705cd2aa8e497c935f49f0b2706cdbe5e3b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2012-08-27T10:26:08Z",
    "title_canon_sha256": "f2cbd82e3b18ba364bd869f9d48054f63d0ac82f5875c945f82819cff99f90b9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.5355",
    "kind": "arxiv",
    "version": 3
  }
}