Pith Number

pith:RD27GTTW

pith:2013:RD27GTTWD7TWAL5677RD2XVOQO

not attested not anchored not stored refs pending

Growth rates of cocompact hyperbolic Coxeter groups and 2-Salem numbers

Yuriko Umemoto

arxiv:1306.3443 v1 · 2013-06-14 · math.MG · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RD27GTTWD7TWAL5677RD2XVOQO}

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	2026-05-18T02:32:54.479121Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

88f5f34e761fe7602fbeffe23d5eae83826ebf5a42fa9fefeeeb8ad3a420183a

Aliases

arxiv: 1306.3443 · arxiv_version: 1306.3443v1 · doi: 10.48550/arxiv.1306.3443 · pith_short_12: RD27GTTWD7TW · pith_short_16: RD27GTTWD7TWAL56 · pith_short_8: RD27GTTW

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/RD27GTTWD7TWAL5677RD2XVOQO \
  | 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: 88f5f34e761fe7602fbeffe23d5eae83826ebf5a42fa9fefeeeb8ad3a420183a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f75042bbb5bfd16492b6f03bdcf03850f56d88f5f01b54e370c7e32c5d1be1eb",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2013-06-14T16:26:36Z",
    "title_canon_sha256": "0fd406946a52fcab283772b9c7b8b84248444f8f5ce6c93f54c9f6c25ca3ee3b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.3443",
    "kind": "arxiv",
    "version": 1
  }
}