Pith Number

pith:2RQXIEAF

pith:2011:2RQXIEAFL3EXVOHUJRC7X5JDNY

not attested not anchored not stored refs pending

Deformation of finite-volume hyperbolic Coxeter polyhedra, limiting growth rates and Pisot numbers

Alexander Kolpakov

arxiv:1105.6267 v5 · 2011-05-31 · 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{2RQXIEAFL3EXVOHUJRC7X5JDNY}

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	2026-05-18T03:57:25.146487Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d4617410055ec97ab8f44c45fbf5236e39beb3600b84871cb60f2cbed3cfeaa0

Aliases

arxiv: 1105.6267 · arxiv_version: 1105.6267v5 · doi: 10.48550/arxiv.1105.6267 · pith_short_12: 2RQXIEAFL3EX · pith_short_16: 2RQXIEAFL3EXVOHU · pith_short_8: 2RQXIEAF

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/2RQXIEAFL3EXVOHUJRC7X5JDNY \
  | 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: d4617410055ec97ab8f44c45fbf5236e39beb3600b84871cb60f2cbed3cfeaa0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5e0de9d140b416f0752ee574938b2845f96ca745af1e676d1d0fd283ee021f8a",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2011-05-31T13:18:19Z",
    "title_canon_sha256": "915976ea1338b93857eb763d2612464014f8376448cb72c08a2dcf738c5506f3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.6267",
    "kind": "arxiv",
    "version": 5
  }
}