Pith Number

pith:7ETCEJKU

pith:2005:7ETCEJKU7TJJUA26ECFTLUIP5E

not attested not anchored not stored refs pending

Dynamical Types of Isometries of the Hyperbolic Space

Krishnendu Gongopadhyay, Ravi S. Kulkarni

arxiv:math/0511444 v6 · 2005-11-17 · math.GT · 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{7ETCEJKU7TJJUA26ECFTLUIP5E}

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	2026-05-18T04:27:16.520277Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f926222554fcd29a035e208b35d10fe91dd4f26891043b8c6c77a3d5f0be16eb

Aliases

arxiv: math/0511444 · arxiv_version: math/0511444v6 · doi: 10.48550/arxiv.math/0511444 · pith_short_12: 7ETCEJKU7TJJ · pith_short_16: 7ETCEJKU7TJJUA26 · pith_short_8: 7ETCEJKU

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/7ETCEJKU7TJJUA26ECFTLUIP5E \
  | 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: f926222554fcd29a035e208b35d10fe91dd4f26891043b8c6c77a3d5f0be16eb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a291a5df76e6e9a367dcfaf3b076a7ac53061fe50d5a977c34bab3165f3c7cd5",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2005-11-17T15:50:18Z",
    "title_canon_sha256": "454bf2e5f682f3c39531b7285e04cce9ca73737145ee65c2f01592a9476094be"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0511444",
    "kind": "arxiv",
    "version": 6
  }
}