Pith Number

pith:4ARRDQPD

pith:2011:4ARRDQPD7IWNAI7KDI7EMBBJO3

not attested not anchored not stored refs pending

Fractal Models for Normal Subgroups of Schottky Groups

Johannes Jaerisch

arxiv:1106.0026 v2 · 2011-05-31 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4ARRDQPD7IWNAI7KDI7EMBBJO3}

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	2026-05-18T01:27:16.204368Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e02311c1e3fa2cd023ea1a3e46042976ee54bc4b35cc43a8a72223a81775e69a

Aliases

arxiv: 1106.0026 · arxiv_version: 1106.0026v2 · doi: 10.48550/arxiv.1106.0026 · pith_short_12: 4ARRDQPD7IWN · pith_short_16: 4ARRDQPD7IWNAI7K · pith_short_8: 4ARRDQPD

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/4ARRDQPD7IWNAI7KDI7EMBBJO3 \
  | 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: e02311c1e3fa2cd023ea1a3e46042976ee54bc4b35cc43a8a72223a81775e69a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "224a27d88e1cadca4c4926a93693ba40986d61b0b328ea046622af7d85b6f284",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2011-05-31T20:59:06Z",
    "title_canon_sha256": "43c6a54e0f4e612e19e1b358397fab8cd02527051829ea41290b1ad02327c697"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.0026",
    "kind": "arxiv",
    "version": 2
  }
}