Pith Number

pith:DLKKIYCP

pith:2012:DLKKIYCPP5VZOYRPPJNXILKYTF

not attested not anchored not stored refs pending

Conformal Fractals for Normal Subgroups of Free Groups

Johannes Jaerisch

arxiv:1203.4301 v6 · 2012-03-20 · math.DS · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DLKKIYCPP5VZOYRPPJNXILKYTF}

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	2026-05-18T01:27:16.188133Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1ad4a4604f7f6b97622f7a5b742d58995565870785eaac865a7bd01dec40feaf

Aliases

arxiv: 1203.4301 · arxiv_version: 1203.4301v6 · doi: 10.48550/arxiv.1203.4301 · pith_short_12: DLKKIYCPP5VZ · pith_short_16: DLKKIYCPP5VZOYRP · pith_short_8: DLKKIYCP

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/DLKKIYCPP5VZOYRPPJNXILKYTF \
  | 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: 1ad4a4604f7f6b97622f7a5b742d58995565870785eaac865a7bd01dec40feaf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1dbc8848a2f8f0be1f57ec1524e8b79ff3476c723edc40953ec46dd65a4e3f21",
    "cross_cats_sorted": [
      "math.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2012-03-20T01:11:03Z",
    "title_canon_sha256": "75baea63d60a8353d22dba2453694b7f79685188efa3b79064634655f91af831"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.4301",
    "kind": "arxiv",
    "version": 6
  }
}