Pith Number

pith:34RFKECN

pith:2014:34RFKECNRGN3IWSY25MQ6ZNHQG

not attested not anchored not stored refs pending

On interpreting Patterson--Sullivan measures of geometrically finite groups as Hausdorff and packing measures

David Simmons

arxiv:1408.4664 v3 · 2014-08-20 · 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{34RFKECNRGN3IWSY25MQ6ZNHQG}

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	2026-05-18T00:52:32.898561Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

df2255104d899bb45a58d7590f65a781892b69f5ed747c60b980d75367191690

Aliases

arxiv: 1408.4664 · arxiv_version: 1408.4664v3 · doi: 10.48550/arxiv.1408.4664 · pith_short_12: 34RFKECNRGN3 · pith_short_16: 34RFKECNRGN3IWSY · pith_short_8: 34RFKECN

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/34RFKECNRGN3IWSY25MQ6ZNHQG \
  | 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: df2255104d899bb45a58d7590f65a781892b69f5ed747c60b980d75367191690

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fe74a4ceef61c6c8089cb65f90adea3aea7e6737b613ab606119356cc9ef62f4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2014-08-20T14:12:12Z",
    "title_canon_sha256": "266bfe73cc5493fae8b9ec6ee9335a641ab2d790666ba3a02283e921b4ccc12d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1408.4664",
    "kind": "arxiv",
    "version": 3
  }
}