Pith Number

pith:2CIDRB4P

pith:2011:2CIDRB4PPIQZKCA3WTD7BIIF3C

not attested not anchored not stored refs pending

On Hausdorff dimension and cusp excursions for Fuchsian groups

Sara Munday

arxiv:1111.4945 v1 · 2011-11-21 · 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{2CIDRB4PPIQZKCA3WTD7BIIF3C}

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	2026-05-18T04:07:54.695712Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d09038878f7a2195081bb4c7f0a105d8a3b24c71062908cf11c2b571954199f8

Aliases

arxiv: 1111.4945 · arxiv_version: 1111.4945v1 · doi: 10.48550/arxiv.1111.4945 · pith_short_12: 2CIDRB4PPIQZ · pith_short_16: 2CIDRB4PPIQZKCA3 · pith_short_8: 2CIDRB4P

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/2CIDRB4PPIQZKCA3WTD7BIIF3C \
  | 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: d09038878f7a2195081bb4c7f0a105d8a3b24c71062908cf11c2b571954199f8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1ee38f2fc56ad60f80aecd97f2e4b9e828ad9f8d6d44c0089a457ce23f5fcee1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2011-11-21T17:26:28Z",
    "title_canon_sha256": "bc9d10fd59f48d6cfffb238e75532cd10aa9f44c945653d9da48d066d1d2b939"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.4945",
    "kind": "arxiv",
    "version": 1
  }
}