Pith Number

pith:KL6BNILD

pith:2011:KL6BNILDYEFINIT3X5GPMOA7LE

not attested not anchored not stored refs pending

Statistical hyperbolicity in Teichm\"uller space

Howard Masur, Moon Duchin, Spencer Dowdall

arxiv:1108.5416 v5 · 2011-08-27 · 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{KL6BNILDYEFINIT3X5GPMOA7LE}

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	2026-05-18T03:06:13.869684Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

52fc16a163c10a86a27bbf4cf6381f593a4b075edf0405ac8562e86450d9db68

Aliases

arxiv: 1108.5416 · arxiv_version: 1108.5416v5 · doi: 10.48550/arxiv.1108.5416 · pith_short_12: KL6BNILDYEFI · pith_short_16: KL6BNILDYEFINIT3 · pith_short_8: KL6BNILD

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/KL6BNILDYEFINIT3X5GPMOA7LE \
  | 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: 52fc16a163c10a86a27bbf4cf6381f593a4b075edf0405ac8562e86450d9db68

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8988864bfb49a4aaab579a9d5a066e8bca5277e1b8d6237e08fcead633e3fdbd",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2011-08-27T04:45:22Z",
    "title_canon_sha256": "6c59d0ed85fab2e0c1b593cfc9a1416e471a048cf434a578e79a9827525fc188"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.5416",
    "kind": "arxiv",
    "version": 5
  }
}