Pith Number

pith:6L7WVUDM

pith:2016:6L7WVUDMVWLM4LLUEXVZR3YEL3

not attested not anchored not stored refs pending

Rates of mixing for the Weil-Petersson geodesic flow II: exponential mixing in exceptional moduli spaces

Amie Wilkinson, Carlos Matheus, Howard Masur, Keith Burns

arxiv:1605.09037 v1 · 2016-05-29 · math.DS · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6L7WVUDMVWLM4LLUEXVZR3YEL3}

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	2026-05-18T01:13:22.258485Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f2ff6ad06cad96ce2d7425eb98ef045ecb7731886b3b428535e0c39f22d1e2e9

Aliases

arxiv: 1605.09037 · arxiv_version: 1605.09037v1 · doi: 10.48550/arxiv.1605.09037 · pith_short_12: 6L7WVUDMVWLM · pith_short_16: 6L7WVUDMVWLM4LLU · pith_short_8: 6L7WVUDM

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/6L7WVUDMVWLM4LLUEXVZR3YEL3 \
  | 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: f2ff6ad06cad96ce2d7425eb98ef045ecb7731886b3b428535e0c39f22d1e2e9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b11e0a2a6ff3223654f5ec3ba53dc24584416373aacb532895ed96dc30f35f9b",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2016-05-29T17:35:33Z",
    "title_canon_sha256": "558e1afa5990a251e5169327a2abc7cd9bc15255d581b5ac3f5611f85161b70b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.09037",
    "kind": "arxiv",
    "version": 1
  }
}