Pith Number

pith:7QPYGTAK

pith:2011:7QPYGTAKUBWV7TNLIHI5JDQP47

not attested not anchored not stored refs pending

Winning games for bounded geodesics in moduli spaces of quadratic differentials

Howard Masur, Jonathan Chaika, Yitwah Cheung

arxiv:1109.5976 v3 · 2011-09-27 · math.DS · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7QPYGTAKUBWV7TNLIHI5JDQP47}

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	2026-05-18T03:04:50.195581Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fc1f834c0aa06d5fcdab41d1d48e0fe7f09fbc0f334837f5be6ca8093f73f2cb

Aliases

arxiv: 1109.5976 · arxiv_version: 1109.5976v3 · doi: 10.48550/arxiv.1109.5976 · pith_short_12: 7QPYGTAKUBWV · pith_short_16: 7QPYGTAKUBWV7TNL · pith_short_8: 7QPYGTAK

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/7QPYGTAKUBWV7TNLIHI5JDQP47 \
  | 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: fc1f834c0aa06d5fcdab41d1d48e0fe7f09fbc0f334837f5be6ca8093f73f2cb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fade7f2c2614dde2dd71c556ecb132a4024aec929925d3aa30426506ff126fc9",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2011-09-27T17:43:11Z",
    "title_canon_sha256": "528ee7df2866eeac543a7a52fab0542a3ed5b8a4f3986d9f158e961eca1dd6cd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.5976",
    "kind": "arxiv",
    "version": 3
  }
}