Pith Number

pith:EZXKUZHO

pith:2017:EZXKUZHO5M5KWT72RJGUJLSQ4L

not attested not anchored not stored refs pending

Exceptional directions for the Teichm\"{u}ller geodesic flow and Hausdorff dimension

Alena Erchenko, Caglar Uyanik, Hamid Al-Saqban, Osama Khalil, Paul Apisa, Shahriar Mirzadeh

arxiv:1711.10542 v2 · 2017-11-28 · math.DS · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{EZXKUZHO5M5KWT72RJGUJLSQ4L}

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	2026-07-05T08:31:37.555854Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

266eaa64eeeb3aab4ffa8a4d44ae50e2fc323f2022e14a2742294c93025a34fa

Aliases

arxiv: 1711.10542 · arxiv_version: 1711.10542v2 · doi: 10.48550/arxiv.1711.10542 · pith_short_12: EZXKUZHO5M5K · pith_short_16: EZXKUZHO5M5KWT72 · pith_short_8: EZXKUZHO

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/EZXKUZHO5M5KWT72RJGUJLSQ4L \
  | 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: 266eaa64eeeb3aab4ffa8a4d44ae50e2fc323f2022e14a2742294c93025a34fa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1239459bd8fec0a243c940cb5308370708d99b1189306dd62c3fbcbef0bf94e2",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2017-11-28T20:28:39Z",
    "title_canon_sha256": "f634f1fb26ba8c0f7051a02610271ae2471e2c69aefe796b06201e5193284a2b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1711.10542",
    "kind": "arxiv",
    "version": 2
  }
}