Pith Number

pith:HXTNBLWV

pith:2012:HXTNBLWVFRNG46IJX73NHEYMRS

not attested not anchored not stored refs pending

Weierstrass filtration on Teichmuller curves and Lyapunov exponents

Fei Yu, Kang Zuo

arxiv:1203.6053 v6 · 2012-03-27 · math.AG · 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{HXTNBLWVFRNG46IJX73NHEYMRS}

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	2026-05-18T02:32:14.688081Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3de6d0aed52c5a6e7909bff6d3930c8ca5b2da43654aee6c7519e84a44a902cf

Aliases

arxiv: 1203.6053 · arxiv_version: 1203.6053v6 · doi: 10.48550/arxiv.1203.6053 · pith_short_12: HXTNBLWVFRNG · pith_short_16: HXTNBLWVFRNG46IJ · pith_short_8: HXTNBLWV

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/HXTNBLWVFRNG46IJX73NHEYMRS \
  | 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: 3de6d0aed52c5a6e7909bff6d3930c8ca5b2da43654aee6c7519e84a44a902cf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9a4ef39d16cc379fe94111c051faa955d7a4e6e044ab639a0a3d6b67d1a84a49",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-03-27T19:18:19Z",
    "title_canon_sha256": "05ec24bbf248a1f7e042c8fee75adae60be8ca515827df01170d63a6f6d28154"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.6053",
    "kind": "arxiv",
    "version": 6
  }
}