Pith Number

pith:JS6TFB7X

pith:2010:JS6TFB7XOCSVEROPXZ3OG2PUYG

not attested not anchored not stored refs pending

Lyapunov spectrum of square-tiled cyclic covers

Alex Eskin, Anton Zorich, Maxim Kontsevich

arxiv:1007.5330 v2 · 2010-07-29 · math.DS · math.AG · 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{JS6TFB7XOCSVEROPXZ3OG2PUYG}

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	2026-05-18T02:55:11.660279Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4cbd3287f770a55245cfbe76e369f4c19a593488e45557d11bbba2497fd1b507

Aliases

arxiv: 1007.5330 · arxiv_version: 1007.5330v2 · doi: 10.48550/arxiv.1007.5330 · pith_short_12: JS6TFB7XOCSV · pith_short_16: JS6TFB7XOCSVEROP · pith_short_8: JS6TFB7X

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/JS6TFB7XOCSVEROPXZ3OG2PUYG \
  | 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: 4cbd3287f770a55245cfbe76e369f4c19a593488e45557d11bbba2497fd1b507

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c266d90ea758b087c4324018a2ce679418fcb308bf1376f1cc6d1a666f4852e0",
    "cross_cats_sorted": [
      "math.AG",
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2010-07-29T20:38:24Z",
    "title_canon_sha256": "21e8baa1a219a59191a645bb7e5eb4f707b7a88e3ccf1460b0021caec89c8cea"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1007.5330",
    "kind": "arxiv",
    "version": 2
  }
}