Pith Number

pith:V4IJYBWW

pith:2016:V4IJYBWW3X6U3LPEHYAR34NRR7

not attested not anchored not stored refs pending

Lyapunov exponents of the Hodge bundle over strata of quadratic differentials with large number of poles

Charles Fougeron

arxiv:1611.07728 v2 · 2016-11-23 · 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{V4IJYBWW3X6U3LPEHYAR34NRR7}

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	2026-05-18T00:30:46.495280Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

af109c06d6ddfd4dade43e011df1b18ff843a77c4d4c54ee8f06e274a4b7a793

Aliases

arxiv: 1611.07728 · arxiv_version: 1611.07728v2 · doi: 10.48550/arxiv.1611.07728 · pith_short_12: V4IJYBWW3X6U · pith_short_16: V4IJYBWW3X6U3LPE · pith_short_8: V4IJYBWW

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/V4IJYBWW3X6U3LPEHYAR34NRR7 \
  | 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: af109c06d6ddfd4dade43e011df1b18ff843a77c4d4c54ee8f06e274a4b7a793

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "18b8bbeeb41f4f45971cbc065240874bc3fe935a6c4cca40e059cc604fb75fb3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2016-11-23T10:31:35Z",
    "title_canon_sha256": "d8d181d7eecf780901454314679e16bd7e89c1eee87d31a34c41623a7cca7ca0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.07728",
    "kind": "arxiv",
    "version": 2
  }
}