Pith Number

pith:6U4VBGS3

pith:2013:6U4VBGS3YEHNSZEG4K2M3I3HXY

not attested not anchored not stored refs pending

Lyapunov Exponents of Rank 2-Variations of Hodge Structures and Modular Embeddings

Andr\'e Kappes

arxiv:1303.1088 v3 · 2013-03-05 · 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{6U4VBGS3YEHNSZEG4K2M3I3HXY}

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	2026-05-18T03:15:20.719286Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f539509a5bc10ed96486e2b4cda367be2a2a358bae8c67f510672be6e1ec92aa

Aliases

arxiv: 1303.1088 · arxiv_version: 1303.1088v3 · doi: 10.48550/arxiv.1303.1088 · pith_short_12: 6U4VBGS3YEHN · pith_short_16: 6U4VBGS3YEHNSZEG · pith_short_8: 6U4VBGS3

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/6U4VBGS3YEHNSZEG4K2M3I3HXY \
  | 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: f539509a5bc10ed96486e2b4cda367be2a2a358bae8c67f510672be6e1ec92aa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6c66a8eb28ada30c5c78d6593b7d821f0735cae15654f519f1189c41fd408b8c",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2013-03-05T16:29:58Z",
    "title_canon_sha256": "fcb4a27f1225c0fa97b353264419edd929173903728fe0c3647b0973273c5433"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.1088",
    "kind": "arxiv",
    "version": 3
  }
}