Pith Number

pith:XOXHGPHX

pith:2018:XOXHGPHXEE4YRY4CVNXDBQH6OT

not attested not anchored not stored refs pending

Les exposants de Liapounoff du flot de Teichm\"{u}ller

Julien Grivaux, Pascal Hubert

arxiv:1803.06665 v1 · 2018-03-18 · 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{XOXHGPHXEE4YRY4CVNXDBQH6OT}

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	2026-05-18T00:20:45.339698Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bbae733cf7213988e382ab6e30c0fe74fb8599765d1e0490f7bd5177322ff061

Aliases

arxiv: 1803.06665 · arxiv_version: 1803.06665v1 · doi: 10.48550/arxiv.1803.06665 · pith_short_12: XOXHGPHXEE4Y · pith_short_16: XOXHGPHXEE4YRY4C · pith_short_8: XOXHGPHX

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/XOXHGPHXEE4YRY4CVNXDBQH6OT \
  | 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: bbae733cf7213988e382ab6e30c0fe74fb8599765d1e0490f7bd5177322ff061

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9ad5d12f85154f5738e78ff8a9b288819fea6a6f96b84399c93c7c0151c987c2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2018-03-18T14:07:37Z",
    "title_canon_sha256": "19310763aa0af845c79b6f675a23dc566f614c1bd26bc1cd1f499699b64de7a4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1803.06665",
    "kind": "arxiv",
    "version": 1
  }
}