Pith Number

pith:NH3ZHTH4

pith:2008:NH3ZHTH4SI2XRTWM4FYHIQLHAI

not attested not anchored not stored refs pending

The Lyapunov spectrum is not always concave

Godofredo Iommi, Jan Kiwi

arxiv:0812.1936 v1 · 2008-12-10 · 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{NH3ZHTH4SI2XRTWM4FYHIQLHAI}

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	2026-05-18T02:15:11.029071Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

69f793ccfc923578cecce17074416702254d60796697d27eb0591e4c8681d868

Aliases

arxiv: 0812.1936 · arxiv_version: 0812.1936v1 · doi: 10.48550/arxiv.0812.1936 · pith_short_12: NH3ZHTH4SI2X · pith_short_16: NH3ZHTH4SI2XRTWM · pith_short_8: NH3ZHTH4

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/NH3ZHTH4SI2XRTWM4FYHIQLHAI \
  | 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: 69f793ccfc923578cecce17074416702254d60796697d27eb0591e4c8681d868

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "47eddfb98c20d2229811861610e5916acd954f0fc3d0d854303a0a7edfe28f54",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2008-12-10T15:28:37Z",
    "title_canon_sha256": "0d670191e68b04091e0d44f7f2ccf1da0121c6f10870a6c8ea3a7d190edfe262"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0812.1936",
    "kind": "arxiv",
    "version": 1
  }
}