Pith Number

pith:ETD6IDNL

pith:2013:ETD6IDNL4JTYB3FQRTOR5KYZMW

not attested not anchored not stored refs pending

Positive Lyapunov exponents for Hamiltonian linear differential systems

Mario Bessa, Paulo Varandas

arxiv:1304.3794 v3 · 2013-04-13 · 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{ETD6IDNL4JTYB3FQRTOR5KYZMW}

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	2026-05-18T02:48:43.576288Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

24c7e40dabe26780ecb08cdd1eab19659b60aec0c3e6f26ea30e41c26c96917f

Aliases

arxiv: 1304.3794 · arxiv_version: 1304.3794v3 · doi: 10.48550/arxiv.1304.3794 · pith_short_12: ETD6IDNL4JTY · pith_short_16: ETD6IDNL4JTYB3FQ · pith_short_8: ETD6IDNL

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/ETD6IDNL4JTYB3FQRTOR5KYZMW \
  | 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: 24c7e40dabe26780ecb08cdd1eab19659b60aec0c3e6f26ea30e41c26c96917f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f1853346aaf06f9e9378acb009e5a15975d03a6026a323ee7de1f91dabd377a8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2013-04-13T09:34:56Z",
    "title_canon_sha256": "a1c44ed915d90e677d9228972fd60bcde38e84d7b452d8eb2c83b3327974a154"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.3794",
    "kind": "arxiv",
    "version": 3
  }
}