Pith Number

pith:HOPS5DKV

pith:2012:HOPS5DKVIK4RBWG2Z5PGJEMR7M

not attested not anchored not stored refs pending

On finite-size Lyapunov exponents in multiscale systems

Georg A. Gottwald, Lewis Mitchell

arxiv:1204.1999 v1 · 2012-04-09 · nlin.CD · physics.ao-ph · physics.data-an

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HOPS5DKVIK4RBWG2Z5PGJEMR7M}

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	2026-05-18T02:43:52.541862Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3b9f2e8d5542b910d8dacf5e649191fb084aa9cd266afdc48286107f1c0c471b

Aliases

arxiv: 1204.1999 · arxiv_version: 1204.1999v1 · doi: 10.48550/arxiv.1204.1999 · pith_short_12: HOPS5DKVIK4R · pith_short_16: HOPS5DKVIK4RBWG2 · pith_short_8: HOPS5DKV

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/HOPS5DKVIK4RBWG2Z5PGJEMR7M \
  | 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: 3b9f2e8d5542b910d8dacf5e649191fb084aa9cd266afdc48286107f1c0c471b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "105e183fd6990d82b251d43d464f44f96e43dd96c799b95e5ab47ef7316b67b4",
    "cross_cats_sorted": [
      "physics.ao-ph",
      "physics.data-an"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "nlin.CD",
    "submitted_at": "2012-04-09T22:04:45Z",
    "title_canon_sha256": "4f3094edc65d9cccfe3e5c77bd1cf53818ea60cf1ea7d06d5af286e711a45ecc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.1999",
    "kind": "arxiv",
    "version": 1
  }
}