Pith Number

pith:PBJD5I3Y

pith:2013:PBJD5I3YQJQCGM5HCGQI4QRAXN

not attested not anchored not stored refs pending

Random matrices and Lyapunov coefficients regularity

Giovanni Gallavotti

arxiv:1311.5129 v4 · 2013-11-20 · nlin.CD

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PBJD5I3YQJQCGM5HCGQI4QRAXN}

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	2026-05-18T01:25:47.757819Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

78523ea37882602333a711a08e4220bb58fa1de40b3985d4a30081a28282d3bc

Aliases

arxiv: 1311.5129 · arxiv_version: 1311.5129v4 · doi: 10.48550/arxiv.1311.5129 · pith_short_12: PBJD5I3YQJQC · pith_short_16: PBJD5I3YQJQCGM5H · pith_short_8: PBJD5I3Y

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/PBJD5I3YQJQCGM5HCGQI4QRAXN \
  | 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: 78523ea37882602333a711a08e4220bb58fa1de40b3985d4a30081a28282d3bc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "07787c88f37232c3e1961bc8cf409c6024c98611f1b115528520c4b5ef23e192",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "nlin.CD",
    "submitted_at": "2013-11-20T16:45:00Z",
    "title_canon_sha256": "92695493e2d0dc32b9e10433df09ac65623e42378ea6f95e5354cb11169472dc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.5129",
    "kind": "arxiv",
    "version": 4
  }
}