Pith Number

pith:KEG4PJF4

pith:2015:KEG4PJF4E4NDQWPIOCCRGVVXCQ

not attested not anchored not stored refs pending

Construction of the Lyapunov spectrum in a chaotic system displaying phase synchronization

Alessandro Giuliani, Guido Gentile, Leonardo De Carlo

arxiv:1506.07573 v1 · 2015-06-24 · math-ph · math.MP · 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{KEG4PJF4E4NDQWPIOCCRGVVXCQ}

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	2026-07-05T04:50:07.998691Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

510dc7a4bc271a3859e870851356b71418e20877250c3c12172780dbdab17faf

Aliases

arxiv: 1506.07573 · arxiv_version: 1506.07573v1 · doi: 10.48550/arxiv.1506.07573 · pith_short_12: KEG4PJF4E4ND · pith_short_16: KEG4PJF4E4NDQWPI · pith_short_8: KEG4PJF4

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/KEG4PJF4E4NDQWPIOCCRGVVXCQ \
  | 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: 510dc7a4bc271a3859e870851356b71418e20877250c3c12172780dbdab17faf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f157e6791df353fc5fb594a09c2e1db4541a9aac46edc10939d56ee2dc487a4e",
    "cross_cats_sorted": [
      "math.MP",
      "nlin.CD"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2015-06-24T22:11:33Z",
    "title_canon_sha256": "e8bed1fbbef9b1c98923d77c3764dd21fd185fef6eb73f85bf06368fcc447140"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.07573",
    "kind": "arxiv",
    "version": 1
  }
}