Pith Number

pith:EFZ5Y5N4

pith:1999:EFZ5Y5N4K6O66OSSRWUDOHEUFX

not attested not anchored not stored refs pending

Transition to Chaotic Phase Synchronization through Random Phase Jumps

D. Pazo, I.P. Marino, V. Perez-Munuzuri, V. Perez-Villar

arxiv:chao-dyn/9912026 v1 · 1999-12-15 · chao-dyn · 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{EFZ5Y5N4K6O66OSSRWUDOHEUFX}

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	2026-05-18T01:40:11.319956Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2173dc75bc579def3a528da8371c942dda0ca5f08277ec4478dea6f42b609d2d

Aliases

arxiv: chao-dyn/9912026 · arxiv_version: chao-dyn/9912026v1 · doi: 10.48550/arxiv.chao-dyn/9912026 · pith_short_12: EFZ5Y5N4K6O6 · pith_short_16: EFZ5Y5N4K6O66OSS · pith_short_8: EFZ5Y5N4

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/EFZ5Y5N4K6O66OSSRWUDOHEUFX \
  | 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: 2173dc75bc579def3a528da8371c942dda0ca5f08277ec4478dea6f42b609d2d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "94e320fbead16dee2a4cb3580a10f9da8826f482ef4c15922c78ffad428103d0",
    "cross_cats_sorted": [
      "nlin.CD"
    ],
    "license": "",
    "primary_cat": "chao-dyn",
    "submitted_at": "1999-12-15T16:33:11Z",
    "title_canon_sha256": "52b3c7ffa4f1e02e6078e5d6577b3cb6aecbb15793ba2b8ea9e5ba5222320317"
  },
  "schema_version": "1.0",
  "source": {
    "id": "chao-dyn/9912026",
    "kind": "arxiv",
    "version": 1
  }
}