Pith Number

pith:6PIX6JBA

pith:2009:6PIX6JBAZBT5PGGZVDMCA5Z4AC

not attested not anchored not stored refs pending

Cluster synchronization in networks of coupled non-identical dynamical systems

Bo Liu, Tianping Chen, Wenlian Lu

arxiv:0912.2418 v1 · 2009-12-12 · math.DS · math.CA · 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{6PIX6JBAZBT5PGGZVDMCA5Z4AC}

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	2026-05-18T02:10:24.197718Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f3d17f2420c867d798d9a8d820773c00b3c9f48f43780b48be1bc490094d7e3e

Aliases

arxiv: 0912.2418 · arxiv_version: 0912.2418v1 · doi: 10.48550/arxiv.0912.2418 · pith_short_12: 6PIX6JBAZBT5 · pith_short_16: 6PIX6JBAZBT5PGGZ · pith_short_8: 6PIX6JBA

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/6PIX6JBAZBT5PGGZVDMCA5Z4AC \
  | 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: f3d17f2420c867d798d9a8d820773c00b3c9f48f43780b48be1bc490094d7e3e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "da28ae644cb331ba383252eccfde69164416d80bd467b29b65bfcff44cf87cbe",
    "cross_cats_sorted": [
      "math.CA",
      "nlin.CD"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2009-12-12T13:29:42Z",
    "title_canon_sha256": "a07eace0bde09acd2fb068415cfa121ab86dc970b96e15711509b3aea78ab78f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0912.2418",
    "kind": "arxiv",
    "version": 1
  }
}