Pith Number

pith:HA2XJ6G4

pith:2015:HA2XJ6G4SGPSBTVRDXADMV7VRG

not attested not anchored not stored refs pending

The symmetry of the Kuramoto system and the essence of the cluster synchronization

Guihua Tian, Songhua Hu

arxiv:1505.03316 v2 · 2015-05-04 · nlin.CD · nlin.AO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HA2XJ6G4SGPSBTVRDXADMV7VRG}

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	2026-05-18T02:03:32.271995Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

383574f8dc919f20ceb11dc03657f5899ba397a80f4775f9cacbba73db668902

Aliases

arxiv: 1505.03316 · arxiv_version: 1505.03316v2 · doi: 10.48550/arxiv.1505.03316 · pith_short_12: HA2XJ6G4SGPS · pith_short_16: HA2XJ6G4SGPSBTVR · pith_short_8: HA2XJ6G4

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/HA2XJ6G4SGPSBTVRDXADMV7VRG \
  | 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: 383574f8dc919f20ceb11dc03657f5899ba397a80f4775f9cacbba73db668902

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ea7e62e3fb8f155b03ef08b28c03a13fa2fe16a6aaeac02ffd902e4201813c4b",
    "cross_cats_sorted": [
      "nlin.AO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "nlin.CD",
    "submitted_at": "2015-05-04T10:31:09Z",
    "title_canon_sha256": "c009e1f64ae6359eecbf2f6adc198e4d16ea35648c6a6fd0edc2f5b68e9126a4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.03316",
    "kind": "arxiv",
    "version": 2
  }
}