Pith Number

pith:QJP3YJQM

pith:2016:QJP3YJQMN7JJFOYAYR52HUXKGK

not attested not anchored not stored refs pending

Optimizing Synchronization Stability of the Kuramoto Model in Complex Networks and Power Grids

Bo Li, K. Y. Michael Wong

arxiv:1607.04509 v2 · 2016-07-15 · math.OC · cs.SY · math.DS · physics.soc-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QJP3YJQMN7JJFOYAYR52HUXKGK}

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	2026-05-18T00:52:39.305165Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

825fbc260c6fd292bb00c47ba3d2ea32bd43fb490675bef1dbd32f14daf0eaae

Aliases

arxiv: 1607.04509 · arxiv_version: 1607.04509v2 · doi: 10.48550/arxiv.1607.04509 · pith_short_12: QJP3YJQMN7JJ · pith_short_16: QJP3YJQMN7JJFOYA · pith_short_8: QJP3YJQM

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/QJP3YJQMN7JJFOYAYR52HUXKGK \
  | 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: 825fbc260c6fd292bb00c47ba3d2ea32bd43fb490675bef1dbd32f14daf0eaae

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1359682f5cbcbe957539ccdbe222a72bfd8044aabbbef6bd8a49f641b18bee05",
    "cross_cats_sorted": [
      "cs.SY",
      "math.DS",
      "physics.soc-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2016-07-15T13:51:55Z",
    "title_canon_sha256": "511d3cc02fe04a6b6188f2697f2cf0e6c1479b6f4a9b04618d6ac928610e34e4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.04509",
    "kind": "arxiv",
    "version": 2
  }
}