Pith Number

pith:6IXOZ2PB

pith:2013:6IXOZ2PBNYBLRGSYOOVJJVDW5B

not attested not anchored not stored refs pending

alpha-Kuramoto partitions: graph partitions from the frustrated Kuramoto model generalise equitable partitions

Simone Severini, Stephen Kirkland

arxiv:1306.4299 v1 · 2013-06-18 · math.CO · cond-mat.stat-mech · 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{6IXOZ2PBNYBLRGSYOOVJJVDW5B}

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	2026-05-18T03:20:36.142409Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f22eece9e16e02b89a5873aa94d476e841797f321aaeef1040f86ae6918bae29

Aliases

arxiv: 1306.4299 · arxiv_version: 1306.4299v1 · doi: 10.48550/arxiv.1306.4299 · pith_short_12: 6IXOZ2PBNYBL · pith_short_16: 6IXOZ2PBNYBLRGSY · pith_short_8: 6IXOZ2PB

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/6IXOZ2PBNYBLRGSYOOVJJVDW5B \
  | 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: f22eece9e16e02b89a5873aa94d476e841797f321aaeef1040f86ae6918bae29

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "95a295b2b5c8ab0f4e3523cbffc718d08f2cd1a979e99f18875d993bc2dc0e53",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "nlin.CD"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-06-18T19:02:14Z",
    "title_canon_sha256": "450ac6af46288a0b98a19f351c9223033c967e31c646913b4517099777b487a5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.4299",
    "kind": "arxiv",
    "version": 1
  }
}