Pith Number

pith:PKLMEEKM

pith:2009:PKLMEEKMNKSKMHCBHG6T7RNNNV

not attested not anchored not stored refs pending

Centers of graded fusion categories

Deepak Naidu, Dmitri Nikshych, Shlomo Gelaki

arxiv:0905.3117 v1 · 2009-05-19 · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PKLMEEKMNKSKMHCBHG6T7RNNNV}

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.

Cited by

1 paper in Pith

Spontaneous breaking of non-invertible symmetries and duality to beyond-Landau transitions

Receipt and verification

First computed	2026-07-04T17:18:56.919913Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7a96c2114c6aa4a61c4139bd3fc5ad6d408aa0e395aee1bbc4e1564ead06822d

Aliases

arxiv: 0905.3117 · arxiv_version: 0905.3117v1 · doi: 10.48550/arxiv.0905.3117 · pith_short_12: PKLMEEKMNKSK · pith_short_16: PKLMEEKMNKSKMHCB · pith_short_8: PKLMEEKM

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/PKLMEEKMNKSKMHCBHG6T7RNNNV \
  | 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: 7a96c2114c6aa4a61c4139bd3fc5ad6d408aa0e395aee1bbc4e1564ead06822d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "50e1fbf3f5a90b9cfa17460882d5df2c31f1cca0a6268ba116a719afb401818a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2009-05-19T14:50:38Z",
    "title_canon_sha256": "da767eda4dd64f78ca9b495880573537c9726bdd9c6462813bb121ed1015f4f3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0905.3117",
    "kind": "arxiv",
    "version": 1
  }
}