Pith Number

pith:FNPRCVFH

pith:2011:FNPRCVFHKRG6K3GN47S32AJAV7

not attested not anchored not stored refs pending

Fusion in the entwined category of Yetter--Drinfeld modules of a rank-1 Nichols algebra

A. M. Semikhatov

arxiv:1109.5919 v3 · 2011-09-27 · math.QA · hep-th · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FNPRCVFHKRG6K3GN47S32AJAV7}

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	2026-05-18T02:00:22.663919Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2b5f1154a7544de56ccde7e5bd0120afdc5c5d9ba36578fc6b67badad8df2b6c

Aliases

arxiv: 1109.5919 · arxiv_version: 1109.5919v3 · doi: 10.48550/arxiv.1109.5919 · pith_short_12: FNPRCVFHKRG6 · pith_short_16: FNPRCVFHKRG6K3GN · pith_short_8: FNPRCVFH

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/FNPRCVFHKRG6K3GN47S32AJAV7 \
  | 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: 2b5f1154a7544de56ccde7e5bd0120afdc5c5d9ba36578fc6b67badad8df2b6c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cd25ab4d5d3d16d1f57fc0007714c8af4131cf90251f22c6b5b283811b4de044",
    "cross_cats_sorted": [
      "hep-th",
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2011-09-27T14:52:42Z",
    "title_canon_sha256": "fa6ac0bdf9ab89eda1b60521bd67b4c7a18ac1d51aec175f08111cc216c77437"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.5919",
    "kind": "arxiv",
    "version": 3
  }
}