Pith Number

pith:YK2Q36JW

pith:2016:YK2Q36JW2FOU6PQSCI6DGLN3ZJ

not attested not anchored not stored refs pending

Remark on Hopf images in quantum permutation groups $S_n^+$

Pawe{\l} J\'oziak

arxiv:1611.09211 v1 · 2016-11-28 · math.QA · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YK2Q36JW2FOU6PQSCI6DGLN3ZJ}

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	2026-05-18T00:56:28.796363Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c2b50df936d15d4f3e12123c332dbbca6e8e14cf490c360b0a43db07af37641d

Aliases

arxiv: 1611.09211 · arxiv_version: 1611.09211v1 · doi: 10.48550/arxiv.1611.09211 · pith_short_12: YK2Q36JW2FOU · pith_short_16: YK2Q36JW2FOU6PQS · pith_short_8: YK2Q36JW

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/YK2Q36JW2FOU6PQSCI6DGLN3ZJ \
  | 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: c2b50df936d15d4f3e12123c332dbbca6e8e14cf490c360b0a43db07af37641d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "33a5d11b5ae7345ae2c76ca69a49894ad9461b001d95edf9aeee4e69d31a258a",
    "cross_cats_sorted": [
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2016-11-28T15:58:08Z",
    "title_canon_sha256": "602732f6af3596ad2371ef95c403453b9b4631c7b966bd08129115ed86d83919"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.09211",
    "kind": "arxiv",
    "version": 1
  }
}