Pith Number

pith:SF5IFPJ7

pith:2011:SF5IFPJ7WTYDOFMJLSVUFLPJY2

not attested not anchored not stored refs pending

Quantum isometry groups of symmetric groups

Jan Liszka-Dalecki, Piotr M. Soltan

arxiv:1107.1657 v2 · 2011-07-07 · math.QA · math.OA · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SF5IFPJ7WTYDOFMJLSVUFLPJY2}

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	2026-05-18T03:37:05.785241Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

917a82bd3fb4f03715895cab42ade9c6b348a2f3673a3378dde1b87ac726376d

Aliases

arxiv: 1107.1657 · arxiv_version: 1107.1657v2 · doi: 10.48550/arxiv.1107.1657 · pith_short_12: SF5IFPJ7WTYD · pith_short_16: SF5IFPJ7WTYDOFMJ · pith_short_8: SF5IFPJ7

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/SF5IFPJ7WTYDOFMJLSVUFLPJY2 \
  | 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: 917a82bd3fb4f03715895cab42ade9c6b348a2f3673a3378dde1b87ac726376d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ce6814ddbf805672f29b660700fd5912af39a5a18ff3eec3638aff0d01728490",
    "cross_cats_sorted": [
      "math.OA",
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2011-07-07T08:14:58Z",
    "title_canon_sha256": "5040c5ce3be27303847578c3e4ff05370aeadd026cd8670993182f9d038bee38"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.1657",
    "kind": "arxiv",
    "version": 2
  }
}