Pith Number

pith:SHX2RKKU

pith:2010:SHX2RKKUZUZSHLXMUNNFJJN67B

not attested not anchored not stored refs pending

On two possible constructions of the quantum semigroup of all quantum permutations of an infinite countable set

Adam Skalski, Debashish Goswami

arxiv:1009.4726 v2 · 2010-09-23 · 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{SHX2RKKUZUZSHLXMUNNFJJN67B}

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	2026-05-18T03:52:51.532444Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

91efa8a954cd3323aeeca35a54a5bef852c4e9271f14b7e198b4d8939ace9291

Aliases

arxiv: 1009.4726 · arxiv_version: 1009.4726v2 · doi: 10.48550/arxiv.1009.4726 · pith_short_12: SHX2RKKUZUZS · pith_short_16: SHX2RKKUZUZSHLXM · pith_short_8: SHX2RKKU

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/SHX2RKKUZUZSHLXMUNNFJJN67B \
  | 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: 91efa8a954cd3323aeeca35a54a5bef852c4e9271f14b7e198b4d8939ace9291

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9ccefab22a9874ada59d9d5e6f5afc5333398573497023fa6c5373e10358fd52",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2010-09-23T21:13:21Z",
    "title_canon_sha256": "00c4db43688f6bfb7262b2ef8770c7a3996975bc67feebe743b19531fbf73155"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.4726",
    "kind": "arxiv",
    "version": 2
  }
}