Pith Number

pith:TQNJO3HS

pith:2009:TQNJO3HSXBN67ZGVJWE5ARMPG3

not attested not anchored not stored refs pending

Non existence of group structure on some quantum spaces

Piotr M. Soltan

arxiv:0904.3019 v2 · 2009-04-20 · math.OA · 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{TQNJO3HSXBN67ZGVJWE5ARMPG3}

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	2026-05-18T04:24:44.029876Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9c1a976cf2b85befe4d54d89d0458f36c17e114b2ad1d3def74d617d240f565e

Aliases

arxiv: 0904.3019 · arxiv_version: 0904.3019v2 · doi: 10.48550/arxiv.0904.3019 · pith_short_12: TQNJO3HSXBN6 · pith_short_16: TQNJO3HSXBN67ZGV · pith_short_8: TQNJO3HS

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/TQNJO3HSXBN67ZGVJWE5ARMPG3 \
  | 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: 9c1a976cf2b85befe4d54d89d0458f36c17e114b2ad1d3def74d617d240f565e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "360c2f0c2aff932ae513b6fa006d0fd0660b1c8ce28b0be4c8e97a0076f70aed",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2009-04-20T12:47:13Z",
    "title_canon_sha256": "f2ec9252355af0ac892d324707234707ba48c690209c406f45fcddf3d86256f4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0904.3019",
    "kind": "arxiv",
    "version": 2
  }
}