Pith Number

pith:GQIKUPTF

pith:2009:GQIKUPTFE5ITSPFGZVQUJSSKFN

not attested not anchored not stored refs pending

Representations of tensor categories coming from quantum linear spaces

Martin Mombelli

arxiv:0907.4517 v3 · 2009-07-26 · math.QA · 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{GQIKUPTFE5ITSPFGZVQUJSSKFN}

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	2026-05-18T02:58:02.924674Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3410aa3e652751393ca6cd6144ca4a2b423ef9acc321ccaccd8bc16fea889170

Aliases

arxiv: 0907.4517 · arxiv_version: 0907.4517v3 · doi: 10.48550/arxiv.0907.4517 · pith_short_12: GQIKUPTFE5IT · pith_short_16: GQIKUPTFE5ITSPFG · pith_short_8: GQIKUPTF

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/GQIKUPTFE5ITSPFGZVQUJSSKFN \
  | 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: 3410aa3e652751393ca6cd6144ca4a2b423ef9acc321ccaccd8bc16fea889170

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3a18b206a0dba7933c5a454c81f0a6f0f03080d9a1d68159d405445f50792027",
    "cross_cats_sorted": [
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2009-07-26T21:53:35Z",
    "title_canon_sha256": "3dec0fc9e2f0fe791fb5b98f92f29f74a1504a12f3e715f73496357f780ac675"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0907.4517",
    "kind": "arxiv",
    "version": 3
  }
}