Pith Number

pith:LPSEL4UJ

pith:2015:LPSEL4UJBFYR5TH3MQHH75JAQ6

not attested not anchored not stored refs pending

On supergroups and their semisimplified representation categories

Thorsten Heidersdorf

arxiv:1512.03420 v3 · 2015-12-10 · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LPSEL4UJBFYR5TH3MQHH75JAQ6}

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	2026-05-18T00:17:09.680181Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5be445f28909711eccfb640e7ff52087bd067407d5a0909761e4540b19ccc7c5

Aliases

arxiv: 1512.03420 · arxiv_version: 1512.03420v3 · doi: 10.48550/arxiv.1512.03420 · pith_short_12: LPSEL4UJBFYR · pith_short_16: LPSEL4UJBFYR5TH3 · pith_short_8: LPSEL4UJ

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/LPSEL4UJBFYR5TH3MQHH75JAQ6 \
  | 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: 5be445f28909711eccfb640e7ff52087bd067407d5a0909761e4540b19ccc7c5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "42a70760c227b2abf5f5e2f89429d7338fc5f0e8365cb8986df62f043be4a7a0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2015-12-10T20:58:52Z",
    "title_canon_sha256": "2a53f336e7415e04501b2d9f26079757a81a1e8cbb4e2859f67f13fd8ba69aad"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.03420",
    "kind": "arxiv",
    "version": 3
  }
}