Pith Number

pith:UYKJ4EDZ

pith:2015:UYKJ4EDZYPKQNHFXBEFFLVPJ3L

not attested not anchored not stored refs pending

Positive energy representations of double extensions of Hilbert loop algebras

Karl-Hermann Neeb, Timoth\'ee Marquis

arxiv:1511.03980 v1 · 2015-11-12 · 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{UYKJ4EDZYPKQNHFXBEFFLVPJ3L}

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	2026-05-18T00:31:36.497547Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a6149e1079c3d5069cb7090a55d5e9daf88d644e6e51acd3b430d99fc1a03155

Aliases

arxiv: 1511.03980 · arxiv_version: 1511.03980v1 · doi: 10.48550/arxiv.1511.03980 · pith_short_12: UYKJ4EDZYPKQ · pith_short_16: UYKJ4EDZYPKQNHFX · pith_short_8: UYKJ4EDZ

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/UYKJ4EDZYPKQNHFXBEFFLVPJ3L \
  | 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: a6149e1079c3d5069cb7090a55d5e9daf88d644e6e51acd3b430d99fc1a03155

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fa4b22c9263f0c701923e6bc4f50b72aec539abd189f463f582a3fba5295c815",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2015-11-12T17:35:59Z",
    "title_canon_sha256": "ce96ebef15572886d8edd8d46e244279abbea559ba7985dc24274d81d41fab79"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.03980",
    "kind": "arxiv",
    "version": 1
  }
}