Pith Number

pith:LQDPTYXS

pith:2015:LQDPTYXSHKBRNX733HK4CLVGXC

not attested not anchored not stored refs pending

Integrable representations of root-graded Lie algebras

Erhard Neher, Hadi Salmasian, Nathan Manning

arxiv:1509.06784 v3 · 2015-09-22 · math.RT · 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{LQDPTYXSHKBRNX733HK4CLVGXC}

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	2026-05-18T00:50:52.445945Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5c06f9e2f23a8316dffbd9d5c12ea6b8be41870678daae07d54ed1d82791f79c

Aliases

arxiv: 1509.06784 · arxiv_version: 1509.06784v3 · doi: 10.48550/arxiv.1509.06784 · pith_short_12: LQDPTYXSHKBR · pith_short_16: LQDPTYXSHKBRNX73 · pith_short_8: LQDPTYXS

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/LQDPTYXSHKBRNX733HK4CLVGXC \
  | 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: 5c06f9e2f23a8316dffbd9d5c12ea6b8be41870678daae07d54ed1d82791f79c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2d03eb0004b094ea4f81a14536f99f390f506e35506325d21e067a4f7351d722",
    "cross_cats_sorted": [
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2015-09-22T20:59:21Z",
    "title_canon_sha256": "f9417a3d0639d1f0374bf244db957187ac256e5a4027189b79d9e7a052880c84"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.06784",
    "kind": "arxiv",
    "version": 3
  }
}