Pith Number

pith:WWIVTEKP

pith:2015:WWIVTEKPQY4GHCNJXJGYJM2PXR

not attested not anchored not stored refs pending

Leibniz algebras associated with representations of the Diamond Lie algebra

B.A. Omirov, I.A. Karimjanov, S. Uguz

arxiv:1507.01349 v2 · 2015-07-06 · 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{WWIVTEKPQY4GHCNJXJGYJM2PXR}

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	2026-05-18T01:15:58.506337Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b59159914f86386389a9ba4d84b34fbc7ff5e9debe19cb3f0588729280b8f77f

Aliases

arxiv: 1507.01349 · arxiv_version: 1507.01349v2 · doi: 10.48550/arxiv.1507.01349 · pith_short_12: WWIVTEKPQY4G · pith_short_16: WWIVTEKPQY4GHCNJ · pith_short_8: WWIVTEKP

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/WWIVTEKPQY4GHCNJXJGYJM2PXR \
  | 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: b59159914f86386389a9ba4d84b34fbc7ff5e9debe19cb3f0588729280b8f77f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d7703b2eb8495c92106a7a4242407a55a6e15040e8b4a387b3ff2812f658e84b",
    "cross_cats_sorted": [
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2015-07-06T08:10:10Z",
    "title_canon_sha256": "0fb6e1d5c955a0df5bfd0866aa46784fb012a0f3c4988feaa599cea9869cea3e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.01349",
    "kind": "arxiv",
    "version": 2
  }
}