Pith Number

pith:GVRL6ODH

pith:2014:GVRL6ODHS2G5VEGQQJOE3F4YLW

not attested not anchored not stored refs pending

Gradings on the Lie algebra $D_4$ revisited

Alberto Elduque, Mikhail Kochetov

arxiv:1412.5076 v3 · 2014-12-16 · 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{GVRL6ODHS2G5VEGQQJOE3F4YLW}

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	2026-05-18T01:32:37.498885Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3562bf3867968dda90d0825c4d97985d8671d8ca58c408b3e6326fa57f1cf15b

Aliases

arxiv: 1412.5076 · arxiv_version: 1412.5076v3 · doi: 10.48550/arxiv.1412.5076 · pith_short_12: GVRL6ODHS2G5 · pith_short_16: GVRL6ODHS2G5VEGQ · pith_short_8: GVRL6ODH

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/GVRL6ODHS2G5VEGQQJOE3F4YLW \
  | 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: 3562bf3867968dda90d0825c4d97985d8671d8ca58c408b3e6326fa57f1cf15b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "44f22f93edcc917fef0cb78b15eda171fb7f510c286a13425106e10f5e943a83",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2014-12-16T16:50:22Z",
    "title_canon_sha256": "136bde2c9e9c637e812077116425a824d5c3b805dca06ad1cc11d0760eb9ff10"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.5076",
    "kind": "arxiv",
    "version": 3
  }
}