Pith Number

pith:LV3DVPEH

pith:2014:LV3DVPEHTXWANU2XRYHZHSRT6E

not attested not anchored not stored refs pending

Fine gradings of complex simple Lie algebras and Finite Root Systems

Gang Han, Jun Yu, Kang Lu

arxiv:1410.7945 v1 · 2014-10-29 · math.GR · 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{LV3DVPEHTXWANU2XRYHZHSRT6E}

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	2026-05-18T02:39:07.799800Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5d763abc879dec06d3578e0f93ca33f11ba31f23b2df697dab10f6bc7e4d587e

Aliases

arxiv: 1410.7945 · arxiv_version: 1410.7945v1 · doi: 10.48550/arxiv.1410.7945 · pith_short_12: LV3DVPEHTXWA · pith_short_16: LV3DVPEHTXWANU2X · pith_short_8: LV3DVPEH

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/LV3DVPEHTXWANU2XRYHZHSRT6E \
  | 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: 5d763abc879dec06d3578e0f93ca33f11ba31f23b2df697dab10f6bc7e4d587e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2ba2076b2856cad35b9de0b91873510b875c64ba23594e22afdbc93342057485",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2014-10-29T11:44:32Z",
    "title_canon_sha256": "42bc62bec1b8c2c78db76dab6fa0edaec1a0c400d75dcaec475d68bcbbaefe07"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1410.7945",
    "kind": "arxiv",
    "version": 1
  }
}