Pith Number

pith:V3ULDZYI

pith:2017:V3ULDZYIJZX67FNQBU5OSPQJYW

not attested not anchored not stored refs pending

On dimension growth of modular irreducible representations of semisimple Lie algebras

Ivan Losev, Roman Bezrukavnikov

arxiv:1708.01385 v3 · 2017-08-04 · 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{V3ULDZYIJZX67FNQBU5OSPQJYW}

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	2026-05-18T00:12:14.230129Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aee8b1e7084e6fef95b00d3ae93e09c5b4c94ca083eda8ce73efc3c3e4398a67

Aliases

arxiv: 1708.01385 · arxiv_version: 1708.01385v3 · doi: 10.48550/arxiv.1708.01385 · pith_short_12: V3ULDZYIJZX6 · pith_short_16: V3ULDZYIJZX67FNQ · pith_short_8: V3ULDZYI

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/V3ULDZYIJZX67FNQBU5OSPQJYW \
  | 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: aee8b1e7084e6fef95b00d3ae93e09c5b4c94ca083eda8ce73efc3c3e4398a67

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "88271254e570593a7e0294ae3feb64e6103af91fd25c38d03655b264c75ab939",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2017-08-04T05:53:59Z",
    "title_canon_sha256": "b16c968b8ef01b26b5f6390b415a98e33459e18389f0eea450ed6a17629340fa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.01385",
    "kind": "arxiv",
    "version": 3
  }
}