Pith Number

pith:PZZVAWEO

pith:2014:PZZVAWEOQBKSOWDXUQAW3UZVAC

not attested not anchored not stored refs pending

Kostant section, universal centralizer, and a modular derived Satake equivalence

Simon Riche

arxiv:1411.3112 v4 · 2014-11-12 · 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{PZZVAWEOQBKSOWDXUQAW3UZVAC}

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	2026-05-18T02:05:24.142118Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7e7350588e8055275877a4016dd33500979315b8b53b393c72b19dc614c2b3e0

Aliases

arxiv: 1411.3112 · arxiv_version: 1411.3112v4 · doi: 10.48550/arxiv.1411.3112 · pith_short_12: PZZVAWEOQBKS · pith_short_16: PZZVAWEOQBKSOWDX · pith_short_8: PZZVAWEO

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/PZZVAWEOQBKSOWDXUQAW3UZVAC \
  | 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: 7e7350588e8055275877a4016dd33500979315b8b53b393c72b19dc614c2b3e0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eb161bfe384ea6e81abde5941b2135d3ea71e0750e6faca748e67a63b1d6b37f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2014-11-12T09:51:05Z",
    "title_canon_sha256": "18806788169f6524ff97f158c4d3eb59cb5851fe9963d62c1c799cc1f7358371"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1411.3112",
    "kind": "arxiv",
    "version": 4
  }
}