Pith Number

pith:ELVAWQX2

pith:2009:ELVAWQX2KQUU42GF2ILKEGYLMP

not attested not anchored not stored refs pending

Combinatorics of the Springer correspondence for classical Lie algebras and their duals in characteristic 2

Ting Xue

arxiv:0911.1350 v2 · 2009-11-06 · 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{ELVAWQX2KQUU42GF2ILKEGYLMP}

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	2026-05-18T00:15:05.958409Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

22ea0b42fa54294e68c5d216a21b0b63fbf764bb937361d7045a7a59234e1ff8

Aliases

arxiv: 0911.1350 · arxiv_version: 0911.1350v2 · doi: 10.48550/arxiv.0911.1350 · pith_short_12: ELVAWQX2KQUU · pith_short_16: ELVAWQX2KQUU42GF · pith_short_8: ELVAWQX2

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/ELVAWQX2KQUU42GF2ILKEGYLMP \
  | 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: 22ea0b42fa54294e68c5d216a21b0b63fbf764bb937361d7045a7a59234e1ff8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "48e15f54138afd406c90bc9b5b26dfd726e15d267c3f733c1a8feeb472a7fa3c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2009-11-06T20:54:07Z",
    "title_canon_sha256": "12895e12f64f4e59aac0fb11567de10e6e1206970f24b19049d046549cfffe48"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0911.1350",
    "kind": "arxiv",
    "version": 2
  }
}