Pith Number

pith:ARCQTIOQ

pith:2017:ARCQTIOQQ5ESFSVUSSOKCJ5TDV

not attested not anchored not stored refs pending

An analog of the Deligne-Lusztig duality for $(\mathfrak{g},K)$-modules

Alexander Yom Din, Dennis Gaitsgory

arxiv:1708.04210 v1 · 2017-08-14 · 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{ARCQTIOQQ5ESFSVUSSOKCJ5TDV}

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	2026-05-18T00:38:06.785847Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

044509a1d0874922cab4949ca127b31d55d406f9323fef05f38fd34fa7268dc6

Aliases

arxiv: 1708.04210 · arxiv_version: 1708.04210v1 · doi: 10.48550/arxiv.1708.04210 · pith_short_12: ARCQTIOQQ5ES · pith_short_16: ARCQTIOQQ5ESFSVU · pith_short_8: ARCQTIOQ

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/ARCQTIOQQ5ESFSVUSSOKCJ5TDV \
  | 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: 044509a1d0874922cab4949ca127b31d55d406f9323fef05f38fd34fa7268dc6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f40bc940148b1aef57961e234e225e971dd4e2688ca68438af4f228add694b00",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2017-08-14T17:06:33Z",
    "title_canon_sha256": "5bd5ad078cb7ab202b61a9d2b354c5cf85878531353f72ca249d1217dd983191"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.04210",
    "kind": "arxiv",
    "version": 1
  }
}