Pith Number

pith:6NCOJAAI

pith:2016:6NCOJAAI2YJBQSOBP7PE3EROU3

not attested not anchored not stored refs pending

$\mathbb{Z}/m\mathbb{Z}$-graded Lie algebras and perverse sheaves, III: graded double affine Hecke algebra

George Lusztig, Zhiwei Yun

arxiv:1607.07916 v2 · 2016-07-27 · 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{6NCOJAAI2YJBQSOBP7PE3EROU3}

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	2026-05-18T01:01:22.853060Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f344e48008d6121849c17fde4d922ea6fd81a4bb847dc2450558974b01462e4b

Aliases

arxiv: 1607.07916 · arxiv_version: 1607.07916v2 · doi: 10.48550/arxiv.1607.07916 · pith_short_12: 6NCOJAAI2YJB · pith_short_16: 6NCOJAAI2YJBQSOB · pith_short_8: 6NCOJAAI

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/6NCOJAAI2YJBQSOBP7PE3EROU3 \
  | 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: f344e48008d6121849c17fde4d922ea6fd81a4bb847dc2450558974b01462e4b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1f84832e43b23d2f90fffa069b43fbacf3f23423142dfd17a88c70b15a728068",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2016-07-27T00:03:40Z",
    "title_canon_sha256": "03d4b0c67595cadc37f85434e6ab4ffe345abe773ed40ecfb01100cdd7828a64"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.07916",
    "kind": "arxiv",
    "version": 2
  }
}