Pith Number

pith:OPRFIHRD

pith:2016:OPRFIHRDRMXLRRVLXYPB4ODFHC

not attested not anchored not stored refs pending

$Z/m$-graded Lie algebras and perverse sheaves, II

George Lusztig, Zhiwei Yun

arxiv:1604.00659 v2 · 2016-04-03 · 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{OPRFIHRDRMXLRRVLXYPB4ODFHC}

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	2026-05-18T01:03:36.440406Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

73e2541e238b2eb8c6abbe1e1e3865389de5b642bc5fe2f2105f50d92ce49c77

Aliases

arxiv: 1604.00659 · arxiv_version: 1604.00659v2 · doi: 10.48550/arxiv.1604.00659 · pith_short_12: OPRFIHRDRMXL · pith_short_16: OPRFIHRDRMXLRRVL · pith_short_8: OPRFIHRD

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/OPRFIHRDRMXLRRVLXYPB4ODFHC \
  | 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: 73e2541e238b2eb8c6abbe1e1e3865389de5b642bc5fe2f2105f50d92ce49c77

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a995a8d0ce967e979b18549bb2ed489d6059a3a178b1c4980a9e956249df5a11",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2016-04-03T17:32:06Z",
    "title_canon_sha256": "344fd2d8ecac9c18e8d2827f555c5e3b6d2865d3fed6b0288c31dd1d75643cb9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.00659",
    "kind": "arxiv",
    "version": 2
  }
}