Pith Number

pith:VPGNKGD6

pith:2016:VPGNKGD632BB24SASMSMA2PWMF

not attested not anchored not stored refs pending

Z/m-graded Lie algebras and perverse sheaves, I

George Lusztig, Zhiwei Yun

arxiv:1602.05244 v3 · 2016-02-16 · 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{VPGNKGD632BB24SASMSMA2PWMF}

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	2026-05-18T01:03:36.609651Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

abccd5187ede821d72409324c069f66154483f101958f627f019d15002ec3ee5

Aliases

arxiv: 1602.05244 · arxiv_version: 1602.05244v3 · doi: 10.48550/arxiv.1602.05244 · pith_short_12: VPGNKGD632BB · pith_short_16: VPGNKGD632BB24SA · pith_short_8: VPGNKGD6

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/VPGNKGD632BB24SASMSMA2PWMF \
  | 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: abccd5187ede821d72409324c069f66154483f101958f627f019d15002ec3ee5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "13f523eeda107c416959989227ee979a9781b225a345c0d1e238473d0c865063",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2016-02-16T23:46:04Z",
    "title_canon_sha256": "85cee8703ad249ac6eab433fc56bc0db6bb8a05370014406738b90cff2079a47"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.05244",
    "kind": "arxiv",
    "version": 3
  }
}