Pith Number

pith:VOJIXMCM

pith:2018:VOJIXMCMTADIGOEZEG2EKVVPV5

not attested not anchored not stored refs pending

Twisted orbital integrals and irreducible components of affine Deligne-Lusztig varieties

Rong Zhou, Yihang Zhu

arxiv:1811.11159 v4 · 2018-11-27 · math.NT · math.AG · 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{VOJIXMCMTADIGOEZEG2EKVVPV5}

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	2026-07-05T00:43:53.337544Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ab928bb04c980683389921b44556afaf5cf3c7c05e27a1b06ad3d4e82c9cba6d

Aliases

arxiv: 1811.11159 · arxiv_version: 1811.11159v4 · doi: 10.48550/arxiv.1811.11159 · pith_short_12: VOJIXMCMTADI · pith_short_16: VOJIXMCMTADIGOEZ · pith_short_8: VOJIXMCM

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/VOJIXMCMTADIGOEZEG2EKVVPV5 \
  | 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: ab928bb04c980683389921b44556afaf5cf3c7c05e27a1b06ad3d4e82c9cba6d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "05db8deebaf87ce93b5958c2eebafa824254aeabc885bf05fb85326aec9d616b",
    "cross_cats_sorted": [
      "math.AG",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2018-11-27T18:51:03Z",
    "title_canon_sha256": "8c850436dcdb06c693b8435437af7fb9ce7308079509fe4d0f8cee116902da00"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1811.11159",
    "kind": "arxiv",
    "version": 4
  }
}