Pith Number

pith:OSHXAMUB

pith:2026:OSHXAMUB75IUSXSEH7VB4GDOXL

not attested not anchored not stored refs pending

Special unipotent representations and the coadjoint orbit method

Shilin Yu

arxiv:2607.20144 v1 · 2026-07-22 · 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{OSHXAMUB75IUSXSEH7VB4GDOXL}

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.

Cited by

1 paper in Pith

Lusztig's special pieces conjecture

Receipt and verification

First computed	2026-07-23T01:25:03.726266Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

748f703281ff51495e443fea1e186ebacd69ba6f52fbb30dded35f2f4a204c67

Aliases

arxiv: 2607.20144 · arxiv_version: 2607.20144v1 · doi: 10.48550/arxiv.2607.20144 · pith_short_12: OSHXAMUB75IU · pith_short_16: OSHXAMUB75IUSXSE · pith_short_8: OSHXAMUB

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/OSHXAMUB75IUSXSEH7VB4GDOXL \
  | 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: 748f703281ff51495e443fea1e186ebacd69ba6f52fbb30dded35f2f4a204c67

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "56a61f8408e6aed658a4b5a682efa4526be4fee110f0c68b8ebb9d2fc1477a4a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2026-07-22T13:45:59Z",
    "title_canon_sha256": "3faa74e63db85dc88488d8e581bea688e2047f2be965240b0a5843559d02c6b8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.20144",
    "kind": "arxiv",
    "version": 1
  }
}