Pith Number

pith:WJVLDXZ2

pith:2018:WJVLDXZ2XYTAKT5CWPVCEHBXQP

not attested not anchored not stored refs pending

A geometric interpretation of Kirillov's Conjecture

Gang Liu, Jun Yu

arxiv:1806.06318 v2 · 2018-06-17 · 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{WJVLDXZ2XYTAKT5CWPVCEHBXQP}

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	2026-05-18T00:10:16.544962Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b26ab1df3abe26054fa2b3ea221c3783fbbf31c997c88a4c11c9ae548ab9cc3a

Aliases

arxiv: 1806.06318 · arxiv_version: 1806.06318v2 · doi: 10.48550/arxiv.1806.06318 · pith_short_12: WJVLDXZ2XYTA · pith_short_16: WJVLDXZ2XYTAKT5C · pith_short_8: WJVLDXZ2

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/WJVLDXZ2XYTAKT5CWPVCEHBXQP \
  | 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: b26ab1df3abe26054fa2b3ea221c3783fbbf31c997c88a4c11c9ae548ab9cc3a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "176602e18ff3ae1e86c3db78849fa982bab17e9c24bbff3728218d6049236791",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2018-06-17T00:49:18Z",
    "title_canon_sha256": "ee7ac8fb2b2d9ab003b2bfaaec21ad1b2ddd1e085096202682b1b5f1ccfaa72a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1806.06318",
    "kind": "arxiv",
    "version": 2
  }
}