Pith Number

pith:WV7Q2DI6

pith:2015:WV7Q2DI6RJVZDVX5PGFVCXO4DR

not attested not anchored not stored refs pending

On involutions in symmetric groups and a conjecture of Lusztig

Jing Zhang, Jun Hu

arxiv:1507.00872 v1 · 2015-07-03 · 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{WV7Q2DI6RJVZDVX5PGFVCXO4DR}

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	2026-05-18T01:37:22.374995Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b57f0d0d1e8a6b91d6fd798b515ddc1c76c5cd03edbd193d488976b49053fd3b

Aliases

arxiv: 1507.00872 · arxiv_version: 1507.00872v1 · doi: 10.48550/arxiv.1507.00872 · pith_short_12: WV7Q2DI6RJVZ · pith_short_16: WV7Q2DI6RJVZDVX5 · pith_short_8: WV7Q2DI6

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/WV7Q2DI6RJVZDVX5PGFVCXO4DR \
  | 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: b57f0d0d1e8a6b91d6fd798b515ddc1c76c5cd03edbd193d488976b49053fd3b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9004124afd7ebd0bc4d7de0d04720cbc739a082e7b8685afffe77110ccabfaf8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2015-07-03T11:06:21Z",
    "title_canon_sha256": "83436940d623f3d50484a1935a50c128ee0bacaa69532f9edacbe99c17fd8281"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.00872",
    "kind": "arxiv",
    "version": 1
  }
}