Pith Number

pith:7XOGD2OJ

pith:2024:7XOGD2OJJS642NLJPCQIEOWTUB

not attested not anchored not stored refs pending

A characterization of unitarity of some highest weight Harish-Chandra modules

Markus Hunziker, Zhanqiang Bai

arxiv:2409.16555 v1 · 2024-09-25 · 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{7XOGD2OJJS642NLJPCQIEOWTUB}

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	2026-07-05T09:11:35.773449Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fddc61e9c94cbdcd356978a0823ad3a045eac7e854d1ba1848674d38fb29ccdd

Aliases

arxiv: 2409.16555 · arxiv_version: 2409.16555v1 · doi: 10.48550/arxiv.2409.16555 · pith_short_12: 7XOGD2OJJS64 · pith_short_16: 7XOGD2OJJS642NLJ · pith_short_8: 7XOGD2OJ

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/7XOGD2OJJS642NLJPCQIEOWTUB \
  | 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: fddc61e9c94cbdcd356978a0823ad3a045eac7e854d1ba1848674d38fb29ccdd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "92adaac7fa152b251333a3d59d61ffac8fbca02952591a9167b2ab268b575901",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2024-09-25T02:06:23Z",
    "title_canon_sha256": "b0e1991a5e8a8ef61d359a8533f18ba29e9762550a6335919d0a6f19e76ecf71"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2409.16555",
    "kind": "arxiv",
    "version": 1
  }
}