Pith Number

pith:TOQXZTCM

pith:2026:TOQXZTCM7YUDOP5VWTHRWO4KNK

not attested not anchored not stored refs pending

Arithmetic Wavefront Set and Microlocal Structure of Harish-Chandra Character

Dihua Jiang, Dongwen Liu, Jia-Jun Ma, Lei Zhang, Zhikang Luo

arxiv:2606.05735 v1 · 2026-06-04 · 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{TOQXZTCM7YUDOP5VWTHRWO4KNK}

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	2026-06-05T01:15:01.096872Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9ba17ccc4cfe28373fb5b4cf1b3b8a6ab3ce05312c2af94342b13d4221160fe0

Aliases

arxiv: 2606.05735 · arxiv_version: 2606.05735v1 · doi: 10.48550/arxiv.2606.05735 · pith_short_12: TOQXZTCM7YUD · pith_short_16: TOQXZTCM7YUDOP5V · pith_short_8: TOQXZTCM

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/TOQXZTCM7YUDOP5VWTHRWO4KNK \
  | 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: 9ba17ccc4cfe28373fb5b4cf1b3b8a6ab3ce05312c2af94342b13d4221160fe0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6987807370d56efcc2e3d192fa9f57410c1dc33ccc91881f61c3efdd72ce323b",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2026-06-04T05:52:37Z",
    "title_canon_sha256": "195a72826d43e1df95cb42e6417c1a5fc955605dfc40ad1072a8ecad2949d4fe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.05735",
    "kind": "arxiv",
    "version": 1
  }
}