Pith Number

pith:OS73CERT

pith:2017:OS73CERTXCGBWGDRWF36DCRZDT

not attested not anchored not stored refs pending

The spectral side of stable local trace formula for real groups

Chung Pang Mok, Zhifeng Peng

arxiv:1708.09241 v4 · 2017-08-30 · 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{OS73CERTXCGBWGDRWF36DCRZDT}

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	2026-05-17T23:59:17.982236Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

74bfb11233b88c1b1871b177e18a391cfafb6c5f376f4fb593be0a8d761e9066

Aliases

arxiv: 1708.09241 · arxiv_version: 1708.09241v4 · doi: 10.48550/arxiv.1708.09241 · pith_short_12: OS73CERTXCGB · pith_short_16: OS73CERTXCGBWGDR · pith_short_8: OS73CERT

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/OS73CERTXCGBWGDRWF36DCRZDT \
  | 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: 74bfb11233b88c1b1871b177e18a391cfafb6c5f376f4fb593be0a8d761e9066

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cf351325175df660dea1a5c081817ef0c5d949e71c5fce251db6ca9e64d52940",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2017-08-30T12:41:16Z",
    "title_canon_sha256": "23b9d1fd987c73c2345871b58e58e56cc8323375e5c0a78a17b693eb5cf9c0a2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.09241",
    "kind": "arxiv",
    "version": 4
  }
}