Pith Number

pith:SJIBCR5Z

pith:2026:SJIBCR5Z26FYJF4UCWKDT63HAZ

not attested not anchored not stored refs pending

Betti-Whittaker periods of the contragredient representations for $\textrm{GL}(n)$

Binyong Sun, Dongwen Liu, Yubo Jin

arxiv:2606.23171 v1 · 2026-06-22 · math.RT · math.NT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SJIBCR5Z26FYJF4UCWKDT63HAZ}

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	2026-06-23T03:14:12.010577Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

92501147b9d78b849794159439fb67065f8cbdd9c461a6d9ce720b301d9c6155

Aliases

arxiv: 2606.23171 · arxiv_version: 2606.23171v1 · doi: 10.48550/arxiv.2606.23171 · pith_short_12: SJIBCR5Z26FY · pith_short_16: SJIBCR5Z26FYJF4U · pith_short_8: SJIBCR5Z

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/SJIBCR5Z26FYJF4UCWKDT63HAZ \
  | 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: 92501147b9d78b849794159439fb67065f8cbdd9c461a6d9ce720b301d9c6155

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f5d9302660003f7d36920662f4ff2e04836207cb504d2bd173885d38268a30b4",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2026-06-22T11:11:17Z",
    "title_canon_sha256": "42a1f469be2f8db23274b3e376bb2b4aded825e970d89d6e590be226b75d9501"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.23171",
    "kind": "arxiv",
    "version": 1
  }
}