Pith Number

pith:DV4TI7LR

pith:2025:DV4TI7LRWF4MWXM6VC32EWBDKI

not attested not anchored not stored refs pending

Quasi-Whittaker modules

Cunguang Cheng, Kaiming Zhao, Shiyuan Liu, Wenting Gao, Yueqiang Zhao

arxiv:2508.05917 v1 · 2025-08-08 · math.RT · math.QA · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DV4TI7LRWF4MWXM6VC32EWBDKI}

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	2026-07-05T11:50:45.414342Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1d79347d71b178cb5d9ea8b7a258235205dded916771675d52748036422627d8

Aliases

arxiv: 2508.05917 · arxiv_version: 2508.05917v1 · doi: 10.48550/arxiv.2508.05917 · pith_short_12: DV4TI7LRWF4M · pith_short_16: DV4TI7LRWF4MWXM6 · pith_short_8: DV4TI7LR

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/DV4TI7LRWF4MWXM6VC32EWBDKI \
  | 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: 1d79347d71b178cb5d9ea8b7a258235205dded916771675d52748036422627d8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "662d9af87dec303c00d3c3a75c2138a064b7d501833c50794ba31c5862076cc4",
    "cross_cats_sorted": [
      "math.QA",
      "math.RA"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2025-08-08T00:32:13Z",
    "title_canon_sha256": "606fdeb3c441cb53e0b2d1be5bfa277368c9b61f71ed12025a313d98eb980bfc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2508.05917",
    "kind": "arxiv",
    "version": 1
  }
}