Pith Number

pith:WBJUZSKI

pith:2025:WBJUZSKIXQV5JE4UBKMWPUZRFO

not attested not anchored not stored refs pending

Non-negligible summands in tensor powers of some modular representations of finite $p$-groups

Justin Zhang, Kent B. Vashaw

arxiv:2508.15730 v2 · 2025-08-21 · math.RT · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WBJUZSKIXQV5JE4UBKMWPUZRFO}

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	2026-05-20T00:04:12.679665Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b0534cc948bc2bd493940a9967d3312bb79a6c1580ccc98c3ce30d2f39085d65

Aliases

arxiv: 2508.15730 · arxiv_version: 2508.15730v2 · doi: 10.48550/arxiv.2508.15730 · pith_short_12: WBJUZSKIXQV5 · pith_short_16: WBJUZSKIXQV5JE4U · pith_short_8: WBJUZSKI

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/WBJUZSKIXQV5JE4UBKMWPUZRFO \
  | 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: b0534cc948bc2bd493940a9967d3312bb79a6c1580ccc98c3ce30d2f39085d65

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a23974cf98e5dcafd5ac99823a77364667f30efe97c9c587a91be062f1289b2d",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2025-08-21T17:19:10Z",
    "title_canon_sha256": "b9fafbe594aa5dc169da967de1ebe2e321927b9a55c9adfa8391cf2586310742"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2508.15730",
    "kind": "arxiv",
    "version": 2
  }
}