Pith Number

pith:PEBEE67T

pith:2019:PEBEE67T5XNOAK7ZYITKBFOSKA

not attested not anchored not stored refs pending

Mod-$p$ maximal compact inductions do not have irreducible admissible subrepresentations

Peng Xu

arxiv:1907.11500 v1 · 2019-07-26 · 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{PEBEE67T5XNOAK7ZYITKBFOSKA}

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	2026-05-17T23:39:28.934218Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7902427bf3eddae02bf9c226a095d2502248ce7b5537e0c41c87108255e35c2e

Aliases

arxiv: 1907.11500 · arxiv_version: 1907.11500v1 · doi: 10.48550/arxiv.1907.11500 · pith_short_12: PEBEE67T5XNO · pith_short_16: PEBEE67T5XNOAK7Z · pith_short_8: PEBEE67T

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/PEBEE67T5XNOAK7ZYITKBFOSKA \
  | 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: 7902427bf3eddae02bf9c226a095d2502248ce7b5537e0c41c87108255e35c2e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9de8fca510882799afdd0866813f265d2b450c10075619b98a552dd83d96d590",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2019-07-26T11:54:09Z",
    "title_canon_sha256": "c6917ce79f6f9cd211be5b37b39125c40f14df3d6b42b50c730bdeac275fc1ef"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.11500",
    "kind": "arxiv",
    "version": 1
  }
}