Pith Number

pith:ZGILZUN4

pith:2015:ZGILZUN4ZGLREQ7WIAAUY3S4AK

not attested not anchored not stored refs pending

On a question of K\"ulshammer for representations of finite groups in reductive groups

Benjamin Martin, Gerhard R\"ohrle, Michael Bate

arxiv:1505.00377 v2 · 2015-05-02 · 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{ZGILZUN4ZGLREQ7WIAAUY3S4AK}

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	2026-05-18T02:03:59.484024Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c990bcd1bcc9971243f640014c6e5c02ab126a15f79b3389feada53c20a4510b

Aliases

arxiv: 1505.00377 · arxiv_version: 1505.00377v2 · doi: 10.48550/arxiv.1505.00377 · pith_short_12: ZGILZUN4ZGLR · pith_short_16: ZGILZUN4ZGLREQ7W · pith_short_8: ZGILZUN4

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/ZGILZUN4ZGLREQ7WIAAUY3S4AK \
  | 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: c990bcd1bcc9971243f640014c6e5c02ab126a15f79b3389feada53c20a4510b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dc79e019ccf56227cd69b8ec7c733aa9fc5595c249ba03c6c645e868983dbf77",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2015-05-02T22:42:04Z",
    "title_canon_sha256": "1955e9926fa0e1e0f1c52f6c3218e3c632c5568d46e62bf062f82c306bfbf068"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.00377",
    "kind": "arxiv",
    "version": 2
  }
}