Pith Number

pith:I6YAZ56Q

pith:2016:I6YAZ56QPOHTP2U6CWR4FO2BPW

not attested not anchored not stored refs pending

Brauer relations for finite groups in the ring of semisimplified modular representations

Matthew Spencer

arxiv:1610.07397 v5 · 2016-10-24 · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{I6YAZ56QPOHTP2U6CWR4FO2BPW}

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	2026-05-18T00:17:55.142867Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

47b00cf7d07b8f37ea9e15a3c2bb417d90b10df966a7358e63d86852feac0c47

Aliases

arxiv: 1610.07397 · arxiv_version: 1610.07397v5 · doi: 10.48550/arxiv.1610.07397 · pith_short_12: I6YAZ56QPOHT · pith_short_16: I6YAZ56QPOHTP2U6 · pith_short_8: I6YAZ56Q

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/I6YAZ56QPOHTP2U6CWR4FO2BPW \
  | 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: 47b00cf7d07b8f37ea9e15a3c2bb417d90b10df966a7358e63d86852feac0c47

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7c7efdc47b0058a6f9ecb99cae30e3380778ec550bc500af48666bba88593e94",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2016-10-24T13:14:34Z",
    "title_canon_sha256": "a7fbec12b0126bc4bf58c9205b02a63c833aca53d53d089be7fed1e18932c6c6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.07397",
    "kind": "arxiv",
    "version": 5
  }
}