Pith Number

pith:QRI3MMI2

pith:2015:QRI3MMI2Q4SEGB4UOEPVQ3LD7T

not attested not anchored not stored refs pending

The Brauer trees of non-crystallographic groups of Lie type

David A. Craven

arxiv:1507.01884 v1 · 2015-07-07 · 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{QRI3MMI2Q4SEGB4UOEPVQ3LD7T}

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	2026-05-18T01:37:12.178015Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8451b6311a8724430794711f586d63fcf83d48f11b7d29b52dc40698d2ee7477

Aliases

arxiv: 1507.01884 · arxiv_version: 1507.01884v1 · doi: 10.48550/arxiv.1507.01884 · pith_short_12: QRI3MMI2Q4SE · pith_short_16: QRI3MMI2Q4SEGB4U · pith_short_8: QRI3MMI2

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/QRI3MMI2Q4SEGB4UOEPVQ3LD7T \
  | 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: 8451b6311a8724430794711f586d63fcf83d48f11b7d29b52dc40698d2ee7477

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a9b111c2961e3bb9bbd03edd3a016d148cb40fc4751cf0216c49264acd1e9113",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2015-07-07T17:13:02Z",
    "title_canon_sha256": "8d6446d6b2e58d3e68bb64f5df330c2482f44f82da0855361bcb9d415fec8f62"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.01884",
    "kind": "arxiv",
    "version": 1
  }
}