Pith Number

pith:HYV6TO7Y

pith:2011:HYV6TO7Y4CQUKPJRYNNCQ2NB6Z

not attested not anchored not stored refs pending

Commuting categories for blocks and fusion systems

Adam Glesser, Markus Lickelmann

arxiv:1108.5375 v1 · 2011-08-26 · math.RT · math.AT · 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{HYV6TO7Y4CQUKPJRYNNCQ2NB6Z}

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	2026-05-18T04:14:38.474398Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3e2be9bbf8e0a1453d31c35a2869a1f64a5a3a7a08d0556f687995ec4e5aae0e

Aliases

arxiv: 1108.5375 · arxiv_version: 1108.5375v1 · doi: 10.48550/arxiv.1108.5375 · pith_short_12: HYV6TO7Y4CQU · pith_short_16: HYV6TO7Y4CQUKPJR · pith_short_8: HYV6TO7Y

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/HYV6TO7Y4CQUKPJRYNNCQ2NB6Z \
  | 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: 3e2be9bbf8e0a1453d31c35a2869a1f64a5a3a7a08d0556f687995ec4e5aae0e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "304b6e96c44a96f5c2eb7cf5c9bb73da723d1690948227dea5adca7784e54e49",
    "cross_cats_sorted": [
      "math.AT",
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2011-08-26T19:24:26Z",
    "title_canon_sha256": "afcfe1c2cc8ed952870b1c12934124c21d6974e2a26d3e3036b8ee39de7d5de7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.5375",
    "kind": "arxiv",
    "version": 1
  }
}