Pith Number

pith:BRIWAYG2

pith:2011:BRIWAYG2QJ3DQAKXKMFIGQENAL

not attested not anchored not stored refs pending

The cubical complex of a permutation group representation - or however you want to call it

Pavol Severa, Thomas Willwacher

arxiv:1103.3283 v2 · 2011-03-16 · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BRIWAYG2QJ3DQAKXKMFIGQENAL}

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	2026-05-18T04:25:38.715567Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0c516060da8276380157530a83408d02c9cdf4a5005c8e7941d5bf58e55e8899

Aliases

arxiv: 1103.3283 · arxiv_version: 1103.3283v2 · doi: 10.48550/arxiv.1103.3283 · pith_short_12: BRIWAYG2QJ3D · pith_short_16: BRIWAYG2QJ3DQAKX · pith_short_8: BRIWAYG2

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/BRIWAYG2QJ3DQAKXKMFIGQENAL \
  | 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: 0c516060da8276380157530a83408d02c9cdf4a5005c8e7941d5bf58e55e8899

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0ca0f7add235445e2921d9c0822cb3cf7b79ad93db5229ec4a42b1182cdea11b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2011-03-16T20:05:03Z",
    "title_canon_sha256": "de9d7bab7bac0e48fd80bf984268c750d2f08a4c65e9b4c97d83fee7b958d45e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.3283",
    "kind": "arxiv",
    "version": 2
  }
}