Pith Number

pith:BLACD5GZ

pith:2015:BLACD5GZPY3NVUAUVVQUMMHSSJ

not attested not anchored not stored refs pending

Finite dimensional Hopf actions on central division algebras

Juan Cuadra, Pavel Etingof

arxiv:1508.01251 v4 · 2015-08-06 · math.RA · 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{BLACD5GZPY3NVUAUVVQUMMHSSJ}

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	2026-05-18T01:20:16.975965Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0ac021f4d97e36dad014ad614630f2926fe7d1de0f4b34ada9e2fa4840f6135e

Aliases

arxiv: 1508.01251 · arxiv_version: 1508.01251v4 · doi: 10.48550/arxiv.1508.01251 · pith_short_12: BLACD5GZPY3N · pith_short_16: BLACD5GZPY3NVUAU · pith_short_8: BLACD5GZ

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/BLACD5GZPY3NVUAUVVQUMMHSSJ \
  | 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: 0ac021f4d97e36dad014ad614630f2926fe7d1de0f4b34ada9e2fa4840f6135e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b2044827899568bd03c64158d161defce83d725dc9bb3bf30c9575b59fa24b75",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2015-08-06T00:21:16Z",
    "title_canon_sha256": "3a1321e55d78a03ba02db4323f81f0fd24c58cd6b84d6f671e75f3a62a8a0cca"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.01251",
    "kind": "arxiv",
    "version": 4
  }
}