Pith Number

pith:E7MH3YWW

pith:2016:E7MH3YWW7JGZNCCL5QA7KDAUPZ

not attested not anchored not stored refs pending

Generalised noncommutative geometry on finite groups and Hopf quivers

Shahn Majid, Wenqing Tao

arxiv:1612.09258 v1 · 2016-12-29 · math.QA · 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{E7MH3YWW7JGZNCCL5QA7KDAUPZ}

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	2026-05-18T00:53:46.149914Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

27d87de2d6fa4d96884bec01f50c147e6c2e5a4b55ffef6e2389a8ef5691eeb7

Aliases

arxiv: 1612.09258 · arxiv_version: 1612.09258v1 · doi: 10.48550/arxiv.1612.09258 · pith_short_12: E7MH3YWW7JGZ · pith_short_16: E7MH3YWW7JGZNCCL · pith_short_8: E7MH3YWW

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/E7MH3YWW7JGZNCCL5QA7KDAUPZ \
  | 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: 27d87de2d6fa4d96884bec01f50c147e6c2e5a4b55ffef6e2389a8ef5691eeb7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a3de2d34b4c8295fbcf944afe2c3cd091e2da2675544da18536937e700c7c7b0",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2016-12-29T19:35:36Z",
    "title_canon_sha256": "429a24f6ef9c2e32b6875dacb56612d689c8f592b82d2739b7e88b97bbc4c55e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.09258",
    "kind": "arxiv",
    "version": 1
  }
}