Pith Number

pith:CDUJ22SN

pith:2012:CDUJ22SNU6G7ZSLQZTHLXANCKW

not attested not anchored not stored refs pending

Hopf actions and Nakayama automorphisms

Chelsea Walton, James Zhang, Kenneth Chan

arxiv:1210.6432 v2 · 2012-10-24 · 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{CDUJ22SNU6G7ZSLQZTHLXANCKW}

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	2026-05-18T02:54:47.209794Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

10e89d6a4da78dfcc970cccebb81a255b3605c7afc03dd505f851a8382d3a04d

Aliases

arxiv: 1210.6432 · arxiv_version: 1210.6432v2 · doi: 10.48550/arxiv.1210.6432 · pith_short_12: CDUJ22SNU6G7 · pith_short_16: CDUJ22SNU6G7ZSLQ · pith_short_8: CDUJ22SN

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/CDUJ22SNU6G7ZSLQZTHLXANCKW \
  | 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: 10e89d6a4da78dfcc970cccebb81a255b3605c7afc03dd505f851a8382d3a04d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "56d365bcc3341e32a31ca970d631275f4abcd947bfcb69f306146a39983622d6",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2012-10-24T04:03:57Z",
    "title_canon_sha256": "3d3ab0d516d1758ff636ba04f7f137921802fe60b8eb3779d0c28d0dccd32052"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.6432",
    "kind": "arxiv",
    "version": 2
  }
}