Pith Number

pith:T3DC6AQ3

pith:2013:T3DC6AQ32GDIZK4VHB564RXCJJ

not attested not anchored not stored refs pending

Examples of polynomial identities distinguishing the Galois objects over finite-dimensional Hopf algebras

Christian Kassel

arxiv:1302.1769 v3 · 2013-02-07 · 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{T3DC6AQ32GDIZK4VHB564RXCJJ}

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	2026-05-18T02:56:32.842436Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9ec62f021bd1868cab95387bee46e24a5eda34f0d51b1b8fa8958294c370dc66

Aliases

arxiv: 1302.1769 · arxiv_version: 1302.1769v3 · doi: 10.48550/arxiv.1302.1769 · pith_short_12: T3DC6AQ32GDI · pith_short_16: T3DC6AQ32GDIZK4V · pith_short_8: T3DC6AQ3

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/T3DC6AQ32GDIZK4VHB564RXCJJ \
  | 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: 9ec62f021bd1868cab95387bee46e24a5eda34f0d51b1b8fa8958294c370dc66

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c688c1d5236dce374f2a5dabd69af6e20b9a4848191cab77dc92485bca0307f9",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2013-02-07T14:58:09Z",
    "title_canon_sha256": "eaa38a0b0872a25cfbcdd0f52f0eec38c0708341d1fa53b859fb859d006c441b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.1769",
    "kind": "arxiv",
    "version": 3
  }
}