Pith Number

pith:5GU5XHDG

pith:2018:5GU5XHDGO7UK3KNPGGKB3C35LP

not attested not anchored not stored refs pending

A correspondence between homogeneous and Galois coactions of Hopf algebras

Johan Konings, Kenny De Commer

arxiv:1807.08504 v1 · 2018-07-23 · math.QA · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5GU5XHDGO7UK3KNPGGKB3C35LP}

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	2026-05-18T00:10:07.823708Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e9a9db9c6677e8ada9af31941d8b7d5bc011e86045eb991d5f0f4787c2640724

Aliases

arxiv: 1807.08504 · arxiv_version: 1807.08504v1 · doi: 10.48550/arxiv.1807.08504 · pith_short_12: 5GU5XHDGO7UK · pith_short_16: 5GU5XHDGO7UK3KNP · pith_short_8: 5GU5XHDG

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/5GU5XHDGO7UK3KNPGGKB3C35LP \
  | 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: e9a9db9c6677e8ada9af31941d8b7d5bc011e86045eb991d5f0f4787c2640724

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5315a4a484437577461f74305d97c4bf01e63076d28aa542641712337039b08d",
    "cross_cats_sorted": [
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2018-07-23T09:39:04Z",
    "title_canon_sha256": "4ee7885278e80b68f5aac191b717ed674630af0fdac7de7dd39648433a0ed285"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.08504",
    "kind": "arxiv",
    "version": 1
  }
}