Pith Number

pith:IJN2LNYG

pith:2012:IJN2LNYGN3OO7YPVRUO3T6RCDX

not attested not anchored not stored refs pending

Finite-dimensional Pointed or Copointed Hopf algebras over affine racks

Agust\'in Garc\'ia Iglesias, Cristian Vay

arxiv:1210.6396 v3 · 2012-10-23 · 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{IJN2LNYGN3OO7YPVRUO3T6RCDX}

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	2026-05-18T03:14:53.105891Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

425ba5b7066edcefe1f58d1db9fa221dcd9e5dfd7667ddf424c838828bd44ce3

Aliases

arxiv: 1210.6396 · arxiv_version: 1210.6396v3 · doi: 10.48550/arxiv.1210.6396 · pith_short_12: IJN2LNYGN3OO · pith_short_16: IJN2LNYGN3OO7YPV · pith_short_8: IJN2LNYG

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/IJN2LNYGN3OO7YPVRUO3T6RCDX \
  | 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: 425ba5b7066edcefe1f58d1db9fa221dcd9e5dfd7667ddf424c838828bd44ce3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aa24105734502c9da52a1c53a2c0f2b6174e0999c355e9cf7e529c24dc8b68be",
    "cross_cats_sorted": [
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2012-10-23T22:03:54Z",
    "title_canon_sha256": "163404719411b8c87c2496823a3fad18b969425d474db1c68edb48550d671061"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.6396",
    "kind": "arxiv",
    "version": 3
  }
}