Pith Number

pith:5KOW4LZO

pith:2014:5KOW4LZOMWHJ35JXRVMFN2GSWK

not attested not anchored not stored refs pending

Dual Constructions for Partial Actions of Hopf Algebras

Eliezer Batista, Joost Vercruysse

arxiv:1403.1399 v3 · 2014-03-06 · 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{5KOW4LZOMWHJ35JXRVMFN2GSWK}

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	2026-05-18T02:18:58.455523Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ea9d6e2f2e658e9df5378d5856e8d2b293c327103132de4b354907a8a352ae8a

Aliases

arxiv: 1403.1399 · arxiv_version: 1403.1399v3 · doi: 10.48550/arxiv.1403.1399 · pith_short_12: 5KOW4LZOMWHJ · pith_short_16: 5KOW4LZOMWHJ35JX · pith_short_8: 5KOW4LZO

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/5KOW4LZOMWHJ35JXRVMFN2GSWK \
  | 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: ea9d6e2f2e658e9df5378d5856e8d2b293c327103132de4b354907a8a352ae8a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "655a59f1cab9c29c4c83371184a7b3740f2b6953d1afa91a966ff2c02e80b38f",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2014-03-06T10:41:00Z",
    "title_canon_sha256": "b1061bd032fdb394ebe6437556fb901d3b2e47de07e60418ef6ba048cf020126"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1403.1399",
    "kind": "arxiv",
    "version": 3
  }
}