Pith Number

pith:WS5DVENQ

pith:2012:WS5DVENQLLQMITNRYXYXXE36XC

not attested not anchored not stored refs pending

Classifying bicrossed products of Hopf algebras

A. L. Agore, C. G. Bontea, G. Militaru

arxiv:1205.6110 v4 · 2012-05-28 · 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{WS5DVENQLLQMITNRYXYXXE36XC}

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	2026-05-18T02:58:23.711585Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b4ba3a91b05ae0c44db1c5f17b937eb887e1f3c669e6105b844cca833bea04dd

Aliases

arxiv: 1205.6110 · arxiv_version: 1205.6110v4 · doi: 10.48550/arxiv.1205.6110 · pith_short_12: WS5DVENQLLQM · pith_short_16: WS5DVENQLLQMITNR · pith_short_8: WS5DVENQ

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/WS5DVENQLLQMITNRYXYXXE36XC \
  | 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: b4ba3a91b05ae0c44db1c5f17b937eb887e1f3c669e6105b844cca833bea04dd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "245694b8bce2e5fb9e3d5d8a11e48b41b90b709d63708959f5c998c9ed641a16",
    "cross_cats_sorted": [
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2012-05-28T13:37:48Z",
    "title_canon_sha256": "b14ed6c985dacdac003c41c2309d225590c0ddb43d0334417de1d98b5b9a3f3c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.6110",
    "kind": "arxiv",
    "version": 4
  }
}