Pith Number

pith:WUVTKU2S

pith:2011:WUVTKU2SOHLVLGTS2G6Q5YKAZO

not attested not anchored not stored refs pending

Unified products and split extensions of Hopf algebras

A. L. Agore, G. Militaru

arxiv:1105.1474 v3 · 2011-05-07 · 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{WUVTKU2SOHLVLGTS2G6Q5YKAZO}

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	2026-05-18T02:58:30.972276Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b52b35535271d7559a72d1bd0ee140cb8fa3304859f2f9a7f5d4fbe7289c9f8e

Aliases

arxiv: 1105.1474 · arxiv_version: 1105.1474v3 · doi: 10.48550/arxiv.1105.1474 · pith_short_12: WUVTKU2SOHLV · pith_short_16: WUVTKU2SOHLVLGTS · pith_short_8: WUVTKU2S

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/WUVTKU2SOHLVLGTS2G6Q5YKAZO \
  | 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: b52b35535271d7559a72d1bd0ee140cb8fa3304859f2f9a7f5d4fbe7289c9f8e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1487135d6fca9c55de1cab2201ce0730378ad70d04f124d8856c5fca8f788a83",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2011-05-07T21:04:28Z",
    "title_canon_sha256": "60d05c7a1e03c716ab196516587f5be7c82b77e6b27a75e34aa13c78ac1ed340"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.1474",
    "kind": "arxiv",
    "version": 3
  }
}