Pith Number

pith:MFKEZX4W

pith:2014:MFKEZX4WYWNYWVIY22ZAA36CHS

not attested not anchored not stored refs pending

Weak Multiplier Hopf Algebras II. The source and target algebras

Alfons Van Daele, Shuanhong Wang

arxiv:1403.7906 v2 · 2014-03-31 · 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{MFKEZX4WYWNYWVIY22ZAA36CHS}

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	2026-05-18T01:31:53.454523Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

61544cdf96c59b8b5518d6b2006fc23cb85b216523daa4543ac298f82c3144e8

Aliases

arxiv: 1403.7906 · arxiv_version: 1403.7906v2 · doi: 10.48550/arxiv.1403.7906 · pith_short_12: MFKEZX4WYWNY · pith_short_16: MFKEZX4WYWNYWVIY · pith_short_8: MFKEZX4W

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/MFKEZX4WYWNYWVIY22ZAA36CHS \
  | 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: 61544cdf96c59b8b5518d6b2006fc23cb85b216523daa4543ac298f82c3144e8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4fb4f5288ffb6d7139da6800b03f1691e17bdfbade8da174e8b189ef9db642d0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2014-03-31T08:20:39Z",
    "title_canon_sha256": "b44711ba73096f5f34ec5face9fbe9ece22081436283b3f50f6dedccff4b943a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1403.7906",
    "kind": "arxiv",
    "version": 2
  }
}