Pith Number

pith:MFGNNUBV

pith:2019:MFGNNUBVEQLBXWWGAMURSPE6A7

not attested not anchored not stored refs pending

The structures of Hopf $\ast$-algebra on Radford algebras

Hassan Suleman Esmael Mohammed, Hui-Xiang Chen

arxiv:1903.02254 v1 · 2019-03-06 · 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{MFGNNUBVEQLBXWWGAMURSPE6A7}

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	2026-05-17T23:51:56.381588Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

614cd6d03524161bdac60329193c9e07fa86b594c5b6bf6ebb1c5e21305581c6

Aliases

arxiv: 1903.02254 · arxiv_version: 1903.02254v1 · doi: 10.48550/arxiv.1903.02254 · pith_short_12: MFGNNUBVEQLB · pith_short_16: MFGNNUBVEQLBXWWG · pith_short_8: MFGNNUBV

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/MFGNNUBVEQLBXWWGAMURSPE6A7 \
  | 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: 614cd6d03524161bdac60329193c9e07fa86b594c5b6bf6ebb1c5e21305581c6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "67de6f1226fb6bdc418892a32c309bc95e95524087a73a7103a4d821afbc40ac",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2019-03-06T09:12:52Z",
    "title_canon_sha256": "63c7ab30da80681fc03a89899f26eaa681de563b4756b057c885d04a886fc777"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1903.02254",
    "kind": "arxiv",
    "version": 1
  }
}