Pith Number

pith:HHN2FI7T

pith:2019:HHN2FI7TBAHMEMFOUGRPFLRX6J

not attested not anchored not stored refs pending

Characterization of Hopf Quasigroups

Shuanhong Wang, Wei Wang

arxiv:1902.10141 v1 · 2019-02-26 · 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{HHN2FI7TBAHMEMFOUGRPFLRX6J}

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	2026-05-17T23:52:31.609488Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

39dba2a3f3080ec230aea1a2f2ae37f26f8acc0e2e858a5551a9379ae83c4f84

Aliases

arxiv: 1902.10141 · arxiv_version: 1902.10141v1 · doi: 10.48550/arxiv.1902.10141 · pith_short_12: HHN2FI7TBAHM · pith_short_16: HHN2FI7TBAHMEMFO · pith_short_8: HHN2FI7T

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/HHN2FI7TBAHMEMFOUGRPFLRX6J \
  | 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: 39dba2a3f3080ec230aea1a2f2ae37f26f8acc0e2e858a5551a9379ae83c4f84

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e687f1b518d8da66090d53f8f5610c04ee15181ebce860d37293a05dd1e44d24",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2019-02-26T15:25:21Z",
    "title_canon_sha256": "4da7be0be3b83ee591cdf98ea72ed5fd6577b7e3f6e8e2b4ebfce9827346dded"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1902.10141",
    "kind": "arxiv",
    "version": 1
  }
}