pith. sign in
Pith Number

pith:W2NKPHJY

pith:2017:W2NKPHJYF5CEQVPXHAEACAJAPU
not attested not anchored not stored refs pending

*-DMP elements in $*$-semigroups and $*$-rings

Jianlong Chen, Yuanyuan Ke, Yuefeng Gao

arxiv:1701.00621 v2 · 2017-01-03 · 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{W2NKPHJYF5CEQVPXHAEACAJAPU}

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 2026-05-18T00:46:38.197687Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

b69aa79d382f444855f738080101207d18393fcb94cddfbdb2e9b25c6d8b2468

Aliases

arxiv: 1701.00621 · arxiv_version: 1701.00621v2 · doi: 10.48550/arxiv.1701.00621 · pith_short_12: W2NKPHJYF5CE · pith_short_16: W2NKPHJYF5CEQVPX · pith_short_8: W2NKPHJY
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/W2NKPHJYF5CEQVPXHAEACAJAPU \
  | 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: b69aa79d382f444855f738080101207d18393fcb94cddfbdb2e9b25c6d8b2468
Canonical record JSON 
{
  "metadata": {
    "abstract_canon_sha256": "826bb35fe7b0a596fda6b8ea8c29cab9a5230582c17304c5fdba311ea94505c9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2017-01-03T10:27:09Z",
    "title_canon_sha256": "be09d57f4144644b805e44d011ca96f6f4385ab2efd2b320ed7101b1eb4ea077"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1701.00621",
    "kind": "arxiv",
    "version": 2
  }
}