pith. sign in
Pith Number

pith:ZKQBNWPY

pith:2016:ZKQBNWPYE2BDW2PMS3NR5J6WTW
not attested not anchored not stored refs pending

Weak clean index of a ring

Dhiren Kumar Basnet, Jayanta Bhattacharyya

arxiv:1612.08357 v1 · 2016-12-26 · math.RA

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{ZKQBNWPYE2BDW2PMS3NR5J6WTW}

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 2026-05-18T00:53:56.838546Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

caa016d9f826823b69ec96db1ea7d69d89cc900843d2b8f39c54c3917f0dd0cd

Aliases

arxiv: 1612.08357 · arxiv_version: 1612.08357v1 · doi: 10.48550/arxiv.1612.08357 · pith_short_12: ZKQBNWPYE2BD · pith_short_16: ZKQBNWPYE2BDW2PM · pith_short_8: ZKQBNWPY
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/ZKQBNWPYE2BDW2PMS3NR5J6WTW \
  | 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: caa016d9f826823b69ec96db1ea7d69d89cc900843d2b8f39c54c3917f0dd0cd
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "fcb759dce7b4e0bc1a3c05f1e254558c3f44253566263f01410b35d0e1228b09",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2016-12-26T10:14:34Z",
    "title_canon_sha256": "d379bb7eedae648da090fd62a402a908a4eca02f9cf9f8cf458a4891f744c631"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.08357",
    "kind": "arxiv",
    "version": 1
  }
}