pith. sign in
Pith Number

pith:F6IKDSWE

pith:2011:F6IKDSWEYI6H3EGI7K2CWLYZLN
not attested not anchored not stored refs pending

On Fuzzy Bi-ideals and Fuzzy Quasi Ideals in Gamma-Semigroups

Samit Kumar Majumder, Soumitra Kayal, Sujit Kumar Sardar

arxiv:1101.4720 v1 · 2011-01-25 · math.GM

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{F6IKDSWEYI6H3EGI7K2CWLYZLN}

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 2026-05-18T04:30:25.198294Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

2f90a1cac4c23c7d90c8fab42b2f195b6397157319b325ee46063f869fb72524

Aliases

arxiv: 1101.4720 · arxiv_version: 1101.4720v1 · doi: 10.48550/arxiv.1101.4720 · pith_short_12: F6IKDSWEYI6H · pith_short_16: F6IKDSWEYI6H3EGI · pith_short_8: F6IKDSWE
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/F6IKDSWEYI6H3EGI7K2CWLYZLN \
  | 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: 2f90a1cac4c23c7d90c8fab42b2f195b6397157319b325ee46063f869fb72524
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "a4d67d2eb6c0905efb99cf947d597b11121b2325fcc9da2b489b24b233b526fc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GM",
    "submitted_at": "2011-01-25T04:39:49Z",
    "title_canon_sha256": "0f44a73d5220941d06fcbfee22c62fa650ce7d3c4dcef7cf27dc259ab58f396b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.4720",
    "kind": "arxiv",
    "version": 1
  }
}