Pith Number

pith:U4JFYM6Y

pith:2011:U4JFYM6YV2UKWRXGLVUARBSCY3

not attested not anchored not stored refs pending

(Alpha, Beta)-Fuzzy Subsemigroup and (Alpha, Beta)-Fuzzy Bi-ideal in Gamma- Semigroups

Bijan Davvaz, Samit Kumar Majumder, Soumitra Kayal, Sujit Kumar Sardar

arxiv:1102.0169 v1 · 2011-02-01 · math.GM

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{U4JFYM6YV2UKWRXGLVUARBSCY3}

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	2026-05-18T04:30:13.036350Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a7125c33d8aea8ab46e65d68088642c6e158656c87ce60b56572e2c22b1b9a4b

Aliases

arxiv: 1102.0169 · arxiv_version: 1102.0169v1 · doi: 10.48550/arxiv.1102.0169 · pith_short_12: U4JFYM6YV2UK · pith_short_16: U4JFYM6YV2UKWRXG · pith_short_8: U4JFYM6Y

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/U4JFYM6YV2UKWRXGLVUARBSCY3 \
  | 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: a7125c33d8aea8ab46e65d68088642c6e158656c87ce60b56572e2c22b1b9a4b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8a91af94c8518813131b8ab0fe8a5139d1de1a5bc85c969808c72bc9e527cd4f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GM",
    "submitted_at": "2011-02-01T14:46:50Z",
    "title_canon_sha256": "638e0b25b870e78d3fd032ef2712308586a11b6123fbffb85062ae9a2745d899"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.0169",
    "kind": "arxiv",
    "version": 1
  }
}