Pith Number

pith:QZODYSB7

pith:2011:QZODYSB7KKVZ62DOYJZJOWMLWC

not attested not anchored not stored refs pending

Fuzzy h-ideals of a $\Gamma-$hemiring and its operator hemirings

B. Davvaz, D. Mandal, S. K. Sardar

arxiv:1101.4787 v1 · 2011-01-25 · 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{QZODYSB7KKVZ62DOYJZJOWMLWC}

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	2026-05-18T04:05:47.087362Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

865c3c483f52ab9f686ec27297598bb080a24562524e0788daad5e0b3f293b6d

Aliases

arxiv: 1101.4787 · arxiv_version: 1101.4787v1 · doi: 10.48550/arxiv.1101.4787 · pith_short_12: QZODYSB7KKVZ · pith_short_16: QZODYSB7KKVZ62DO · pith_short_8: QZODYSB7

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/QZODYSB7KKVZ62DOYJZJOWMLWC \
  | 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: 865c3c483f52ab9f686ec27297598bb080a24562524e0788daad5e0b3f293b6d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3a321fce807ab49d90c6a1cb5883a3dde2407fe1790148f51deb80df2b62b996",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GM",
    "submitted_at": "2011-01-25T12:19:31Z",
    "title_canon_sha256": "3b704f5d99fce0b7fb74195e3f12c9cb4784e60f17170e20c85ddb214fd3eefd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.4787",
    "kind": "arxiv",
    "version": 1
  }
}