Pith Number

pith:4XOT6LSX

pith:2011:4XOT6LSXGE6ECWGQUSKYDJRGFQ

not attested not anchored not stored refs pending

Operations on fuzzy ideals of $\Gamma$-semirings

Sarbani Goswami, Sujit Kumar Sardar, T. K. Dutta

arxiv:1101.4791 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{4XOT6LSXGE6ECWGQUSKYDJRGFQ}

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	2026-05-18T04:05:47.082123Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e5dd3f2e57313c4158d0a49581a6262c3c071308c1a4f270e4ce8ef02ec0d414

Aliases

arxiv: 1101.4791 · arxiv_version: 1101.4791v1 · doi: 10.48550/arxiv.1101.4791 · pith_short_12: 4XOT6LSXGE6E · pith_short_16: 4XOT6LSXGE6ECWGQ · pith_short_8: 4XOT6LSX

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/4XOT6LSXGE6ECWGQUSKYDJRGFQ \
  | 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: e5dd3f2e57313c4158d0a49581a6262c3c071308c1a4f270e4ce8ef02ec0d414

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b6eede556911ba218832029fc1905b67a981e205be71bff64777b38789c5eb21",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GM",
    "submitted_at": "2011-01-25T12:37:27Z",
    "title_canon_sha256": "2a23cc3da0bbd93c257b881a6a69df6ac0e9a7bf450bad5594382fab0fcf2394"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.4791",
    "kind": "arxiv",
    "version": 1
  }
}