Pith. sign in
Pith Number

pith:R7J3YDML

pith:2024:R7J3YDMLZ33U7GEAXCG6QOC2ZU
not attested not anchored not stored refs pending

A comparison of arithmetical operations with $f$ correlated fuzzy numbers

Diogo Sampaio da Silva, Roberto Antonio Cordeiro Prata

arxiv:2412.00046 v3 · 2024-11-23 · math.GM

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{R7J3YDMLZ33U7GEAXCG6QOC2ZU}

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 2026-07-05T10:50:45.661978Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

8fd3bc0d8bcef74f9880b88de8385acd39f4931214ba18d69aa6968104860977

Aliases

arxiv: 2412.00046 · arxiv_version: 2412.00046v3 · doi: 10.48550/arxiv.2412.00046 · pith_short_12: R7J3YDMLZ33U · pith_short_16: R7J3YDMLZ33U7GEA · pith_short_8: R7J3YDML
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/R7J3YDMLZ33U7GEAXCG6QOC2ZU \
  | 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: 8fd3bc0d8bcef74f9880b88de8385acd39f4931214ba18d69aa6968104860977
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "9f944f061566355dc5a24518fd2d90cbbd50f88df1d8cc8a6775fbf7c0f6990d",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.GM",
    "submitted_at": "2024-11-23T17:06:02Z",
    "title_canon_sha256": "539ab38497fa8ae6f25947716ee2bb560b214781f3f5ae78c7ac6c2f3169b461"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.00046",
    "kind": "arxiv",
    "version": 3
  }
}