Pith Number

pith:63LXVFNJ

pith:2013:63LXVFNJC65TV7D6AT2FM5JAUB

not attested not anchored not stored refs pending

Semigroups of Operators on Spaces of Fuzzy-Number-Valued Functions with Applications to Fuzzy Differential Equations

Ciprian G. Gal, Sorin G. Gal

arxiv:1306.3928 v1 · 2013-06-17 · math.AP · math.CA · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{63LXVFNJC65TV7D6AT2FM5JAUB}

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	2026-05-18T03:20:46.015937Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f6d77a95a917bb3afc7e04f4567520a06c1c779ab1f0ded87f3b2eec20ba791b

Aliases

arxiv: 1306.3928 · arxiv_version: 1306.3928v1 · doi: 10.48550/arxiv.1306.3928 · pith_short_12: 63LXVFNJC65T · pith_short_16: 63LXVFNJC65TV7D6 · pith_short_8: 63LXVFNJ

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/63LXVFNJC65TV7D6AT2FM5JAUB \
  | 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: f6d77a95a917bb3afc7e04f4567520a06c1c779ab1f0ded87f3b2eec20ba791b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5e8ce3497d6cc253bd348658c8b7afa1fc172fbf035578260eda5237e67a282e",
    "cross_cats_sorted": [
      "math.CA",
      "math.DS"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-sa/3.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-06-17T16:59:46Z",
    "title_canon_sha256": "eb49366828184d0c328e16b9e1662439da79bce9ac8ceacc96769705a1f349f2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.3928",
    "kind": "arxiv",
    "version": 1
  }
}