Pith Number

pith:KCPTJ43K

pith:2016:KCPTJ43KYD7WOGFSAJZFNHOPLM

not attested not anchored not stored refs pending

A generalization of Kantorovich operators for convex compact subsets

Francesco Altomare, Ioan Rasa, Mirella Cappelletti Montano, Vita Leonessa

arxiv:1605.06768 v1 · 2016-05-22 · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KCPTJ43KYD7WOGFSAJZFNHOPLM}

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	2026-05-18T00:32:44.551574Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

509f34f36ac0ff6718b20272569dcf5b3348cb85ad4e8169d3e50cdd3801a7de

Aliases

arxiv: 1605.06768 · arxiv_version: 1605.06768v1 · doi: 10.48550/arxiv.1605.06768 · pith_short_12: KCPTJ43KYD7W · pith_short_16: KCPTJ43KYD7WOGFS · pith_short_8: KCPTJ43K

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/KCPTJ43KYD7WOGFSAJZFNHOPLM \
  | 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: 509f34f36ac0ff6718b20272569dcf5b3348cb85ad4e8169d3e50cdd3801a7de

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2400340a246c72f24c6de90d325a11e6f281e90fa83ba3cb43646351469ec108",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2016-05-22T10:25:55Z",
    "title_canon_sha256": "96b3653b3ebdfaf8a22621c9ac2c55f2ac4f9b7a5b1426dc742bc95108c5b411"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.06768",
    "kind": "arxiv",
    "version": 1
  }
}