Pith Number

pith:YLGFZ66P

pith:2012:YLGFZ66PINEKWXA5MKC3QHXHYP

not attested not anchored not stored refs pending

On the composition and decomposition of positive linear operators III: A non-trivial decomposition of the Bernstein operator

Alexandru Lupa\c{s}, Heiner Gonska, Ioan Ra\c{s}a, Margareta Heilmann

arxiv:1204.2723 v2 · 2012-04-12 · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YLGFZ66PINEKWXA5MKC3QHXHYP}

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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	2026-05-18T03:46:47.253918Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c2cc5cfbcf4348ab5c1d6285b81ee7c3c20b4ae1b6d42e8ebac966dc4079ae6c

Aliases

arxiv: 1204.2723 · arxiv_version: 1204.2723v2 · doi: 10.48550/arxiv.1204.2723 · pith_short_12: YLGFZ66PINEK · pith_short_16: YLGFZ66PINEKWXA5 · pith_short_8: YLGFZ66P

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/YLGFZ66PINEKWXA5MKC3QHXHYP \
  | 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: c2cc5cfbcf4348ab5c1d6285b81ee7c3c20b4ae1b6d42e8ebac966dc4079ae6c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8dc15fa253f0f6c0b868928e234c1aa99d9c357b54c185b8d4063b586e3609bc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2012-04-12T13:49:58Z",
    "title_canon_sha256": "360ea80b3257167ea0e5ed668dd2a5cc027879b3e4656c9ecb50e90c65b05012"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.2723",
    "kind": "arxiv",
    "version": 2
  }
}