Pith Number

pith:ZSZARG73

pith:2015:ZSZARG73PIOBPHH7GNTOHGT4N5

not attested not anchored not stored refs pending

Quantitative estimates in approximation by Bernstein-Durrmeyer-Choquet operators with respect to monotone and submodular set functions

Sorin Gal

arxiv:1512.03726 v1 · 2015-11-23 · 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{ZSZARG73PIOBPHH7GNTOHGT4N5}

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	2026-05-18T01:24:31.525533Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ccb2089bfb7a1c179cff3366e39a7c6f793a33f7469072a67b1de03e058be7b1

Aliases

arxiv: 1512.03726 · arxiv_version: 1512.03726v1 · doi: 10.48550/arxiv.1512.03726 · pith_short_12: ZSZARG73PIOB · pith_short_16: ZSZARG73PIOBPHH7 · pith_short_8: ZSZARG73

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/ZSZARG73PIOBPHH7GNTOHGT4N5 \
  | 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: ccb2089bfb7a1c179cff3366e39a7c6f793a33f7469072a67b1de03e058be7b1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8ee234736c0451254a45825b8c5d0e08d48d4c98917e6ced541e6766297a781f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2015-11-23T09:24:09Z",
    "title_canon_sha256": "c6e75ead4a00b455e873b05a49e42dddd76fd4124fcfb0ad921f0ef3d2aeb04e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.03726",
    "kind": "arxiv",
    "version": 1
  }
}