Pith Number

pith:2YMN3X7C

pith:2016:2YMN3X7CRAPVRGE4QMRXFLBQ5W

not attested not anchored not stored refs pending

A problem of I. Ra\c{s}a on Bernstein polynomials and convex functions

Ulrich Abel

arxiv:1609.00234 v1 · 2016-08-27 · 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{2YMN3X7CRAPVRGE4QMRXFLBQ5W}

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	2026-05-18T01:06:25.324468Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d618dddfe2881f58989c832372ac30eda1f8d744b7baa5b4642983e13f46f9c5

Aliases

arxiv: 1609.00234 · arxiv_version: 1609.00234v1 · doi: 10.48550/arxiv.1609.00234 · pith_short_12: 2YMN3X7CRAPV · pith_short_16: 2YMN3X7CRAPVRGE4 · pith_short_8: 2YMN3X7C

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/2YMN3X7CRAPVRGE4QMRXFLBQ5W \
  | 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: d618dddfe2881f58989c832372ac30eda1f8d744b7baa5b4642983e13f46f9c5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3ed8a0a2c74becee5ed1c114d7bc9b1311caad7424ee1eabe21c22f017c94904",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2016-08-27T12:16:32Z",
    "title_canon_sha256": "e8b86b373c219aba9309e99e7925728a51a02a97ce8d2568b90337a29d4677ec"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.00234",
    "kind": "arxiv",
    "version": 1
  }
}