Pith Number

pith:MMWDIUEO

pith:2010:MMWDIUEOYY46N4CUUOF7IGNYW3

not attested not anchored not stored refs pending

Generating functions for the Bernstein polynomials: A unified approach to deriving identities for the Bernstein basis functions

Yilmaz Simsek

arxiv:1012.5538 v1 · 2010-12-21 · 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{MMWDIUEOYY46N4CUUOF7IGNYW3}

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	2026-05-18T00:00:37.464067Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

632c34508ec639e6f054a38bf419b8b6d19562428386fa22cc27974f10f8b146

Aliases

arxiv: 1012.5538 · arxiv_version: 1012.5538v1 · doi: 10.48550/arxiv.1012.5538 · pith_short_12: MMWDIUEOYY46 · pith_short_16: MMWDIUEOYY46N4CU · pith_short_8: MMWDIUEO

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/MMWDIUEOYY46N4CUUOF7IGNYW3 \
  | 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: 632c34508ec639e6f054a38bf419b8b6d19562428386fa22cc27974f10f8b146

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eefd35b5b67ea6f432cc4e7c2394759c7c430727ca6fdf5320c832e2d1e809dd",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/3.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2010-12-21T10:01:40Z",
    "title_canon_sha256": "d31675f4d552234758f095b29d759bd594c8bba2e86a53f8df926b30d5b755c7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.5538",
    "kind": "arxiv",
    "version": 1
  }
}