Pith Number

pith:NFBTI4EI

pith:2010:NFBTI4EILRDNONGUFN7UFFBCWR

not attested not anchored not stored refs pending

Some identities of Bernoulli numbers and polynomials associated with Bernstein polynomials

B. Lee, C. S. Ryoo, M.S. Kim, T. Kim

arxiv:1009.0098 v1 · 2010-09-01 · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NFBTI4EILRDNONGUFN7UFFBCWR}

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	2026-05-18T04:41:35.549702Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

69433470885c46d734d42b7f429422b46a5381c7623851ab5a9a5d5c461bf7ed

Aliases

arxiv: 1009.0098 · arxiv_version: 1009.0098v1 · doi: 10.48550/arxiv.1009.0098 · pith_short_12: NFBTI4EILRDN · pith_short_16: NFBTI4EILRDNONGU · pith_short_8: NFBTI4EI

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/NFBTI4EILRDNONGUFN7UFFBCWR \
  | 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: 69433470885c46d734d42b7f429422b46a5381c7623851ab5a9a5d5c461bf7ed

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5afb9b31e8ac5e9783217ab66b224b3f4214a2cd0a30bf49b82796e90b6abae8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2010-09-01T06:19:04Z",
    "title_canon_sha256": "edb56afad8f1384d1a7a921ea212ab390375f6113128411984732c55041acea1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.0098",
    "kind": "arxiv",
    "version": 1
  }
}