Pith Number

pith:BW2UKUIW

pith:2005:BW2UKUIWZHML5J2UC2OBCQE4KV

not attested not anchored not stored refs pending

Note on the sums of powers of consecutive $q$-integers

D. Kim, S. H. Rim, T. Kim, Y. Simsek

arxiv:math/0503209 v1 · 2005-03-11 · 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{BW2UKUIWZHML5J2UC2OBCQE4KV}

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	2026-05-18T01:05:23.619832Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0db5455116c9d8bea754169c11409c55441aea966c0d20c2376a8e768fceda97

Aliases

arxiv: math/0503209 · arxiv_version: math/0503209v1 · doi: 10.48550/arxiv.math/0503209 · pith_short_12: BW2UKUIWZHML · pith_short_16: BW2UKUIWZHML5J2U · pith_short_8: BW2UKUIW

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/BW2UKUIWZHML5J2UC2OBCQE4KV \
  | 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: 0db5455116c9d8bea754169c11409c55441aea966c0d20c2376a8e768fceda97

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "833014858aa94ef0b383f6514113fe9083638076c9d11aa6ec8e362d01ee4577",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.NT",
    "submitted_at": "2005-03-11T05:19:10Z",
    "title_canon_sha256": "ca0b0d05615d4e866c9cda138f043eb516622fdce24c32820ec4586f849df896"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0503209",
    "kind": "arxiv",
    "version": 1
  }
}