Pith Number

pith:X6BSF4UT

pith:2010:X6BSF4UT24YBPIDYNMKDWDUMTB

not attested not anchored not stored refs pending

A note on q-Bernoulli numbers and q-Bernstein polynomials

C.S. Ryoo, H. Yi, T. Kim

arxiv:1010.0507 v1 · 2010-10-04 · 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{X6BSF4UT24YBPIDYNMKDWDUMTB}

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	2026-05-18T04:39:51.919174Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bf8322f293d73017a0786b143b0e8c986ed59655338435ef63ca88cb14429136

Aliases

arxiv: 1010.0507 · arxiv_version: 1010.0507v1 · doi: 10.48550/arxiv.1010.0507 · pith_short_12: X6BSF4UT24YB · pith_short_16: X6BSF4UT24YBPIDY · pith_short_8: X6BSF4UT

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/X6BSF4UT24YBPIDYNMKDWDUMTB \
  | 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: bf8322f293d73017a0786b143b0e8c986ed59655338435ef63ca88cb14429136

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "be633f2552e08803d44419510c3b717d0ad3270f356430d0a4f22e6779b39dd0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2010-10-04T08:50:31Z",
    "title_canon_sha256": "6c66b8350d53df2633e49c3942880a61d6182effbcd08af6ea16c8581f8af7a6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.0507",
    "kind": "arxiv",
    "version": 1
  }
}