Pith Number

pith:S5LWQCU4

pith:2011:S5LWQCU4KAHBPKBWIERGH7NA26

not attested not anchored not stored refs pending

Some new identities on the twisted (h, q)- Euler numbers and q-Bernstein polynomials

B. Lee, D. J. Kang, D. V. Dolgy, T. Kim

arxiv:1105.0093 v1 · 2011-04-30 · 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{S5LWQCU4KAHBPKBWIERGH7NA26}

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	2026-05-18T04:23:12.518903Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9757680a9c500e17a836412263fda0d7b54ece49beeef5b3c76eab205c560cf8

Aliases

arxiv: 1105.0093 · arxiv_version: 1105.0093v1 · doi: 10.48550/arxiv.1105.0093 · pith_short_12: S5LWQCU4KAHB · pith_short_16: S5LWQCU4KAHBPKBW · pith_short_8: S5LWQCU4

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/S5LWQCU4KAHBPKBWIERGH7NA26 \
  | 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: 9757680a9c500e17a836412263fda0d7b54ece49beeef5b3c76eab205c560cf8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "263d04b82f5c9e1f641d4aea0e84b8094e1168e691532e39e92b650af79ef178",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2011-04-30T16:11:46Z",
    "title_canon_sha256": "bc999016ab98b6794f06b4e0dd8ae1e97d5c71ec3a41c4340ff108cc98c90204"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.0093",
    "kind": "arxiv",
    "version": 1
  }
}