Pith Number

pith:B65G4KQW

pith:2011:B65G4KQWEV7RIHEVDKBDPQLYVL

not attested not anchored not stored refs pending

Some identities on Bernstein polynomials associated with q-Euler polynomials

Abdelmejid Bayad, Byunje Lee, Seog-Hoon Rim, Taekyun Kim

arxiv:1101.2609 v1 · 2011-01-13 · 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{B65G4KQWEV7RIHEVDKBDPQLYVL}

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	2026-05-18T04:31:41.796121Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0fba6e2a16257f141c951a8237c178aadf111b02acfae1dda986ced7cd483077

Aliases

arxiv: 1101.2609 · arxiv_version: 1101.2609v1 · doi: 10.48550/arxiv.1101.2609 · pith_short_12: B65G4KQWEV7R · pith_short_16: B65G4KQWEV7RIHEV · pith_short_8: B65G4KQW

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/B65G4KQWEV7RIHEVDKBDPQLYVL \
  | 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: 0fba6e2a16257f141c951a8237c178aadf111b02acfae1dda986ced7cd483077

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fdc4aae2abefe7b2271509ccb708e9f53be4d08f2d2638dfa78e9cb42cecd299",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2011-01-13T17:04:21Z",
    "title_canon_sha256": "87f4982e0dcaa2a46e8206d67ad7079c696dbcfd40ac54d20483113c4b08860c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.2609",
    "kind": "arxiv",
    "version": 1
  }
}