Pith Number

pith:KQX5LHJE

pith:2014:KQX5LHJE6UNO6LD62QW47MWJYR

not attested not anchored not stored refs pending

Recurrence formulas with gaps for Bernoulli and Euler polynomials

Zhi-Hong Sun

arxiv:1403.0435 v1 · 2014-03-03 · 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{KQX5LHJE6UNO6LD62QW47MWJYR}

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	2026-05-18T02:57:24.889251Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

542fd59d24f51aef2c7ed42dcfb2c9c44ab0bb782ad4fd59de5554e5291df464

Aliases

arxiv: 1403.0435 · arxiv_version: 1403.0435v1 · doi: 10.48550/arxiv.1403.0435 · pith_short_12: KQX5LHJE6UNO · pith_short_16: KQX5LHJE6UNO6LD6 · pith_short_8: KQX5LHJE

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/KQX5LHJE6UNO6LD62QW47MWJYR \
  | 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: 542fd59d24f51aef2c7ed42dcfb2c9c44ab0bb782ad4fd59de5554e5291df464

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "74c8544cf8c8c2c2bfa98ecc101250f579138e3d08b3018055d299e9429f99af",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2014-03-03T14:02:35Z",
    "title_canon_sha256": "a8cabca495d42e7193c1e811ef0a41fda0b55d7eba732a469bdfdedef909dadc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1403.0435",
    "kind": "arxiv",
    "version": 1
  }
}