Pith Number

pith:DXEV5UWY

pith:2017:DXEV5UWYC4DA2OLMDEBY542UK5

not attested not anchored not stored refs pending

Identities involving Bernoulli and Euler polynomials

Horst Alzer, Semyon Yakubovich

arxiv:1710.07127 v1 · 2017-10-19 · math.CA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DXEV5UWYC4DA2OLMDEBY542UK5}

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	2026-05-18T00:32:26.927449Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1dc95ed2d817060d396c19038ef354575857b193c0ad13ca552f310bfb770b29

Aliases

arxiv: 1710.07127 · arxiv_version: 1710.07127v1 · doi: 10.48550/arxiv.1710.07127 · pith_short_12: DXEV5UWYC4DA · pith_short_16: DXEV5UWYC4DA2OLM · pith_short_8: DXEV5UWY

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/DXEV5UWYC4DA2OLMDEBY542UK5 \
  | 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: 1dc95ed2d817060d396c19038ef354575857b193c0ad13ca552f310bfb770b29

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "78cc170a7fde2a6066e5846317f1739176ce6ba1a44af11d0217b86f764efd05",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2017-10-19T13:18:52Z",
    "title_canon_sha256": "735d3bb4f9aa7feaec2bbd6a96bf9193b8d7992990f8644bc273ed9d809c2f58"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.07127",
    "kind": "arxiv",
    "version": 1
  }
}