Pith Number

pith:XZEOUPEV

pith:2016:XZEOUPEVSIG767CTEYOPMWRZYP

not attested not anchored not stored refs pending

On the integral of products of higher-order Bernoulli and Euler polynomials

M. Cihat Dagli, M\"um\"un Can

arxiv:1609.09336 v1 · 2016-09-29 · 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{XZEOUPEVSIG767CTEYOPMWRZYP}

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	2026-05-18T00:34:42.327572Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

be48ea3c95920dff7c53261cf65a39c3e330edbeda26c7f469c4288d273753d8

Aliases

arxiv: 1609.09336 · arxiv_version: 1609.09336v1 · doi: 10.48550/arxiv.1609.09336 · pith_short_12: XZEOUPEVSIG7 · pith_short_16: XZEOUPEVSIG767CT · pith_short_8: XZEOUPEV

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/XZEOUPEVSIG767CTEYOPMWRZYP \
  | 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: be48ea3c95920dff7c53261cf65a39c3e330edbeda26c7f469c4288d273753d8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cbc1b3f52128909f8ea9273ccf49ec7b52a1ebeeedcd9e3c976fa3f5c05ac028",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-09-29T13:43:26Z",
    "title_canon_sha256": "aee116eb30240e3be74adba3f5fc3bde27da45b711df09507a2354300d7327cc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.09336",
    "kind": "arxiv",
    "version": 1
  }
}