Pith Number

pith:QZYSW6ZB

pith:2014:QZYSW6ZBLXV3RT2CEH3PZ3TY5P

not attested not anchored not stored refs pending

On reciprocity formula of character Dedekind sums and the integral of products of Bernoulli polynomials

M. Cihat Da\u{g}l{\i}, M\"um\"un Can

arxiv:1412.7363 v2 · 2014-12-23 · 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{QZYSW6ZBLXV3RT2CEH3PZ3TY5P}

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	2026-05-18T01:53:08.968569Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

86712b7b215debb8cf4221f6fcee78ebecfaa52a2992a0ed9e0c84d0266d9273

Aliases

arxiv: 1412.7363 · arxiv_version: 1412.7363v2 · doi: 10.48550/arxiv.1412.7363 · pith_short_12: QZYSW6ZBLXV3 · pith_short_16: QZYSW6ZBLXV3RT2C · pith_short_8: QZYSW6ZB

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/QZYSW6ZBLXV3RT2CEH3PZ3TY5P \
  | 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: 86712b7b215debb8cf4221f6fcee78ebecfaa52a2992a0ed9e0c84d0266d9273

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b5dc016e32e633d352e51e7ca3a8b430e415effcca088156879e800d56de4b3f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2014-12-23T13:52:09Z",
    "title_canon_sha256": "93ad620b261037e22ec2447e60402050f21aeac6ff12fd235bc69071a10c3725"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.7363",
    "kind": "arxiv",
    "version": 2
  }
}