Pith Number

pith:DB2AP577

pith:2022:DB2AP5773QNA7MWJBUJ367MAXW

not attested not anchored not stored refs pending

Some congruences involving generalized Bernoulli numbers and Bernoulli polynomials

Ni Li, Rong Ma

arxiv:2211.15874 v1 · 2022-11-29 · 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{DB2AP5773QNA7MWJBUJ367MAXW}

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	2026-07-05T05:20:19.328540Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

187407f7ffdc1a0fb2c90d13bf7d80bd891649b23c48fce696ec1573eb1a7065

Aliases

arxiv: 2211.15874 · arxiv_version: 2211.15874v1 · doi: 10.48550/arxiv.2211.15874 · pith_short_12: DB2AP5773QNA · pith_short_16: DB2AP5773QNA7MWJ · pith_short_8: DB2AP577

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/DB2AP5773QNA7MWJBUJ367MAXW \
  | 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: 187407f7ffdc1a0fb2c90d13bf7d80bd891649b23c48fce696ec1573eb1a7065

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c160c3a54124b7b021f347d7026dad41dea6b5f277b777ebac0c8a4e689c62be",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2022-11-29T02:18:05Z",
    "title_canon_sha256": "9605715cc37ae778502f11181230c5072ea7642d38b969fe4805c5255adf7ebc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2211.15874",
    "kind": "arxiv",
    "version": 1
  }
}