Pith Number

pith:OPIGTSEL

pith:2021:OPIGTSELVNRDNFG2YDAT2TT7S7

not attested not anchored not stored refs pending

Faulhaber polynomials and reciprocal Bernoulli polynomials

Bernd C. Kellner

arxiv:2105.15025 v3 · 2021-05-31 · 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{OPIGTSELVNRDNFG2YDAT2TT7S7}

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	2026-07-05T07:00:54.249257Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

73d069c88bab623694dac0c13d4e7f97e657249bd824752c2fe09226bf163893

Aliases

arxiv: 2105.15025 · arxiv_version: 2105.15025v3 · doi: 10.48550/arxiv.2105.15025 · pith_short_12: OPIGTSELVNRD · pith_short_16: OPIGTSELVNRDNFG2 · pith_short_8: OPIGTSEL

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/OPIGTSELVNRDNFG2YDAT2TT7S7 \
  | 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: 73d069c88bab623694dac0c13d4e7f97e657249bd824752c2fe09226bf163893

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cf112e433e825d04bda6398711cfee33c487c91bab8b3768b75a051aa85069a1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2021-05-31T15:06:35Z",
    "title_canon_sha256": "bf09266ce70abf75605d1521b0035b9ff3719e3a1140dce6afa3dd3cd8c173f1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2105.15025",
    "kind": "arxiv",
    "version": 3
  }
}