Pith Number

pith:2WYKXC2P

pith:2019:2WYKXC2P7GTAGRGKF45GAH7GTE

not attested not anchored not stored refs pending

On type 2 degenerate Bernoulli and Euler polynomials of complex variable

Dae San Kim, Han-Young Kim, Lee-Chae Jang, Taekyun Kim

arxiv:1908.11009 v1 · 2019-08-29 · 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{2WYKXC2P7GTAGRGKF45GAH7GTE}

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	2026-07-05T00:00:29.314941Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d5b0ab8b4ff9a60344ca2f3a601fe6993fb9a00dccea1c8e7c4535f17395606f

Aliases

arxiv: 1908.11009 · arxiv_version: 1908.11009v1 · doi: 10.48550/arxiv.1908.11009 · pith_short_12: 2WYKXC2P7GTA · pith_short_16: 2WYKXC2P7GTAGRGK · pith_short_8: 2WYKXC2P

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/2WYKXC2P7GTAGRGKF45GAH7GTE \
  | 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: d5b0ab8b4ff9a60344ca2f3a601fe6993fb9a00dccea1c8e7c4535f17395606f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d0f975cc6e4fedfba2d29565de6f0364b58ac0e86fd7f1baf37fee2bdbd740f3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2019-08-29T01:31:09Z",
    "title_canon_sha256": "0266044589eac59302b09d4131a6c13a8303b55b602104fce7d23dbd01f1b4d7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.11009",
    "kind": "arxiv",
    "version": 1
  }
}