Pith Number

pith:ZIMADIFG

pith:2015:ZIMADIFG27HPQMU52TIXMWH23P

not attested not anchored not stored refs pending

Fully degenerate poly-Bernoulli numbers and polynomials

Dae San Kim, Taekyun Kim

arxiv:1505.07076 v1 · 2015-05-26 · 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{ZIMADIFG27HPQMU52TIXMWH23P}

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	2026-05-18T02:03:27.237809Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ca1801a0a6d7cef8329dd4d17658fadbdda828827089fa4ddef89dfcd8dede4f

Aliases

arxiv: 1505.07076 · arxiv_version: 1505.07076v1 · doi: 10.48550/arxiv.1505.07076 · pith_short_12: ZIMADIFG27HP · pith_short_16: ZIMADIFG27HPQMU5 · pith_short_8: ZIMADIFG

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/ZIMADIFG27HPQMU52TIXMWH23P \
  | 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: ca1801a0a6d7cef8329dd4d17658fadbdda828827089fa4ddef89dfcd8dede4f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eba947486e8e19b058a4d53f635b09deb881a899b80c19094b10961c51b285d1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-05-26T18:57:47Z",
    "title_canon_sha256": "67646ca0436a8d172c285a9d7b0b9a6430da807d232515e2aba7c9d289f208e2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.07076",
    "kind": "arxiv",
    "version": 1
  }
}