Pith Number

pith:V4OL75DM

pith:2020:V4OL75DM5OWOFQBADPYP3R4LGN

not attested not anchored not stored refs pending

Representations of degenerate poly-Bernoulli polynomials

Dae San Kim, Hyunseok Lee, Jongkyum Kwon, Taekyun Kim

arxiv:2012.06515 v1 · 2020-12-11 · 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{V4OL75DM5OWOFQBADPYP3R4LGN}

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	2026-07-05T01:58:52.320297Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

af1cbff46cebace2c0201bf0fdc78b335b81a49382cc160f3369fb85cbd0745b

Aliases

arxiv: 2012.06515 · arxiv_version: 2012.06515v1 · doi: 10.48550/arxiv.2012.06515 · pith_short_12: V4OL75DM5OWO · pith_short_16: V4OL75DM5OWOFQBA · pith_short_8: V4OL75DM

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/V4OL75DM5OWOFQBADPYP3R4LGN \
  | 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: af1cbff46cebace2c0201bf0fdc78b335b81a49382cc160f3369fb85cbd0745b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "781a4c8ecb15fb8f80130526d99bdd7e9045d3c3b5ad578e8e6f9dfbb79efd60",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2020-12-11T17:34:33Z",
    "title_canon_sha256": "66ca0e1ba6d72b85230d5be7940982b26faf7dc43bf9633f558bba92bf10047c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2012.06515",
    "kind": "arxiv",
    "version": 1
  }
}