Pith Number

pith:2ERN7XXQ

pith:2021:2ERN7XXQUXTPEIAGBILXRF3EMN

not attested not anchored not stored refs pending

Generalized degenerate Bernoulli numbers and polynomials arising from Gauss hypergeometric function

Dae San Kim, Hanyoung Kim, Hyunseok Lee, Lee-Chae Jang, Taekyun Kim

arxiv:2101.01893 v1 · 2021-01-06 · 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{2ERN7XXQUXTPEIAGBILXRF3EMN}

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	2026-07-05T02:05:01.316942Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d122dfdef0a5e6f220060a17789764636701b0a14bed3b121799b99150572caa

Aliases

arxiv: 2101.01893 · arxiv_version: 2101.01893v1 · doi: 10.48550/arxiv.2101.01893 · pith_short_12: 2ERN7XXQUXTP · pith_short_16: 2ERN7XXQUXTPEIAG · pith_short_8: 2ERN7XXQ

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/2ERN7XXQUXTPEIAGBILXRF3EMN \
  | 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: d122dfdef0a5e6f220060a17789764636701b0a14bed3b121799b99150572caa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8cae8931b45c79f084a125bdd28a2587750345beae2864c6574512b574a32239",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2021-01-06T06:55:27Z",
    "title_canon_sha256": "cf2ae3be4dcb4bbb0aa5cf22bab1bc5599c499055f307131561251b97d94b97b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2101.01893",
    "kind": "arxiv",
    "version": 1
  }
}