Pith Number

pith:MKLYX2FD

pith:2017:MKLYX2FDFGLLGYLW5PODIQAVSF

not attested not anchored not stored refs pending

Extended degenerate Stirling numbers of the second kind and extended degenerate Bell polynomials

Dae San Kim, Taekyun Kim

arxiv:1706.09681 v1 · 2017-06-29 · 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{MKLYX2FDFGLLGYLW5PODIQAVSF}

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	2026-05-18T00:41:14.169169Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

62978be8a32996b36176ebdc3440159165004da92f37e958dac90e141afc75d7

Aliases

arxiv: 1706.09681 · arxiv_version: 1706.09681v1 · doi: 10.48550/arxiv.1706.09681 · pith_short_12: MKLYX2FDFGLL · pith_short_16: MKLYX2FDFGLLGYLW · pith_short_8: MKLYX2FD

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/MKLYX2FDFGLLGYLW5PODIQAVSF \
  | 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: 62978be8a32996b36176ebdc3440159165004da92f37e958dac90e141afc75d7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fed47fe0d6e1694bdbb8e6d665de977fb550bcd6c50e5cd356498b8e1bd75f11",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2017-06-29T11:25:53Z",
    "title_canon_sha256": "f618629aa9a17c6d70611d653ab6c264817ad4a1a7e5ca5c3bb68f44cba7f8a0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.09681",
    "kind": "arxiv",
    "version": 1
  }
}