Pith Number

pith:HNMHLDOW

pith:2025:HNMHLDOWUYQEGJ3BAYAZXDMT7K

not attested not anchored not stored refs pending

Several expressions for degenerate harmonic numbers and some related numbers

Dae San Kim, Kyo-Shin Hwang, Taekyun Kim

arxiv:2508.01189 v1 · 2025-08-02 · 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{HNMHLDOWUYQEGJ3BAYAZXDMT7K}

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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	2026-07-05T11:47:34.484923Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3b58758dd6a62043276106019b8d93fabf11c807ef6afcbaa05a33150f6b67f3

Aliases

arxiv: 2508.01189 · arxiv_version: 2508.01189v1 · doi: 10.48550/arxiv.2508.01189 · pith_short_12: HNMHLDOWUYQE · pith_short_16: HNMHLDOWUYQEGJ3B · pith_short_8: HNMHLDOW

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/HNMHLDOWUYQEGJ3BAYAZXDMT7K \
  | 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: 3b58758dd6a62043276106019b8d93fabf11c807ef6afcbaa05a33150f6b67f3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3f7889cd63fd57793f753a5c736cd3df9ce1605753c67a2591c0ac880efb5bdd",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2025-08-02T04:29:17Z",
    "title_canon_sha256": "67d11a4db51538de2386ce82a5af3c267660c0278aa13ffc9fc0d50f8e00f8ba"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2508.01189",
    "kind": "arxiv",
    "version": 1
  }
}