Pith Number

pith:ACJOOPD4

pith:2025:ACJOOPD4M2AGG7IVVH445DNB6B

not attested not anchored not stored refs pending

Recurrence relations for harmonic and derangement numbers

Dae San Kim, Jongkyum Kwon, Kyo-Shin Hwang, Taekyun Kim

arxiv:2509.10404 v1 · 2025-09-12 · 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{ACJOOPD4M2AGG7IVVH445DNB6B}

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	2026-07-05T12:11:09.222046Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0092e73c7c6680637d15a9f9ce8da1f07253ee4aa80451bf62fd3580e41e859f

Aliases

arxiv: 2509.10404 · arxiv_version: 2509.10404v1 · doi: 10.48550/arxiv.2509.10404 · pith_short_12: ACJOOPD4M2AG · pith_short_16: ACJOOPD4M2AGG7IV · pith_short_8: ACJOOPD4

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/ACJOOPD4M2AGG7IVVH445DNB6B \
  | 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: 0092e73c7c6680637d15a9f9ce8da1f07253ee4aa80451bf62fd3580e41e859f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "50e39a8bc342dedc22e4689f8eb83c1dc17ea4604537b58065bba158d90d9105",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2025-09-12T16:54:49Z",
    "title_canon_sha256": "5695ab0b022c4b9fac3a46ee1777ae2398ecf66ec65035dd058a080fccfbe1c8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2509.10404",
    "kind": "arxiv",
    "version": 1
  }
}