Pith Number

pith:46VL6HM6

pith:2016:46VL6HM66J5QHTNQ6TD5VPMGWO

not attested not anchored not stored refs pending

Combinatorial Identities for Generalized Stirling Numbers Expanding $f$-Factorial Functions and the $f$-Harmonic Numbers

Maxie D. Schmidt

arxiv:1611.04708 v2 · 2016-11-15 · math.CO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{46VL6HM66J5QHTNQ6TD5VPMGWO}

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	2026-05-18T00:47:37.991658Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e7aabf1d9ef27b03cdb0f4c7dabd86b388282618a3a0769f76c7617b0c66c450

Aliases

arxiv: 1611.04708 · arxiv_version: 1611.04708v2 · doi: 10.48550/arxiv.1611.04708 · pith_short_12: 46VL6HM66J5Q · pith_short_16: 46VL6HM66J5QHTNQ · pith_short_8: 46VL6HM6

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/46VL6HM66J5QHTNQ6TD5VPMGWO \
  | 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: e7aabf1d9ef27b03cdb0f4c7dabd86b388282618a3a0769f76c7617b0c66c450

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d7f0bdb169fdcee496bee09291aa26e8c5b01e0aea8564b6fd4f34da14e28a34",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-11-15T05:55:54Z",
    "title_canon_sha256": "15c9793bd5a46eed2356c4959ab894b59651e70cd90e53575728394833b9b3c8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.04708",
    "kind": "arxiv",
    "version": 2
  }
}