Pith Number

pith:UP7BCJZC

pith:2017:UP7BCJZCWCJQABSNMLLMCPDYNF

not attested not anchored not stored refs pending

Factorization Theorems for Hadamard Products and Higher-Order Derivatives of Lambert Series Generating Functions

Maxie D. Schmidt

arxiv:1712.00608 v1 · 2017-12-02 · 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{UP7BCJZCWCJQABSNMLLMCPDYNF}

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	2026-05-18T00:29:04.662196Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a3fe112722b09300064d62d6c13c78696e2e9a5f8a39cf228ca99978138e6164

Aliases

arxiv: 1712.00608 · arxiv_version: 1712.00608v1 · doi: 10.48550/arxiv.1712.00608 · pith_short_12: UP7BCJZCWCJQ · pith_short_16: UP7BCJZCWCJQABSN · pith_short_8: UP7BCJZC

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/UP7BCJZCWCJQABSNMLLMCPDYNF \
  | 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: a3fe112722b09300064d62d6c13c78696e2e9a5f8a39cf228ca99978138e6164

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0eefba00c8f69c132a5f6b54ddd3580efc78142fe065daccff951486908e68ac",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2017-12-02T14:12:01Z",
    "title_canon_sha256": "ca4a87f0ba2b372413b287cef62408e833e393ccf012f11a89642beb96e970e2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.00608",
    "kind": "arxiv",
    "version": 1
  }
}