Pith Number

pith:BF67TPUL

pith:2017:BF67TPULL4MPOOA6NYZRDO6NN2

not attested not anchored not stored refs pending

Factorization Theorems for Generalized Lambert Series and Applications

Maxie D. Schmidt, Mircea Merca

arxiv:1712.00611 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{BF67TPULL4MPOOA6NYZRDO6NN2}

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	2026-05-18T00:29:04.632842Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

097df9be8b5f18f7381e6e3311bbcd6ebf4a58cebf206bb4fa64b2b778db14fd

Aliases

arxiv: 1712.00611 · arxiv_version: 1712.00611v1 · doi: 10.48550/arxiv.1712.00611 · pith_short_12: BF67TPULL4MP · pith_short_16: BF67TPULL4MPOOA6 · pith_short_8: BF67TPUL

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/BF67TPULL4MPOOA6NYZRDO6NN2 \
  | 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: 097df9be8b5f18f7381e6e3311bbcd6ebf4a58cebf206bb4fa64b2b778db14fd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6ece92fbffd8ffeba3e3c4c64813a83473436cd3ad1233afd9db7c63df05312f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2017-12-02T14:25:17Z",
    "title_canon_sha256": "7ccdc791b0669f2fd7f7e98b680b864977ebf4b8b13f28f3ad6792f4fbf5564c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.00611",
    "kind": "arxiv",
    "version": 1
  }
}