Pith Number

pith:JQSWTJP4

pith:2016:JQSWTJP4LNKUKP7FJ7ZK7KCK4Y

not attested not anchored not stored refs pending

A fresh approach to classical Eisenstein series and the newer Hilbert-Eisenstein series

Paul L. Butzer, Tibor K. Pog\'any

arxiv:1604.03245 v1 · 2016-04-12 · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JQSWTJP4LNKUKP7FJ7ZK7KCK4Y}

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	2026-05-18T01:17:15.945794Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4c2569a5fc5b55453fe54ff2afa84ae62d4854b98a7a70b4616ba557b85897fa

Aliases

arxiv: 1604.03245 · arxiv_version: 1604.03245v1 · doi: 10.48550/arxiv.1604.03245 · pith_short_12: JQSWTJP4LNKU · pith_short_16: JQSWTJP4LNKUKP7F · pith_short_8: JQSWTJP4

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/JQSWTJP4LNKUKP7FJ7ZK7KCK4Y \
  | 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: 4c2569a5fc5b55453fe54ff2afa84ae62d4854b98a7a70b4616ba557b85897fa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "62dc5a33dd9909be268cac76f4da7fdee164d4abe7ea5d371b9323d7e8ae52ca",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2016-04-12T04:46:40Z",
    "title_canon_sha256": "04e0af8c5b28ab9e8bcb9f64ea5d6c989133e97e74b77bee701ca96d3c906166"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.03245",
    "kind": "arxiv",
    "version": 1
  }
}