Pith Number

pith:4JC4HZ36

pith:2026:4JC4HZ36IPU2QCPYMOX3RHKJVL

not attested not anchored not stored refs pending

The Finite Coulomb Lattice Sum: A Resolution of Conditional Convergence through Exact Shape and Size

Yang He, Zhonghan Hu

arxiv:2606.24653 v1 · 2026-06-23 · physics.chem-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4JC4HZ36IPU2QCPYMOX3RHKJVL}

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	2026-06-24T01:15:38.371198Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e245c3e77e43e9a809f863afb89d49aae08d25dccba24412be6694afa3837389

Aliases

arxiv: 2606.24653 · arxiv_version: 2606.24653v1 · doi: 10.48550/arxiv.2606.24653 · pith_short_12: 4JC4HZ36IPU2 · pith_short_16: 4JC4HZ36IPU2QCPY · pith_short_8: 4JC4HZ36

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/4JC4HZ36IPU2QCPYMOX3RHKJVL \
  | 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: e245c3e77e43e9a809f863afb89d49aae08d25dccba24412be6694afa3837389

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "86c1e7e8ce271de6b04d38a4f58b0332930f1a351acf8551c30f46a5ec315dce",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "physics.chem-ph",
    "submitted_at": "2026-06-23T14:47:39Z",
    "title_canon_sha256": "d24563af0b98df029db9f77a9885a7922c6f632eb21c44780bd439297b1b6613"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.24653",
    "kind": "arxiv",
    "version": 1
  }
}