Pith Number

pith:YXHNJGRF

pith:2026:YXHNJGRFQZY3H6MTXP4MMFFPRU

not attested not anchored not stored refs pending

An Adaptive Fast Algorithm for Periodic Coulomb Lattice Sums in Arbitrary Unit Cells

Leslie Greengard, Shidong Jiang, Xuanzhao Gao

arxiv:2606.28608 v1 · 2026-06-26 · math.NA · cs.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YXHNJGRFQZY3H6MTXP4MMFFPRU}

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	2026-06-30T00:15:20.456300Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c5ced49a258671b3f993bbf8c614af8d011eff4a0c94b76cab02f12747c72bd6

Aliases

arxiv: 2606.28608 · arxiv_version: 2606.28608v1 · doi: 10.48550/arxiv.2606.28608 · pith_short_12: YXHNJGRFQZY3 · pith_short_16: YXHNJGRFQZY3H6MT · pith_short_8: YXHNJGRF

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/YXHNJGRFQZY3H6MTXP4MMFFPRU \
  | 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: c5ced49a258671b3f993bbf8c614af8d011eff4a0c94b76cab02f12747c72bd6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6dedc9418dfc24414040bfd8f7f638d83f6377f7727a4e5a3e29169a454b2734",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2026-06-26T20:59:07Z",
    "title_canon_sha256": "269c2f1e758c5ac10c68708071faf6864bbf760346dd36eb84f07f59e042b563"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.28608",
    "kind": "arxiv",
    "version": 1
  }
}