Pith Number

pith:QO4VNCRT

pith:2026:QO4VNCRTOBFJESXUMRDVJ3KZGV

not attested not anchored not stored refs pending

Analytic Boundary Terms for Arbitrary Crystal Geometries and Direct-Sum Evaluation of Madelung Constants in Triclinic Lattices

Yang He, Zhonghan Hu

arxiv:2608.10041 v1 · 2026-08-10 · cond-mat.other · physics.comp-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{QO4VNCRTOBFJESXUMRDVJ3KZGV}

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	2026-08-12T00:22:38.961419Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

83b9568a33704a924af4644754ed59355a2872eee3372d0bbc1380cc764b48bc

Aliases

arxiv: 2608.10041 · arxiv_version: 2608.10041v1 · doi: 10.48550/arxiv.2608.10041 · pith_short_12: QO4VNCRTOBFJ · pith_short_16: QO4VNCRTOBFJESXU · pith_short_8: QO4VNCRT

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/QO4VNCRTOBFJESXUMRDVJ3KZGV \
  | 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: 83b9568a33704a924af4644754ed59355a2872eee3372d0bbc1380cc764b48bc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ec503dfb699efb4ec3d5960b496734c7f01433b242b10d24db8db1e3da83bafd",
    "cross_cats_sorted": [
      "physics.comp-ph"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cond-mat.other",
    "submitted_at": "2026-08-10T09:31:47Z",
    "title_canon_sha256": "74d82697914b38202ab5d6de757489a26b3daf80e9093746afc5a015eca282d0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.10041",
    "kind": "arxiv",
    "version": 1
  }
}