Pith Number

pith:BKR3CDV3

pith:2026:BKR3CDV3ZI4PMTGYR7YUVBZTJL

not attested not anchored not stored refs pending

Enhanced approach to calculation of cluster integrals for lattice models of matter

M. V. Ushcats, S. Yu. Ushcats

arxiv:2606.22123 v1 · 2026-06-20 · cond-mat.other

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BKR3CDV3ZI4PMTGYR7YUVBZTJL}

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	2026-06-23T02:13:28.892919Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0aa3b10ebbca38f64cd88ff14a87334af09bc6a3330540f820586a2363210af9

Aliases

arxiv: 2606.22123 · arxiv_version: 2606.22123v1 · doi: 10.48550/arxiv.2606.22123 · pith_short_12: BKR3CDV3ZI4P · pith_short_16: BKR3CDV3ZI4PMTGY · pith_short_8: BKR3CDV3

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/BKR3CDV3ZI4PMTGYR7YUVBZTJL \
  | 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: 0aa3b10ebbca38f64cd88ff14a87334af09bc6a3330540f820586a2363210af9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d5c22c5e9a88b05a925c7cf633eab276dfd617ebcc0f94857e4d4435e3098c5d",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cond-mat.other",
    "submitted_at": "2026-06-20T16:05:01Z",
    "title_canon_sha256": "335a26cb3f619e96b6808c79fcf0301f83ba2604453e7e16aa34721c338bdffd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.22123",
    "kind": "arxiv",
    "version": 1
  }
}