Pith Number

pith:ZARKDX4I

pith:2026:ZARKDX4IXHBBTQCZ6FH7LAQAXQ

not attested not anchored not stored refs pending

Ferromagnetic ordering in Hubbard models

Jacek Wojtkiewicz, Wojciech Niedzi\'o{\l}ka

arxiv:2606.30607 v1 · 2026-06-29 · cond-mat.str-el

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZARKDX4IXHBBTQCZ6FH7LAQAXQ}

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	2026-06-30T02:18:22.449061Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c822a1df88b9c219c059f14ff58200bc3280c92c121afa0cbd62f9081185f62e

Aliases

arxiv: 2606.30607 · arxiv_version: 2606.30607v1 · doi: 10.48550/arxiv.2606.30607 · pith_short_12: ZARKDX4IXHBB · pith_short_16: ZARKDX4IXHBBTQCZ · pith_short_8: ZARKDX4I

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/ZARKDX4IXHBBTQCZ6FH7LAQAXQ \
  | 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: c822a1df88b9c219c059f14ff58200bc3280c92c121afa0cbd62f9081185f62e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1df104fa5221f1c236e151927082ff66c1ae09b9f4dc198f7790e374087add2c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.str-el",
    "submitted_at": "2026-06-29T17:44:24Z",
    "title_canon_sha256": "9cfdf57ad9650978401dcb9d827122ae003c57a3cace06fc68e637cc2bb4e304"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.30607",
    "kind": "arxiv",
    "version": 1
  }
}