Pith Number

pith:OJG26EIW

pith:2025:OJG26EIWYSFKZQ7JC6PYWRGAXB

not attested not anchored not stored refs pending

Phase structure of the one-dimensional $\mathbb{Z}_2$ lattice gauge theory with second nearest-neighbor interactions

Agnieszka Cichy, Aleksey Alekseev, Konrad J. Kapcia, Krzysztof Cichy, Yeimer Zambrano

arxiv:2512.10755 v1 · 2025-12-11 · cond-mat.str-el · hep-lat · hep-ph · physics.comp-ph · quant-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{OJG26EIWYSFKZQ7JC6PYWRGAXB}

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	2026-07-08T01:18:22.680201Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

724daf1116c48aacc3e9179f8b44c0b8778e7b9692658030e00601cefdc4558b

Aliases

arxiv: 2512.10755 · arxiv_version: 2512.10755v1 · doi: 10.48550/arxiv.2512.10755 · pith_short_12: OJG26EIWYSFK · pith_short_16: OJG26EIWYSFKZQ7J · pith_short_8: OJG26EIW

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/OJG26EIWYSFKZQ7JC6PYWRGAXB \
  | 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: 724daf1116c48aacc3e9179f8b44c0b8778e7b9692658030e00601cefdc4558b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7d0cff4fa7b3923d0b788349d7cdcd659004d13eb0fbe995ce03883589e94450",
    "cross_cats_sorted": [
      "hep-lat",
      "hep-ph",
      "physics.comp-ph",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.str-el",
    "submitted_at": "2025-12-11T15:46:18Z",
    "title_canon_sha256": "6f839d541251880d8726dca92862e6d2c570292aa93d2b339a5e105ae58a346d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2512.10755",
    "kind": "arxiv",
    "version": 1
  }
}