Pith Number

pith:7K6MGJYL

pith:2026:7K6MGJYL4GOIPDYLQRUMBI3ZUE

not attested not anchored not stored refs pending

Exact solution of generalized gauge-invariant Ising chains with multi-spin interactions

Pavel Khrapov, Stepan Shchurenkov

arxiv:2605.23228 v1 · 2026-05-22 · cond-mat.stat-mech

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7K6MGJYL4GOIPDYLQRUMBI3ZUE}

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	2026-05-25T02:01:44.646187Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fabcc3270be19c878f0b8468c0a379a1206a2b88e8dc1995b3ddab9fcf1d0ccb

Aliases

arxiv: 2605.23228 · arxiv_version: 2605.23228v1 · doi: 10.48550/arxiv.2605.23228 · pith_short_12: 7K6MGJYL4GOI · pith_short_16: 7K6MGJYL4GOIPDYL · pith_short_8: 7K6MGJYL

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/7K6MGJYL4GOIPDYLQRUMBI3ZUE \
  | 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: fabcc3270be19c878f0b8468c0a379a1206a2b88e8dc1995b3ddab9fcf1d0ccb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c06c5387e210d91b34607ac1e3f9f30ba26a0ee32723e0f2fe0626c4e976a316",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2026-05-22T04:40:52Z",
    "title_canon_sha256": "7a97389f838df5d5e445c9d5bdccaec877b9e627befdb5b848fc8da98750bce8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.23228",
    "kind": "arxiv",
    "version": 1
  }
}