Pith Number

pith:U622UQ7Y

pith:2026:U622UQ7YLSLHOJDBAKRYTXVVBU

not attested not anchored not stored refs pending

$\mathrm{SL}(2,\mathbb{Z})$ Theta Subgroup Structure of Maxwell theory in the Lattice Villain Hamiltonian Formulation

Shoto Aoki, Toshinari Takemoto, Yoshio Kikukawa

arxiv:2607.25332 v1 · 2026-07-28 · hep-lat

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{U622UQ7YLSLHOJDBAKRYTXVVBU}

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	2026-07-29T01:25:09.708645Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a7b5aa43f85c9677246102a389deb50d3ea93cc01227591130ae452867404177

Aliases

arxiv: 2607.25332 · arxiv_version: 2607.25332v1 · doi: 10.48550/arxiv.2607.25332 · pith_short_12: U622UQ7YLSLH · pith_short_16: U622UQ7YLSLHOJDB · pith_short_8: U622UQ7Y

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/U622UQ7YLSLHOJDBAKRYTXVVBU \
  | 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: a7b5aa43f85c9677246102a389deb50d3ea93cc01227591130ae452867404177

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5edc27d2cbe0be101c2b08444fffa2b08793f3e9f9459d4e68c20a0c3551a843",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-lat",
    "submitted_at": "2026-07-28T06:32:43Z",
    "title_canon_sha256": "d6e38526a2fc87f9f739b4584744f5403eed727ca7185245bd01e0539850b437"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.25332",
    "kind": "arxiv",
    "version": 1
  }
}