Pith Number

pith:XH4ZXBCW

pith:2025:XH4ZXBCW3MS7PHDQ4FFJR7FLRR

not attested not anchored not stored refs pending

Higher symmetries, anomalies, and crossed squares in lattice gauge theory

Anton Kapustin, Lev Spodyneiko

arxiv:2507.16966 v1 · 2025-07-22 · hep-th · cond-mat.str-el · math-ph · math.MP · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XH4ZXBCW3MS7PHDQ4FFJR7FLRR}

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.

Cited by

3 papers in Pith

$K$-Theoretic Obstructions to Linearizing QCA Representations

Infinite-Order Lattice Chiral Anomalies and CPT

Onsiteability of Higher-Form Symmetries

Receipt and verification

First computed	2026-07-05T11:41:59.162715Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b9f99b8456db25f79c70e14a98fcab8c770158c0e8e372165d517e73bd7c5abb

Aliases

arxiv: 2507.16966 · arxiv_version: 2507.16966v1 · doi: 10.48550/arxiv.2507.16966 · pith_short_12: XH4ZXBCW3MS7 · pith_short_16: XH4ZXBCW3MS7PHDQ · pith_short_8: XH4ZXBCW

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/XH4ZXBCW3MS7PHDQ4FFJR7FLRR \
  | 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: b9f99b8456db25f79c70e14a98fcab8c770158c0e8e372165d517e73bd7c5abb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f53c1f8f2f7da5a792fc71a9d2359cd6a3c4bb5e6d16e76fd599d71761a04c24",
    "cross_cats_sorted": [
      "cond-mat.str-el",
      "math-ph",
      "math.MP",
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2025-07-22T19:10:14Z",
    "title_canon_sha256": "f9f95c56fb9535e6698177b7aa69a222d03112bb69326da1de141a792ba246a5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.16966",
    "kind": "arxiv",
    "version": 1
  }
}