Pith Number

pith:MPR3JWJ2

pith:2020:MPR3JWJ2XH3XXRH5KCDHR2QNCZ

not attested not anchored not stored refs pending

General Lieb-Schultz-Mattis type theorems for quantum spin chains

Hal Tasaki, Yoshiko Ogata, Yuji Tachikawa

arxiv:2004.06458 v2 · 2020-04-14 · math-ph · cond-mat.str-el · math.MP · math.OA

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MPR3JWJ2XH3XXRH5KCDHR2QNCZ}

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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

5 papers in Pith

$E_\infty^{1,2}$-type Lieb-Schultz-Mattis anomalies, deconfined quantum critical points, and non-invertible symmetry breaking

A local description of strong symmetries and strong-to-weak symmetry breaking in quantum many-body systems

Self-$G$-ality in 1+1 dimensions

Tori, Klein Bottles, and Modulo 8 Parity/Time-reversal Anomalies of 2+1d Staggered Fermions

Symmetry Spans and Enforced Gaplessness

Receipt and verification

First computed	2026-07-05T02:55:06.051269Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

63e3b4d93ab9f77bc4fd508678ea0d167b4654906511ec6c7c84e8b58931c30d

Aliases

arxiv: 2004.06458 · arxiv_version: 2004.06458v2 · doi: 10.48550/arxiv.2004.06458 · pith_short_12: MPR3JWJ2XH3X · pith_short_16: MPR3JWJ2XH3XXRH5 · pith_short_8: MPR3JWJ2

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/MPR3JWJ2XH3XXRH5KCDHR2QNCZ \
  | 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: 63e3b4d93ab9f77bc4fd508678ea0d167b4654906511ec6c7c84e8b58931c30d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f88055c7c85728e26c74cadfb6fc702cb79ee4871aefb93f42520bdd9a1cc097",
    "cross_cats_sorted": [
      "cond-mat.str-el",
      "math.MP",
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2020-04-14T13:02:49Z",
    "title_canon_sha256": "4c7e0225b9890f462a34d9ae5e863f31f9a07bc06bc1c4f85b3f6b2307172ddd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2004.06458",
    "kind": "arxiv",
    "version": 2
  }
}