Pith Number

pith:2VNRW7NW

pith:2018:2VNRW7NWVPKAPKA6B2NU4KC7HI

not attested not anchored not stored refs pending

Lieb-Schultz-Mattis type theorems for quantum spin chains without continuous symmetry

Hal Tasaki, Yoshiko Ogata

arxiv:1808.08740 v1 · 2018-08-27 · math-ph · cond-mat.stat-mech · math.MP · 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{2VNRW7NWVPKAPKA6B2NU4KC7HI}

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

1 paper in Pith

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

Receipt and verification

First computed	2026-05-17T23:53:29.153536Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d55b1b7db6abd407a81e0e9b4e285f3a2129a7a49983f020b20ebc2846e8cb7e

Aliases

arxiv: 1808.08740 · arxiv_version: 1808.08740v1 · doi: 10.48550/arxiv.1808.08740 · pith_short_12: 2VNRW7NWVPKA · pith_short_16: 2VNRW7NWVPKAPKA6 · pith_short_8: 2VNRW7NW

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/2VNRW7NWVPKAPKA6B2NU4KC7HI \
  | 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: d55b1b7db6abd407a81e0e9b4e285f3a2129a7a49983f020b20ebc2846e8cb7e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e9ebfa2a7a869e2e27f327a43c0ca6adfb31f1c602063f2248372073622b0653",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "math.MP",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2018-08-27T09:01:20Z",
    "title_canon_sha256": "f6e137b8d400ac36c18b76d7be022ff1e7d97c22ddc663de88b03f4c98e8dca9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.08740",
    "kind": "arxiv",
    "version": 1
  }
}