Pith Number

pith:RIZUFJTX

pith:2011:RIZUFJTXUDO2O2HD2RRPJWXYAW

not attested not anchored not stored refs pending

Boundedness of Entanglement Entropy,and Split Property of Quantum Spin Chains

Taku Matsui

arxiv:1109.5778 v1 · 2011-09-27 · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RIZUFJTXUDO2O2HD2RRPJWXYAW}

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	2026-05-18T04:12:11.228917Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8a3342a677a0dda768e3d462f4daf805bead6e468040d51b8c6ee40495ff1134

Aliases

arxiv: 1109.5778 · arxiv_version: 1109.5778v1 · doi: 10.48550/arxiv.1109.5778 · pith_short_12: RIZUFJTXUDO2 · pith_short_16: RIZUFJTXUDO2O2HD · pith_short_8: RIZUFJTX

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/RIZUFJTXUDO2O2HD2RRPJWXYAW \
  | 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: 8a3342a677a0dda768e3d462f4daf805bead6e468040d51b8c6ee40495ff1134

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c6578f946bb8a57b6dd6b1969d84d2f95b805e5670bccf72315f96d91741643f",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2011-09-27T05:51:11Z",
    "title_canon_sha256": "1bb6b41d1176cb6baba6a1f0754b476b430d0ce4f7d376eac93efe812a6a7280"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.5778",
    "kind": "arxiv",
    "version": 1
  }
}