Pith Number

pith:GWICM2JW

pith:2011:GWICM2JWHXVIWYYKKVQ37YSLV5

not attested not anchored not stored refs pending

Entanglement Entropy of Systems with Spontaneously Broken Continuous Symmetry

Max A. Metlitski, Tarun Grover

arxiv:1112.5166 v2 · 2011-12-21 · cond-mat.str-el · hep-th · quant-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GWICM2JWHXVIWYYKKVQ37YSLV5}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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

4 papers in Pith

Generalized Li-Haldane Correspondence in Critical Dirac-Fermion Systems

Criticality on R\'enyi defects at (2+1)$d$ O(3) quantum critical points

Ground states of quantum XY dipoles on the Archimedean lattices

Quantum matter is weakly entangled at low energies

Receipt and verification

First computed	2026-05-18T02:29:53.445525Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

35902669363dea8b630a5561bfe24baf7fd922ba5f12528538b705529f5fd381

Aliases

arxiv: 1112.5166 · arxiv_version: 1112.5166v2 · doi: 10.48550/arxiv.1112.5166 · pith_short_12: GWICM2JWHXVI · pith_short_16: GWICM2JWHXVIWYYK · pith_short_8: GWICM2JW

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/GWICM2JWHXVIWYYKKVQ37YSLV5 \
  | 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: 35902669363dea8b630a5561bfe24baf7fd922ba5f12528538b705529f5fd381

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3e34a8cc4b1ab0abc640d048998c6f8002b51e3f5cd1b94bf4102247f6b3b644",
    "cross_cats_sorted": [
      "hep-th",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.str-el",
    "submitted_at": "2011-12-21T21:00:24Z",
    "title_canon_sha256": "cfac58f57916d156924c1be6e3daacbfc99ee15be4994e0cc4b43fde00571e39"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.5166",
    "kind": "arxiv",
    "version": 2
  }
}