Pith Number

pith:RZG6ZSTD

pith:2014:RZG6ZSTDWUVIJH5SSGT3MN5OGL

not attested not anchored not stored refs pending

Shannon and R\'enyi mutual information in quantum critical spin chains

Jean-Marie St\'ephan

arxiv:1403.6157 v3 · 2014-03-24 · cond-mat.stat-mech · cond-mat.str-el · 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{RZG6ZSTDWUVIJH5SSGT3MN5OGL}

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

Stabilizer-Shannon Renyi Equivalence: Exact Results for Quantum Critical Chains

Receipt and verification

First computed	2026-05-18T02:46:04.351995Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8e4decca63b52a849fb291a7b637ae32ed3860fbce86c297c7144ba554ac2b20

Aliases

arxiv: 1403.6157 · arxiv_version: 1403.6157v3 · doi: 10.48550/arxiv.1403.6157 · pith_short_12: RZG6ZSTDWUVI · pith_short_16: RZG6ZSTDWUVIJH5S · pith_short_8: RZG6ZSTD

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/RZG6ZSTDWUVIJH5SSGT3MN5OGL \
  | 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: 8e4decca63b52a849fb291a7b637ae32ed3860fbce86c297c7144ba554ac2b20

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f052defe9adff45274ce06f2963a61f3c439b2cb23a6136a9f9fde88850056bc",
    "cross_cats_sorted": [
      "cond-mat.str-el",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2014-03-24T21:18:04Z",
    "title_canon_sha256": "04d8df0f5ac71d1ef5b62df721477f4d5588ff5f3796af50ecef4c31f5883e48"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1403.6157",
    "kind": "arxiv",
    "version": 3
  }
}