Pith Number

pith:3XFKOXL4

pith:2013:3XFKOXL4A2AFWXNFCEO5SAQJH6

not attested not anchored not stored refs pending

Universal behavior of the Shannon mutual information of critical quantum chains

F. C. Alcaraz, M. A. Rajabpour

arxiv:1305.1239 v2 · 2013-05-06 · cond-mat.stat-mech · hep-th · 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{3XFKOXL4A2AFWXNFCEO5SAQJH6}

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	2026-05-18T01:50:11.733345Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ddcaa75d7c06805b5da5111dd902093fafdd20c7c74665c9291aa993b35a60d1

Aliases

arxiv: 1305.1239 · arxiv_version: 1305.1239v2 · doi: 10.48550/arxiv.1305.1239 · pith_short_12: 3XFKOXL4A2AF · pith_short_16: 3XFKOXL4A2AFWXNF · pith_short_8: 3XFKOXL4

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/3XFKOXL4A2AFWXNFCEO5SAQJH6 \
  | 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: ddcaa75d7c06805b5da5111dd902093fafdd20c7c74665c9291aa993b35a60d1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "31214e435062cc25fe0763e4c04b35174b5c29c5002fc9edd02e7305efed2460",
    "cross_cats_sorted": [
      "hep-th",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2013-05-06T16:30:14Z",
    "title_canon_sha256": "5a656fc1ddf28272107160937a1a1641a3a27ae4ed496a5f407488188d3d076c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.1239",
    "kind": "arxiv",
    "version": 2
  }
}