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Pith Number

pith:3VBOZPB5

pith:2014:3VBOZPB5TSXNPI6Q72J6OPFYCR
not attested not anchored not stored refs pending

Universal behavior of the Shannon and R\'enyi mutual information of quantum critical chains

F. C. Alcaraz, M. A. Rajabpour

arxiv:1405.1074 v2 · 2014-05-05 · cond-mat.stat-mech · hep-th · quant-ph

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{3VBOZPB5TSXNPI6Q72J6OPFYCR}

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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

Receipt and verification
First computed 2026-05-18T01:43:17.581338Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

dd42ecbc3d9caed7a3d0fe93e73cb8145bf05ccce07e0ae598cabaa572e39672

Aliases

arxiv: 1405.1074 · arxiv_version: 1405.1074v2 · doi: 10.48550/arxiv.1405.1074 · pith_short_12: 3VBOZPB5TSXN · pith_short_16: 3VBOZPB5TSXNPI6Q · pith_short_8: 3VBOZPB5
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/3VBOZPB5TSXNPI6Q72J6OPFYCR \
  | 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: dd42ecbc3d9caed7a3d0fe93e73cb8145bf05ccce07e0ae598cabaa572e39672
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "d7a060bbe732fac98108a8644c99f5dbed34e7290c705293d72e2e3d8c4dbd3a",
    "cross_cats_sorted": [
      "hep-th",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2014-05-05T21:11:15Z",
    "title_canon_sha256": "d6f38750c0edade7e5e3e2ae38e7789ac34f9972035b5d08401ea9442fe64411"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1405.1074",
    "kind": "arxiv",
    "version": 2
  }
}