Pith Number

pith:3VSBKTTJ

pith:2021:3VSBKTTJ6QCBN4TM54LUOMWPPW

not attested not anchored not stored refs pending

Computable R\'enyi mutual information: Area laws and correlations

\'Alvaro M. Alhambra, Georgios Styliaris, J. Ignacio Cirac, Samuel O. Scalet

arxiv:2103.01709 v2 · 2021-03-02 · quant-ph · cond-mat.stat-mech · cond-mat.str-el

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3VSBKTTJ6QCBN4TM54LUOMWPPW}

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

2 papers in Pith

Conditional Independence of 1D Gibbs States with Applications to Efficient Learning

Channel-State duality with centers

Receipt and verification

First computed	2026-07-05T03:14:11.431652Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dd64154e69f40416f26cef174732cf7d85e18b9f7070850bc522edee4b12b890

Aliases

arxiv: 2103.01709 · arxiv_version: 2103.01709v2 · doi: 10.48550/arxiv.2103.01709 · pith_short_12: 3VSBKTTJ6QCB · pith_short_16: 3VSBKTTJ6QCBN4TM · pith_short_8: 3VSBKTTJ

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/3VSBKTTJ6QCBN4TM54LUOMWPPW \
  | 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: dd64154e69f40416f26cef174732cf7d85e18b9f7070850bc522edee4b12b890

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b14e490dda187e9265ddb490e536ec97804356694315533f3c349e68959a4159",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "cond-mat.str-el"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2021-03-02T13:33:42Z",
    "title_canon_sha256": "9f96ef1311ea0fd815771d64650c1b8d12f34c1fff243ef9c654784bf1801163"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2103.01709",
    "kind": "arxiv",
    "version": 2
  }
}