Pith Number

pith:XUC22H4W

pith:2011:XUC22H4WAZ4SDWJAVGHSILD4HO

not attested not anchored not stored refs pending

Finite-temperature mutual information in a simple phase transition

F. Verstraete, J. Vidal, J. Wilms, S. Dusuel

arxiv:1111.5225 v2 · 2011-11-22 · cond-mat.stat-mech · 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{XUC22H4WAZ4SDWJAVGHSILD4HO}

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.

Receipt and verification

First computed	2026-05-18T04:03:31.940629Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bd05ad1f96067921d920a98f242c7c3ba5bb6529ded34b06526a4137d5754516

Aliases

arxiv: 1111.5225 · arxiv_version: 1111.5225v2 · doi: 10.48550/arxiv.1111.5225 · pith_short_12: XUC22H4WAZ4S · pith_short_16: XUC22H4WAZ4SDWJA · pith_short_8: XUC22H4W

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/XUC22H4WAZ4SDWJAVGHSILD4HO \
  | 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: bd05ad1f96067921d920a98f242c7c3ba5bb6529ded34b06526a4137d5754516

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6fe45e06fcfd05aa81e76c5edb64d16fbb0ee8433e11e8b562ff95533e802edd",
    "cross_cats_sorted": [
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2011-11-22T15:40:23Z",
    "title_canon_sha256": "d4f92a85b234dfec13da601399e2b6be95bf9c754a1432760bfdedb703bc7422"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.5225",
    "kind": "arxiv",
    "version": 2
  }
}