Pith Number

pith:ZDXPJ4TD

pith:2010:ZDXPJ4TDODCL65D4CSFPYTFWI7

not attested not anchored not stored refs pending

Mutual information in classical spin models

Frank Verstraete, Johannes Wilms, Matthias Troyer

arxiv:1011.4421 v3 · 2010-11-19 · 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{ZDXPJ4TDODCL65D4CSFPYTFWI7}

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	2026-05-18T04:07:29.357477Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c8eef4f26370c4bf747c148afc4cb647e00ea2f7e35f8eeef3d55b2a0bb4c654

Aliases

arxiv: 1011.4421 · arxiv_version: 1011.4421v3 · doi: 10.48550/arxiv.1011.4421 · pith_short_12: ZDXPJ4TDODCL · pith_short_16: ZDXPJ4TDODCL65D4 · pith_short_8: ZDXPJ4TD

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/ZDXPJ4TDODCL65D4CSFPYTFWI7 \
  | 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: c8eef4f26370c4bf747c148afc4cb647e00ea2f7e35f8eeef3d55b2a0bb4c654

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "54cce9ea5a58bc853761487b0a9fa08c80ba94f34ae0d1009d8ebddcc55d105d",
    "cross_cats_sorted": [
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2010-11-19T13:08:59Z",
    "title_canon_sha256": "6f82518b5bd59c69890f0bcd57c11cc7ba4085bb0efcb5f94ecdef703c66c038"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.4421",
    "kind": "arxiv",
    "version": 3
  }
}