Pith Number

pith:7ZQHK4JN

pith:2019:7ZQHK4JNZMZW4UOGECG6PNGSTA

not attested not anchored not stored refs pending

Entanglement entropy of the long-range Dyson hierarchical model

Giorgio Parisi, Pasquale Calabrese, Silvia Pappalardi

arxiv:1904.00015 v1 · 2019-03-29 · 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{7ZQHK4JNZMZW4UOGECG6PNGSTA}

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	2026-05-17T23:40:32.871568Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fe6075712dcb336e51c6208de7b4d29807a3c849206330dd7d670f479a28b16a

Aliases

arxiv: 1904.00015 · arxiv_version: 1904.00015v1 · doi: 10.48550/arxiv.1904.00015 · pith_short_12: 7ZQHK4JNZMZW · pith_short_16: 7ZQHK4JNZMZW4UOG · pith_short_8: 7ZQHK4JN

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/7ZQHK4JNZMZW4UOGECG6PNGSTA \
  | 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: fe6075712dcb336e51c6208de7b4d29807a3c849206330dd7d670f479a28b16a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "083342576a2ca5910d790ecc3a655506b28d719684a2bb8280dc4ec259daebe8",
    "cross_cats_sorted": [
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2019-03-29T18:00:01Z",
    "title_canon_sha256": "2f193e6a98ed39cb389dc8329e7495c18dca54df17a8049f4af9a4ae7258763d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1904.00015",
    "kind": "arxiv",
    "version": 1
  }
}