Pith Number

pith:PP7SFAMQ

pith:2009:PP7SFAMQ4HZP63FOVFU6GJ2Y4B

not attested not anchored not stored refs pending

The Hierarchical Random Energy Model

Aurelien Decelle, Giorgio Parisi, Marc Mezard, Michele Castellana, Silvio Franz

arxiv:0912.3634 v3 · 2009-12-18 · cond-mat.stat-mech · cond-mat.dis-nn

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PP7SFAMQ4HZP63FOVFU6GJ2Y4B}

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	2026-05-18T02:43:24.757181Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7bff228190e1f2ff6caea969e32758e0592e02952195e0fc983a8c291e7abf4b

Aliases

arxiv: 0912.3634 · arxiv_version: 0912.3634v3 · doi: 10.48550/arxiv.0912.3634 · pith_short_12: PP7SFAMQ4HZP · pith_short_16: PP7SFAMQ4HZP63FO · pith_short_8: PP7SFAMQ

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/PP7SFAMQ4HZP63FOVFU6GJ2Y4B \
  | 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: 7bff228190e1f2ff6caea969e32758e0592e02952195e0fc983a8c291e7abf4b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "721c3b2754fe657afbff18fdd7d68b6c4342b04d3ab6ae588e2853c1b6d0d97a",
    "cross_cats_sorted": [
      "cond-mat.dis-nn"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2009-12-18T15:26:53Z",
    "title_canon_sha256": "499f12bd961a5570521be37d14c680e287779d03074336156a6901a8f0c4f17b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0912.3634",
    "kind": "arxiv",
    "version": 3
  }
}