Pith Number

pith:MOD7PG3Y

pith:2026:MOD7PG3Y5A4HFG4VNRXUECT3XC

not attested not anchored not stored refs pending

Level statistics in the fractal phase of generalized Rosenzweig--Porter models

Alexander K. Hartmann, Davide Venturelli, Leticia F. Cugliandolo, Marco Tarzia, Victor Delapalme

arxiv:2607.09444 v1 · 2026-07-10 · cond-mat.dis-nn · cond-mat.stat-mech

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MOD7PG3Y5A4HFG4VNRXUECT3XC}

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	2026-07-13T01:19:15.518935Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6387f79b78e838729b956c6f420a7bb8927c8eb9c087349d5efef047a26c9252

Aliases

arxiv: 2607.09444 · arxiv_version: 2607.09444v1 · doi: 10.48550/arxiv.2607.09444 · pith_short_12: MOD7PG3Y5A4H · pith_short_16: MOD7PG3Y5A4HFG4V · pith_short_8: MOD7PG3Y

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/MOD7PG3Y5A4HFG4VNRXUECT3XC \
  | 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: 6387f79b78e838729b956c6f420a7bb8927c8eb9c087349d5efef047a26c9252

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c9c6ac44f27f3da167f397297906a7c6607089ced23f17ce9b8a4eb491c2da7f",
    "cross_cats_sorted": [
      "cond-mat.stat-mech"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cond-mat.dis-nn",
    "submitted_at": "2026-07-10T14:15:25Z",
    "title_canon_sha256": "047a4ec44eef8fecebd69ef4f4ad7cfd757d3f335da9e8bb52308fbde1aee4db"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.09444",
    "kind": "arxiv",
    "version": 1
  }
}