Pith Number

pith:JX2EPUAK

pith:2026:JX2EPUAKMBFNBGNCT4BR2WIAJU

not attested not anchored not stored refs pending

Renormalisation of Inhomogeneous Random Graphs

Diego Garlaschelli, Frank den Hollander, Luca Avena, Rajat Subhra Hazra

arxiv:2607.12459 v1 · 2026-07-14 · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JX2EPUAKMBFNBGNCT4BR2WIAJU}

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	2026-07-15T01:21:36.244022Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4df447d00a604ad099a29f031d59004d1ea47af585b3b221f172482d92c60239

Aliases

arxiv: 2607.12459 · arxiv_version: 2607.12459v1 · doi: 10.48550/arxiv.2607.12459 · pith_short_12: JX2EPUAKMBFN · pith_short_16: JX2EPUAKMBFNBGNC · pith_short_8: JX2EPUAK

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/JX2EPUAKMBFNBGNCT4BR2WIAJU \
  | 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: 4df447d00a604ad099a29f031d59004d1ea47af585b3b221f172482d92c60239

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "384b02711cdce492259847b5b93836892463092b370c8c42e9a666893dfd2217",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2026-07-14T07:41:58Z",
    "title_canon_sha256": "22b6d56f6569ea98d6f67ae3e7e1c417dadf7c9e5e5685f79bc90ca8f52d95f1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.12459",
    "kind": "arxiv",
    "version": 1
  }
}