Pith Number

pith:XO5F7AIB

pith:2026:XO5F7AIBNK43B4CZDHMLZZRSGN

not attested not anchored not stored refs pending

Ising Models on Inhomogeneous Random Graphs: Inference, Local Asymptotic Minimaxity, and Limit of Experiments

Anirban Chatterjee, Bhaswar B. Bhattacharya, Sanchayan Bhowal, Somabha Mukherjee

arxiv:2606.07065 v1 · 2026-06-05 · math.ST · math.PR · stat.ME · stat.TH

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XO5F7AIBNK43B4CZDHMLZZRSGN}

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.

Cited by

1 paper in Pith

Scaling Limits for Ising Models on Inhomogeneous Random Graphs and Applications

Receipt and verification

First computed	2026-06-08T01:04:44.151422Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bbba5f81016ab9b0f05919d8bce632336578592c72b496055ca9ac96ab2451c5

Aliases

arxiv: 2606.07065 · arxiv_version: 2606.07065v1 · doi: 10.48550/arxiv.2606.07065 · pith_short_12: XO5F7AIBNK43 · pith_short_16: XO5F7AIBNK43B4CZ · pith_short_8: XO5F7AIB

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/XO5F7AIBNK43B4CZDHMLZZRSGN \
  | 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: bbba5f81016ab9b0f05919d8bce632336578592c72b496055ca9ac96ab2451c5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "14225280614b59a769b6f7049a5b073628130143845b4fdf41e8abbe0ffa57d0",
    "cross_cats_sorted": [
      "math.PR",
      "stat.ME",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2026-06-05T09:05:29Z",
    "title_canon_sha256": "9e05e8ea7f6b4a3f52f9f6ef52ad8c643ef67908092eda895e2f1a648699a04c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.07065",
    "kind": "arxiv",
    "version": 1
  }
}