Pith Number

pith:DAF52GYV

pith:2024:DAF52GYV5Y73WB45TI4YRXUSRQ

not attested not anchored not stored refs pending

Higher-Order Graphon Theory: Fluctuations, Degeneracies, and Inference

Anirban Chatterjee, Bhaswar B. Bhattacharya, Soham Dan

arxiv:2404.13822 v2 · 2024-04-22 · math.ST · math.PR · 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{DAF52GYV5Y73WB45TI4YRXUSRQ}

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

Functional central limit theorem for the subgraph count of the voter model on dynamic random graphs

Receipt and verification

First computed	2026-07-05T09:07:27.356023Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

180bdd1b15ee3fbb079d9a3988de928c3a4ef9b06ff8baecae9a4902187ffa52

Aliases

arxiv: 2404.13822 · arxiv_version: 2404.13822v2 · doi: 10.48550/arxiv.2404.13822 · pith_short_12: DAF52GYV5Y73 · pith_short_16: DAF52GYV5Y73WB45 · pith_short_8: DAF52GYV

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/DAF52GYV5Y73WB45TI4YRXUSRQ \
  | 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: 180bdd1b15ee3fbb079d9a3988de928c3a4ef9b06ff8baecae9a4902187ffa52

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5d4a43dd2d1708976f3107f918818ffb26822f333b07486bdae16c79e590d1f0",
    "cross_cats_sorted": [
      "math.PR",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2024-04-22T01:53:25Z",
    "title_canon_sha256": "3c55083a21a9985d1cdf00e00988e767406dc9c797ba60c742de609cbd45c55a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2404.13822",
    "kind": "arxiv",
    "version": 2
  }
}