Pith Number

pith:B64343V6

pith:2024:B64343V6S4YUZNOUFUBRQ5333S

not attested not anchored not stored refs pending

Functional Central limit theorems for microscopic and macroscopic functionals of inhomogeneous random graphs

Akshay Sakanaveeti, Amarjit Budhiraja, Shankar Bhamidi

arxiv:2412.13672 v2 · 2024-12-18 · math.PR

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{B64343V6S4YUZNOUFUBRQ5333S}

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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

Asymptotics of the number of labelled connected sparse multitype graphs

Receipt and verification

First computed	2026-07-05T10:02:56.369744Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0fb9be6ebe97314cb5d42d0318777bdca310cd1b14f0d635350eeb2c17b42393

Aliases

arxiv: 2412.13672 · arxiv_version: 2412.13672v2 · doi: 10.48550/arxiv.2412.13672 · pith_short_12: B64343V6S4YU · pith_short_16: B64343V6S4YUZNOU · pith_short_8: B64343V6

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/B64343V6S4YUZNOUFUBRQ5333S \
  | 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: 0fb9be6ebe97314cb5d42d0318777bdca310cd1b14f0d635350eeb2c17b42393

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4558b52a9b543a633643c76a1f6fc85c84386931ce19c0599ae9ca33f736a856",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2024-12-18T09:53:47Z",
    "title_canon_sha256": "a2306735445cb952e2e3a671426a4d6f5416978f30b8c2ff69a89363a4354b36"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.13672",
    "kind": "arxiv",
    "version": 2
  }
}