Pith Number

pith:ELUQR6UF

pith:2025:ELUQR6UFOOL2TRK6NC7ZIU7CMR

not attested not anchored not stored refs pending

Stochastic block models with many communities and the Kesten--Stigum bound

Alexander S. Wein, Byron Chin, Elchanan Mossel, Youngtak Sohn

arxiv:2503.03047 v2 · 2025-03-04 · math.PR · cs.SI · math.ST · 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{ELUQR6UFOOL2TRK6NC7ZIU7CMR}

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

3 papers in Pith

Low-degree estimation thresholds in planted hypergraphs and tensor PCA

Sharp Phase Transitions in Estimation with Low-Degree Polynomials

Detectability of minority communities in networks

Receipt and verification

First computed	2026-07-05T11:19:51.906991Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

22e908fa857397a9c55e68bf9453e2644526401c71a30f82281b8edaa456ce54

Aliases

arxiv: 2503.03047 · arxiv_version: 2503.03047v2 · doi: 10.48550/arxiv.2503.03047 · pith_short_12: ELUQR6UFOOL2 · pith_short_16: ELUQR6UFOOL2TRK6 · pith_short_8: ELUQR6UF

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/ELUQR6UFOOL2TRK6NC7ZIU7CMR \
  | 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: 22e908fa857397a9c55e68bf9453e2644526401c71a30f82281b8edaa456ce54

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b644a5d4c6d0548879bc99552cab8f6cd5a853383a5f33bc4cd963835ebbcdb5",
    "cross_cats_sorted": [
      "cs.SI",
      "math.ST",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2025-03-04T23:08:51Z",
    "title_canon_sha256": "a52b19d2cd3e7a4c87ec035294032e2d1498825145f7f9fe45f9eefd24b305fa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2503.03047",
    "kind": "arxiv",
    "version": 2
  }
}