Pith Number

pith:BDPHVHPB

pith:2025:BDPHVHPBHIQQ6O3N5YRS37SRBC

not attested not anchored not stored refs pending

Phase Transition for Stochastic Block Model with more than $\sqrt{n}$ Communities

Alexandra Carpentier, Christophe Giraud, Nicolas Verzelen

arxiv:2509.15822 v3 · 2025-09-19 · stat.ML · cs.LG · math.PR · 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{BDPHVHPBHIQQ6O3N5YRS37SRBC}

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

Low-degree estimation thresholds in planted hypergraphs and tensor PCA

Receipt and verification

First computed	2026-06-19T16:12:47.934436Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

08de7a9de13a210f3b6dee232dfe5108bf3b3bd5df4c8a5c4ab2cb44b475dc41

Aliases

arxiv: 2509.15822 · arxiv_version: 2509.15822v3 · doi: 10.48550/arxiv.2509.15822 · pith_short_12: BDPHVHPBHIQQ · pith_short_16: BDPHVHPBHIQQ6O3N · pith_short_8: BDPHVHPB

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/BDPHVHPBHIQQ6O3N5YRS37SRBC \
  | 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: 08de7a9de13a210f3b6dee232dfe5108bf3b3bd5df4c8a5c4ab2cb44b475dc41

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "876f5f691138238a294a238b31e79ddf8b5f3dd95824556d0ea3442c8614af6e",
    "cross_cats_sorted": [
      "cs.LG",
      "math.PR",
      "math.ST",
      "stat.TH"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "stat.ML",
    "submitted_at": "2025-09-19T09:53:56Z",
    "title_canon_sha256": "4c21eb7cdb81e5aeb1fda298eeddbf6d29d30d61d2c31f63994b017ca9cd8c6d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2509.15822",
    "kind": "arxiv",
    "version": 3
  }
}