Pith Number

pith:VX3G5EKR

pith:2024:VX3G5EKRIUPTQJW6IR3JBJ3GSY

not attested not anchored not stored refs pending

Bad local minima exist in the stochastic block model

Amin Coja-Oghlan, Johannes Christian Lawnik, Lena Krieg, Olga Scheftelowitsch

arxiv:2407.17851 v1 · 2024-07-25 · math.ST · cs.DM · cs.IT · math-ph · math.IT · math.MP · 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{VX3G5EKRIUPTQJW6IR3JBJ3GSY}

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.

Receipt and verification

First computed	2026-07-05T08:48:22.540624Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

adf66e9151451f3826de447690a766960304168d6ac9bceba26c9c12a8412a17

Aliases

arxiv: 2407.17851 · arxiv_version: 2407.17851v1 · doi: 10.48550/arxiv.2407.17851 · pith_short_12: VX3G5EKRIUPT · pith_short_16: VX3G5EKRIUPTQJW6 · pith_short_8: VX3G5EKR

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/VX3G5EKRIUPTQJW6IR3JBJ3GSY \
  | 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: adf66e9151451f3826de447690a766960304168d6ac9bceba26c9c12a8412a17

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4bf43808c715f4c407b9a65863d9ba2ec8c93826824f706ba0e9417115ba24b3",
    "cross_cats_sorted": [
      "cs.DM",
      "cs.IT",
      "math-ph",
      "math.IT",
      "math.MP",
      "math.PR",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2024-07-25T08:08:49Z",
    "title_canon_sha256": "a92bda5b29909a56826e91769909149db89a9eb5c193924943f85f650c67e552"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2407.17851",
    "kind": "arxiv",
    "version": 1
  }
}