Pith Number

pith:Y6ZTUOL2

pith:2026:Y6ZTUOL25TRT3LWGKNYFBX6BPJ

not attested not anchored not stored refs pending

The temporal stochastic block model

G\'abor Lugosi, Guillem Perarnau, Sofiya Burova

arxiv:2606.09488 v1 · 2026-06-08 · math.PR

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Y6ZTUOL25TRT3LWGKNYFBX6BPJ}

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	2026-06-09T02:08:51.307540Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c7b33a397aece33daec6537050dfc17a7ed24754dd326843beccb76de28dbf57

Aliases

arxiv: 2606.09488 · arxiv_version: 2606.09488v1 · doi: 10.48550/arxiv.2606.09488 · pith_short_12: Y6ZTUOL25TRT · pith_short_16: Y6ZTUOL25TRT3LWG · pith_short_8: Y6ZTUOL2

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/Y6ZTUOL25TRT3LWGKNYFBX6BPJ \
  | 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: c7b33a397aece33daec6537050dfc17a7ed24754dd326843beccb76de28dbf57

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "31aa796ffabc16ae33685f351bb3564dc4c3787a79ef2a1ea017c24b890b180f",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2026-06-08T13:42:47Z",
    "title_canon_sha256": "845b26d682393a74392f53c4e7c23840408fbafc08121801f8190a7ffd1da553"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.09488",
    "kind": "arxiv",
    "version": 1
  }
}