Pith Number

pith:VBEBBUWP

pith:2022:VBEBBUWPN55LKC7TOPVGA73CVQ

not attested not anchored not stored refs pending

Statistical and Computational Phase Transitions in Group Testing

Alexander S. Wein, Amin Coja-Oghlan, Ilias Zadik, Max Hahn-Klimroth, Oliver Gebhard

arxiv:2206.07640 v1 · 2022-06-15 · stat.ML · cs.DS · cs.IT · cs.LG · math.IT · 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{VBEBBUWPN55LKC7TOPVGA73CVQ}

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	2026-07-05T04:32:07.175951Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a84810d2cf6f7ab50bf373ea607f62ac300cff625bf1c21d5c438fb54b6418d6

Aliases

arxiv: 2206.07640 · arxiv_version: 2206.07640v1 · doi: 10.48550/arxiv.2206.07640 · pith_short_12: VBEBBUWPN55L · pith_short_16: VBEBBUWPN55LKC7T · pith_short_8: VBEBBUWP

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/VBEBBUWPN55LKC7TOPVGA73CVQ \
  | 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: a84810d2cf6f7ab50bf373ea607f62ac300cff625bf1c21d5c438fb54b6418d6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "89eeb934b335cb83374125681e32c2b58ea4782f900bb1fc5421f55b76fa265f",
    "cross_cats_sorted": [
      "cs.DS",
      "cs.IT",
      "cs.LG",
      "math.IT",
      "math.ST",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.ML",
    "submitted_at": "2022-06-15T16:38:50Z",
    "title_canon_sha256": "e0015453397e1cfeb15c20516739a4f2b1b7dee3e3445f3e5c2290d90a75625e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2206.07640",
    "kind": "arxiv",
    "version": 1
  }
}