Pith Number

pith:6DU4OYCA

pith:2010:6DU4OYCAO4IFHOOE3VYMTRBCUM

not attested not anchored not stored refs pending

Weak Recovery Conditions from Graph Partitioning Bounds and Order Statistics

Alexandre d'Aspremont, Noureddine El Karoui

arxiv:1004.5151 v4 · 2010-04-28 · math.OC · 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{6DU4OYCAO4IFHOOE3VYMTRBCUM}

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	2026-05-18T02:24:15.233761Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f0e9c76040771053b9c4dd70c9c422a32f29573e4057a90ed52766e457decb3d

Aliases

arxiv: 1004.5151 · arxiv_version: 1004.5151v4 · doi: 10.48550/arxiv.1004.5151 · pith_short_12: 6DU4OYCAO4IF · pith_short_16: 6DU4OYCAO4IFHOOE · pith_short_8: 6DU4OYCA

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/6DU4OYCAO4IFHOOE3VYMTRBCUM \
  | 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: f0e9c76040771053b9c4dd70c9c422a32f29573e4057a90ed52766e457decb3d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e340a70fe009f84ab19e5669299ebd5f9465239ca1d852935ca84b2bbe92586a",
    "cross_cats_sorted": [
      "math.ST",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2010-04-28T21:24:05Z",
    "title_canon_sha256": "c02c65148cd3038e6297e43f13f66318aa77ea179ebd903d60786edbcbeff0a2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1004.5151",
    "kind": "arxiv",
    "version": 4
  }
}