Pith Number

pith:4L3BJ2PM

pith:2013:4L3BJ2PMPHRW3BSPKWFOSL5VHG

not attested not anchored not stored refs pending

Optimality of $\ell_2/\ell_1$-optimization block-length dependent thresholds

Mihailo Stojnic

arxiv:1304.0001 v1 · 2013-03-29 · cs.IT · math.IT · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4L3BJ2PMPHRW3BSPKWFOSL5VHG}

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	2026-05-18T03:29:26.345375Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e2f614e9ec79e36d864f558ae92fb539bc22f30c97719c515f2bcfa70b5a6045

Aliases

arxiv: 1304.0001 · arxiv_version: 1304.0001v1 · doi: 10.48550/arxiv.1304.0001 · pith_short_12: 4L3BJ2PMPHRW · pith_short_16: 4L3BJ2PMPHRW3BSP · pith_short_8: 4L3BJ2PM

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/4L3BJ2PMPHRW3BSPKWFOSL5VHG \
  | 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: e2f614e9ec79e36d864f558ae92fb539bc22f30c97719c515f2bcfa70b5a6045

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "88e377912247a28e94060f2e3f36292ac09b2d1cc711d9ab959e2aa70e139361",
    "cross_cats_sorted": [
      "math.IT",
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2013-03-29T03:50:15Z",
    "title_canon_sha256": "6d11336e880642b1cc340d2f9b7bdff3ad246961649677b5d9a412cf624952ef"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.0001",
    "kind": "arxiv",
    "version": 1
  }
}