Pith Number

pith:J36HMJXP

pith:2018:J36HMJXPFYW3IBVVIJ3RRJV2JO

not attested not anchored not stored refs pending

On sparsity of the solution to a random quadratic optimization problem

Boris Pittel, Xin Chen

arxiv:1802.09446 v1 · 2018-02-26 · 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{J36HMJXPFYW3IBVVIJ3RRJV2JO}

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	2026-05-18T00:22:33.677763Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4efc7626ef2e2db406b5427718a6ba4b82afa11687a4ac9279f8b85ae289ee11

Aliases

arxiv: 1802.09446 · arxiv_version: 1802.09446v1 · doi: 10.48550/arxiv.1802.09446 · pith_short_12: J36HMJXPFYW3 · pith_short_16: J36HMJXPFYW3IBVV · pith_short_8: J36HMJXP

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/J36HMJXPFYW3IBVVIJ3RRJV2JO \
  | 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: 4efc7626ef2e2db406b5427718a6ba4b82afa11687a4ac9279f8b85ae289ee11

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3d18c4316552cf17613b7aac0e4e43f700ac86f67708b6cb7a102b3c19cbf016",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2018-02-26T16:45:27Z",
    "title_canon_sha256": "96f699f3f56790ad5b4e61dc5ab1bae36c61af963a31181cbcc289575502c0bd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1802.09446",
    "kind": "arxiv",
    "version": 1
  }
}