Pith Number

pith:MCM7MQMA

pith:2026:MCM7MQMA4YCZGYFLWPXI6JXCYC

not attested not anchored not stored refs pending

Provably Finding a Hidden Dense Submatrix among Many Planted Dense Submatrices via Convex Programming

(2) University of Southampton, Brendan Ames (2) ((1) University of Alabama, Department of Mathematics, Phineas Agar (1), School of Mathematical Sciences), Valentine Olanubi (1)

arxiv:2601.03946 v3 · 2026-01-07 · math.OC · cs.LG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MCM7MQMA4YCZGYFLWPXI6JXCYC}

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	2026-07-03T01:17:54.313402Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6099f64180e6059360abb3ee8f26e2c095758ff05a1f4eac9fe36fdacebb7337

Aliases

arxiv: 2601.03946 · arxiv_version: 2601.03946v3 · doi: 10.48550/arxiv.2601.03946 · pith_short_12: MCM7MQMA4YCZ · pith_short_16: MCM7MQMA4YCZGYFL · pith_short_8: MCM7MQMA

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/MCM7MQMA4YCZGYFLWPXI6JXCYC \
  | 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: 6099f64180e6059360abb3ee8f26e2c095758ff05a1f4eac9fe36fdacebb7337

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "086f9289fafbe449c02503c3707ad7d09de1e9d42fa36b9c9605698cc9e6b9fd",
    "cross_cats_sorted": [
      "cs.LG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2026-01-07T14:02:25Z",
    "title_canon_sha256": "2036e40c84d455435d00948429222c8f951691ce37c673f097821e3b079c3fff"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2601.03946",
    "kind": "arxiv",
    "version": 3
  }
}