Pith Number

pith:QHCEQ2IH

pith:2025:QHCEQ2IHEWWWS53UU3A3QA3GYG

not attested not anchored not stored refs pending

Finding a dense submatrix of a random matrix. Sharp bounds for online algorithms

David Gamarnik, Shankar Bhamidi, Shuyang Gong

arxiv:2507.19259 v1 · 2025-07-25 · math.PR · 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{QHCEQ2IHEWWWS53UU3A3QA3GYG}

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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.

Cited by

1 paper in Pith

Algorithmic Phase Transition for Large Independent Sets in Dense Hypergraphs

Receipt and verification

First computed	2026-07-05T11:43:22.435360Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

81c448690725ad697774a6c1b80366c18e6927fd239e189f7f139c6627c2cbdc

Aliases

arxiv: 2507.19259 · arxiv_version: 2507.19259v1 · doi: 10.48550/arxiv.2507.19259 · pith_short_12: QHCEQ2IHEWWW · pith_short_16: QHCEQ2IHEWWWS53U · pith_short_8: QHCEQ2IH

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/QHCEQ2IHEWWWS53UU3A3QA3GYG \
  | 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: 81c448690725ad697774a6c1b80366c18e6927fd239e189f7f139c6627c2cbdc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "535e933cb08cb83ed72d8a43ae514b3e9be1e0cffb5b8bcce6ea65217f35c576",
    "cross_cats_sorted": [
      "math.ST",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2025-07-25T13:37:19Z",
    "title_canon_sha256": "ac0bf598f6066756abd11b2f0b38eb9c7ef71ccdf4eeff635f76badb4be7c7e2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.19259",
    "kind": "arxiv",
    "version": 1
  }
}