Pith Number

pith:ICL5JJFR

pith:2026:ICL5JJFR7R56GOYERSTKTNQOAF

not attested not anchored not stored refs pending

Quantum Cut Sparsifiers

Aaron Putterman, Arpon Basu, Joshua Brakensiek, Pravesh K. Kothari

arxiv:2606.09728 v1 · 2026-06-08 · quant-ph · cs.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ICL5JJFR7R56GOYERSTKTNQOAF}

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	2026-06-09T02:09:06.325233Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4097d4a4b1fc7be33b048ca6a9b60e0173b9b1b69f9d7e4febfc2342558f5280

Aliases

arxiv: 2606.09728 · arxiv_version: 2606.09728v1 · doi: 10.48550/arxiv.2606.09728 · pith_short_12: ICL5JJFR7R56 · pith_short_16: ICL5JJFR7R56GOYE · pith_short_8: ICL5JJFR

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/ICL5JJFR7R56GOYERSTKTNQOAF \
  | 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: 4097d4a4b1fc7be33b048ca6a9b60e0173b9b1b69f9d7e4febfc2342558f5280

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fbc9b5a1f27fb651aad6971a6356d2bb17240db9cbb21e220c8235f64084a3df",
    "cross_cats_sorted": [
      "cs.DS"
    ],
    "license": "http://creativecommons.org/licenses/by-sa/4.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2026-06-08T16:51:08Z",
    "title_canon_sha256": "4aee57339b6a4823d6d5b1aba71e1a84bc71598371d2b40b0e58b41e55bfc386"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.09728",
    "kind": "arxiv",
    "version": 1
  }
}