Pith Number

pith:NOQF54KJ

pith:2026:NOQF54KJZXFAGIAS7SAMZOKD3C

not attested not anchored not stored refs pending

The Ruskai-Audenaert conjecture & equipartitions of positive operators

Michael M. Wolf, Niranjan Kumar

arxiv:2607.23066 v1 · 2026-07-25 · quant-ph · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NOQF54KJZXFAGIAS7SAMZOKD3C}

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	2026-07-28T00:22:10.751307Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6ba05ef149cdca032012fc80ccb943d8abaa9fd4a0cd1e0b09367a35161c5354

Aliases

arxiv: 2607.23066 · arxiv_version: 2607.23066v1 · doi: 10.48550/arxiv.2607.23066 · pith_short_12: NOQF54KJZXFA · pith_short_16: NOQF54KJZXFAGIAS · pith_short_8: NOQF54KJ

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/NOQF54KJZXFAGIAS7SAMZOKD3C \
  | 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: 6ba05ef149cdca032012fc80ccb943d8abaa9fd4a0cd1e0b09367a35161c5354

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7e7324d3f8b913e865d3223e6f35c92638417ae0d07cb1373bf51e571027b849",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2026-07-25T06:23:15Z",
    "title_canon_sha256": "bb998ff6ed2cdec2e0591e744452ad14f57d0099563d017c90deb9e6213bece5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.23066",
    "kind": "arxiv",
    "version": 1
  }
}