Pith Number

pith:AR4P7FFW

pith:2026:AR4P7FFWQXL65KE4UJBWYB5KPD

not attested not anchored not stored refs pending

Beyond Orbital Rotations: Correlation-Rank Limits and Clifford-Accessible Measurement, from Algebra and Global Optimization

Federico Zahariev, Vanda Glezakou

arxiv:2607.16869 v1 · 2026-07-18 · quant-ph · physics.chem-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AR4P7FFWQXL65KE4UJBWYB5KPD}

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	2026-07-21T01:21:03.117181Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0478ff94b685d7eea89ca2436c07aa78df991cf3613cc3f02e34baed670dbc36

Aliases

arxiv: 2607.16869 · arxiv_version: 2607.16869v1 · doi: 10.48550/arxiv.2607.16869 · pith_short_12: AR4P7FFWQXL6 · pith_short_16: AR4P7FFWQXL65KE4 · pith_short_8: AR4P7FFW

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/AR4P7FFWQXL65KE4UJBWYB5KPD \
  | 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: 0478ff94b685d7eea89ca2436c07aa78df991cf3613cc3f02e34baed670dbc36

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0c5898568d4a2212d40441b9b5227cc5e119d2f0ca2a0b8eea2ad897a2cbc991",
    "cross_cats_sorted": [
      "physics.chem-ph"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2026-07-18T16:14:30Z",
    "title_canon_sha256": "bfaed10821fe5297016c478434cc423864dd311ec0c999361c3c1659cdab8641"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.16869",
    "kind": "arxiv",
    "version": 1
  }
}