Pith Number

pith:AN5KS2LD

pith:2026:AN5KS2LDOJYZTS73UKHEB2H3WO

not attested not anchored not stored refs pending

Wigner negativity and stellar rank for SU(1,1) states

A. B. Klimov, A. Mu\~{n}oz, F. Leuchs, J.-P. Gazeau, L. L. Sanchez-Soto

arxiv:2607.22810 v1 · 2026-07-24 · 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{AN5KS2LDOJYZTS73UKHEB2H3WO}

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	2026-07-28T00:21:55.570655Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

037aa96963727199cbfba28e40e8fbb3bfee1593687b238ab82f896ec448cb0b

Aliases

arxiv: 2607.22810 · arxiv_version: 2607.22810v1 · doi: 10.48550/arxiv.2607.22810 · pith_short_12: AN5KS2LDOJYZ · pith_short_16: AN5KS2LDOJYZTS73 · pith_short_8: AN5KS2LD

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/AN5KS2LDOJYZTS73UKHEB2H3WO \
  | 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: 037aa96963727199cbfba28e40e8fbb3bfee1593687b238ab82f896ec448cb0b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6b22d3475abfe61c4bce4c02be12d5dc5d9d1f9b4234f35e1bed360feca26259",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2026-07-24T18:00:00Z",
    "title_canon_sha256": "0e811780f6ea1c54fdfca28d6670c62f66a9538f5aa39dc3db185d1b3e3f0019"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.22810",
    "kind": "arxiv",
    "version": 1
  }
}