Pith Number

pith:GRC3LFMU

pith:2026:GRC3LFMU66SVUG33SJSQ4AMI77

not attested not anchored not stored refs pending

Revealing the topology of quantum states via Kirkwood-Dirac quasiprobabilities

Luca Lepori, Stefano Gherardini

arxiv:2606.11002 v1 · 2026-06-09 · quant-ph · cond-mat.mes-hall · cond-mat.str-el · hep-th · 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{GRC3LFMU66SVUG33SJSQ4AMI77}

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	2026-06-10T01:11:03.018715Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3445b59594f7a55a1b7b92650e0188ffe5b9e89da48e8bd66b516dd73a867ee5

Aliases

arxiv: 2606.11002 · arxiv_version: 2606.11002v1 · doi: 10.48550/arxiv.2606.11002 · pith_short_12: GRC3LFMU66SV · pith_short_16: GRC3LFMU66SVUG33 · pith_short_8: GRC3LFMU

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/GRC3LFMU66SVUG33SJSQ4AMI77 \
  | 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: 3445b59594f7a55a1b7b92650e0188ffe5b9e89da48e8bd66b516dd73a867ee5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0835886a333df7e03931068142cd4dfae5e2f505ec16d6eaf75fd34dceb1927f",
    "cross_cats_sorted": [
      "cond-mat.mes-hall",
      "cond-mat.str-el",
      "hep-th",
      "math-ph",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2026-06-09T15:37:39Z",
    "title_canon_sha256": "19e86658ddbf7c13c240be4d53d83dbd13b8a9173175d72b577d5e43c755c734"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.11002",
    "kind": "arxiv",
    "version": 1
  }
}