Pith Number

pith:KMRIQOPF

pith:2024:KMRIQOPFLXHT3LZQM2BUXO625E

not attested not anchored not stored refs pending

The set of Kirkwood-Dirac positive states is almost always minimal

Christopher K. Long, Christopher Langrenez, David R.M. Arvidsson-Shukur, Jonathan J. Thio, Stephan De Bi\`evre, Wilfred Salmon

arxiv:2405.17557 v1 · 2024-05-27 · 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{KMRIQOPFLXHT3LZQM2BUXO625E}

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.

Cited by

1 paper in Pith

Generalization of Zeroth-Order Method for Quotients of Quadratic Functions

Receipt and verification

First computed	2026-06-30T00:15:06.815620Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

53228839e55dcf3daf3066834bbbdae9314f55f2f77b978e66b1ccdb1a1aedac

Aliases

arxiv: 2405.17557 · arxiv_version: 2405.17557v1 · doi: 10.48550/arxiv.2405.17557 · pith_short_12: KMRIQOPFLXHT · pith_short_16: KMRIQOPFLXHT3LZQ · pith_short_8: KMRIQOPF

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/KMRIQOPFLXHT3LZQM2BUXO625E \
  | 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: 53228839e55dcf3daf3066834bbbdae9314f55f2f77b978e66b1ccdb1a1aedac

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3bc02373d131ac19837d75dcf74e0d153ca231e72b3af03f821adbbae04d9543",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2024-05-27T18:00:04Z",
    "title_canon_sha256": "e7a302582165f1ae1a6ac7cb00acf052851a1aaff6c7cdbdfc4293c1e36bee3c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2405.17557",
    "kind": "arxiv",
    "version": 1
  }
}