Pith Number

pith:5ZISAV7K

pith:2026:5ZISAV7KBSOTXPSFQC5TDRT6DF

not attested not anchored not stored refs pending

Magic-protected entanglement and Clifford-irreducible structure in magic state space

Alejandro Borda Kuhlmann, Julian Rincon

arxiv:2607.18400 v1 · 2026-07-20 · quant-ph · cond-mat.stat-mech

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5ZISAV7KBSOTXPSFQC5TDRT6DF}

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	2026-07-22T00:22:46.382116Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ee512057ea0c9d3bbe4580bb31c67e194fd9ab88a2a3387e256df4548c12fcf6

Aliases

arxiv: 2607.18400 · arxiv_version: 2607.18400v1 · doi: 10.48550/arxiv.2607.18400 · pith_short_12: 5ZISAV7KBSOT · pith_short_16: 5ZISAV7KBSOTXPSF · pith_short_8: 5ZISAV7K

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/5ZISAV7KBSOTXPSFQC5TDRT6DF \
  | 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: ee512057ea0c9d3bbe4580bb31c67e194fd9ab88a2a3387e256df4548c12fcf6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c274c58acc1505cab95409f51adbd36e1166335ce952bc721ea486b6df108429",
    "cross_cats_sorted": [
      "cond-mat.stat-mech"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2026-07-20T18:00:20Z",
    "title_canon_sha256": "3409364d13f6a684c192561c4c6d4068b6407623b8213d0cee4b5ed9da77e59a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.18400",
    "kind": "arxiv",
    "version": 1
  }
}