Pith Number

pith:PA2R2ODK

pith:2026:PA2R2ODKPWCXNDYJTLPB7LG2VW

not attested not anchored not stored refs pending

Quantum Kernels are Spectral Tensor Networks

Erik M. {\AA}sgrim, Stefano Markidis

arxiv:2606.20402 v1 · 2026-06-18 · quant-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{PA2R2ODKPWCXNDYJTLPB7LG2VW}

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	2026-06-19T16:13:11.667187Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

78351d386a7d85768f099ade1facdaad8db2a4270fe489d5383224b52cceabf8

Aliases

arxiv: 2606.20402 · arxiv_version: 2606.20402v1 · doi: 10.48550/arxiv.2606.20402 · pith_short_12: PA2R2ODKPWCX · pith_short_16: PA2R2ODKPWCXNDYJ · pith_short_8: PA2R2ODK

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/PA2R2ODKPWCXNDYJTLPB7LG2VW \
  | 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: 78351d386a7d85768f099ade1facdaad8db2a4270fe489d5383224b52cceabf8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "90d055efa80d2be3f7113e768e64b1c23ab27822c1193fcd25240a259ac9d842",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2026-06-18T15:56:03Z",
    "title_canon_sha256": "277688f65951404534512dd2a3d42e18b0a29cad1d90a5153ce71976b6604e8b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.20402",
    "kind": "arxiv",
    "version": 1
  }
}