Pith Number

pith:5HCAIBMF

pith:2026:5HCAIBMF3ZOY6WIGTZJXEI6GN2

not attested not anchored not stored refs pending

Provably Efficient Learning of Fermionic Correlations under Particle-Number Symmetry

Kaito Wada, Nobuyuki Yoshioka, Toshinori P. Takama, Yuki Koizumi

arxiv:2606.30601 v1 · 2026-06-29 · 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{5HCAIBMF3ZOY6WIGTZJXEI6GN2}

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	2026-06-30T02:18:22.276596Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e9c4040585de5d8f59069e537223c66e9e176c93dbdcea1cd7975849726f6152

Aliases

arxiv: 2606.30601 · arxiv_version: 2606.30601v1 · doi: 10.48550/arxiv.2606.30601 · pith_short_12: 5HCAIBMF3ZOY · pith_short_16: 5HCAIBMF3ZOY6WIG · pith_short_8: 5HCAIBMF

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/5HCAIBMF3ZOY6WIGTZJXEI6GN2 \
  | 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: e9c4040585de5d8f59069e537223c66e9e176c93dbdcea1cd7975849726f6152

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a4423784384d8172ea8862e291f6562860da6e8425331c8acf8c629f38e7376c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2026-06-29T17:40:18Z",
    "title_canon_sha256": "3b0abeacde06c77e3389a5dfb24d04b1e0012a7cc81d9d4ff3d9002cc9898f8e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.30601",
    "kind": "arxiv",
    "version": 1
  }
}