Pith Number

pith:6SWNOFRI

pith:2026:6SWNOFRIFVW7ZL4FAVLT6QOD72

not attested not anchored not stored refs pending

Expressibility and trainability of a two-dimensional pairwise quantum-circuit ansatz

Ji-Chong Yang, Shuai Zhang, Wei Liu

arxiv:2607.12996 v1 · 2026-07-14 · 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{6SWNOFRIFVW7ZL4FAVLT6QOD72}

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	2026-07-15T01:22:29.880755Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f4acd716282d6dfcaf8505573f41c3feaeeea304836a37faa97708c6e59d15b1

Aliases

arxiv: 2607.12996 · arxiv_version: 2607.12996v1 · doi: 10.48550/arxiv.2607.12996 · pith_short_12: 6SWNOFRIFVW7 · pith_short_16: 6SWNOFRIFVW7ZL4F · pith_short_8: 6SWNOFRI

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/6SWNOFRIFVW7ZL4FAVLT6QOD72 \
  | 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: f4acd716282d6dfcaf8505573f41c3feaeeea304836a37faa97708c6e59d15b1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2b3d959b1044d0cd64b5c25c22bb1f09432e89456ce8eb489c2e0406f058188c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2026-07-14T17:47:25Z",
    "title_canon_sha256": "f2612fb072f3a3d632eb367597a7225dede524f92284626e46c1938154933b7a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.12996",
    "kind": "arxiv",
    "version": 1
  }
}