Pith Number

pith:YAWZ6JCY

pith:2025:YAWZ6JCYVMEBC7FFRYDXM3WKOV

not attested not anchored not stored refs pending

Detecting $k$-nonstretchability via a class of informationally complete symmetric measurements

Huaqi Zhou, Limei Zhang, Limin Gao, Mengjia Zhang, Yan Hong

arxiv:2508.12817 v2 · 2025-08-18 · 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{YAWZ6JCYVMEBC7FFRYDXM3WKOV}

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	2026-07-05T12:07:10.525150Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c02d9f2458ab08117ca58e07766eca756142da6f9b38949ad0d883738b135e94

Aliases

arxiv: 2508.12817 · arxiv_version: 2508.12817v2 · doi: 10.48550/arxiv.2508.12817 · pith_short_12: YAWZ6JCYVMEB · pith_short_16: YAWZ6JCYVMEBC7FF · pith_short_8: YAWZ6JCY

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/YAWZ6JCYVMEBC7FFRYDXM3WKOV \
  | 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: c02d9f2458ab08117ca58e07766eca756142da6f9b38949ad0d883738b135e94

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b7a17fa7029179530448fcab7b2990b46078563a9b707884f86db522ef15eeeb",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2025-08-18T10:54:10Z",
    "title_canon_sha256": "51aa4e8c61b5c232f2e19055c356b6568eafe3ec1861a4afda354e7608c77f9f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2508.12817",
    "kind": "arxiv",
    "version": 2
  }
}