Pith Number

pith:ML5UEFA7

pith:2025:ML5UEFA73KANJJAVUCLXOCETE4

not attested not anchored not stored refs pending

Explicit Formulas for Estimating Trace of Reduced Density Matrix Powers via Single-Circuit Measurement Probabilities

Jing Wang, Ming Li, Rui-Qi Zhang, Shao-Ming Fei, Shu-Qian Shen, Xiao-Qi Liu

arxiv:2507.17117 v1 · 2025-07-23 · 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{ML5UEFA73KANJJAVUCLXOCETE4}

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	2026-07-05T11:42:01.613234Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

62fb42141fda80d4a415a0977708932714eb1d24620db3becea3b91e6bfb497d

Aliases

arxiv: 2507.17117 · arxiv_version: 2507.17117v1 · doi: 10.48550/arxiv.2507.17117 · pith_short_12: ML5UEFA73KAN · pith_short_16: ML5UEFA73KANJJAV · pith_short_8: ML5UEFA7

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/ML5UEFA73KANJJAVUCLXOCETE4 \
  | 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: 62fb42141fda80d4a415a0977708932714eb1d24620db3becea3b91e6bfb497d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2c5c030d02c8872d478fbba83023bab6bdfd02d52e262f13db2cbf56209c4e52",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2025-07-23T01:41:39Z",
    "title_canon_sha256": "507d01619c0d9b00c625fb6396e8260c6bcf52c4f7f7aab97b9dd9ea72169f7c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.17117",
    "kind": "arxiv",
    "version": 1
  }
}