Pith Number

pith:ZKIU5C4M

pith:2013:ZKIU5C4M7SJNQUDW3K5ZGFZD7N

not attested not anchored not stored refs pending

Quantum Fisher information for density matrices with arbitrary ranks

Jing Liu, Wei Zhong, Xiaoguang Wang, Xiao-Xing Jing

arxiv:1312.6910 v1 · 2013-12-25 · 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{ZKIU5C4M7SJNQUDW3K5ZGFZD7N}

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	2026-05-18T03:00:38.975906Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ca914e8b8cfc92d85076dabb931723fb5d7232d3caf55815895b83c86621cd5d

Aliases

arxiv: 1312.6910 · arxiv_version: 1312.6910v1 · doi: 10.48550/arxiv.1312.6910 · pith_short_12: ZKIU5C4M7SJN · pith_short_16: ZKIU5C4M7SJNQUDW · pith_short_8: ZKIU5C4M

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/ZKIU5C4M7SJNQUDW3K5ZGFZD7N \
  | 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: ca914e8b8cfc92d85076dabb931723fb5d7232d3caf55815895b83c86621cd5d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f1b1e362623176260da39f89a7ae0c9f77c706778e4795611193735e94c59dbf",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/3.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2013-12-25T02:50:42Z",
    "title_canon_sha256": "4648cc53dfe7ac1ae95462772bd7f5d6a42c27e8b920cd3809fe8e7a73804190"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.6910",
    "kind": "arxiv",
    "version": 1
  }
}