Pith Number

pith:Y74ZIHOA

pith:2016:Y74ZIHOAC6GNJA7APYG4UAYQ4S

not attested not anchored not stored refs pending

Quantum coherence quantifiers based on the R\'{e}nyi $\alpha$-relative entropy

Lian-He Shao, Yongming Li, Yu Luo, Zhengjun Xi

arxiv:1609.08759 v2 · 2016-09-28 · 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{Y74ZIHOAC6GNJA7APYG4UAYQ4S}

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	2026-05-18T00:39:01.969525Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c7f9941dc0178cd483e07e0dca0310e49da2384740b22835c02cab0436092489

Aliases

arxiv: 1609.08759 · arxiv_version: 1609.08759v2 · doi: 10.48550/arxiv.1609.08759 · pith_short_12: Y74ZIHOAC6GN · pith_short_16: Y74ZIHOAC6GNJA7A · pith_short_8: Y74ZIHOA

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/Y74ZIHOAC6GNJA7APYG4UAYQ4S \
  | 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: c7f9941dc0178cd483e07e0dca0310e49da2384740b22835c02cab0436092489

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c978bcb301248cf1f6ff9258a4837cf28f27d0ec5deaa11142cb13538c13b86b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2016-09-28T03:42:42Z",
    "title_canon_sha256": "e44cf1e2897b7b295ceef626470d625a791f60259d83aa43d8a091d6ac98bdc3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.08759",
    "kind": "arxiv",
    "version": 2
  }
}