Pith Number

pith:PW7LQKN4

pith:2015:PW7LQKN4ISVABJYWOPZ33CO67P

not attested not anchored not stored refs pending

Geometric discord: A resource for increments of quantum key distribution through twirling

Tao Zhou, Xiaohua Wu

arxiv:1501.04902 v1 · 2015-01-20 · 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{PW7LQKN4ISVABJYWOPZ33CO67P}

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	2026-05-18T01:34:45.389500Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7dbeb829bc44aa00a71673f3bd89defbfd2bddc5eab748f5c0416a0fab3b6680

Aliases

arxiv: 1501.04902 · arxiv_version: 1501.04902v1 · doi: 10.48550/arxiv.1501.04902 · pith_short_12: PW7LQKN4ISVA · pith_short_16: PW7LQKN4ISVABJYW · pith_short_8: PW7LQKN4

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/PW7LQKN4ISVABJYWOPZ33CO67P \
  | 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: 7dbeb829bc44aa00a71673f3bd89defbfd2bddc5eab748f5c0416a0fab3b6680

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "039e6f22484e25c8e8a1aef4cc7c880ebbb997eb29aa258c64b0896fb242c311",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2015-01-20T18:16:19Z",
    "title_canon_sha256": "19938d9ded465196dcfd9066fabd1429b322cbbe6d29af175dafca9f39f1fa05"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.04902",
    "kind": "arxiv",
    "version": 1
  }
}