Pith Number

pith:3XNLPROK

pith:2019:3XNLPROKAMT4UGFBQARMZ5EHME

not attested not anchored not stored refs pending

Strong unitary uncertainty relations

Bing Yu, Naihuan Jing, Xianqing Li-Jost

arxiv:1908.05053 v1 · 2019-08-14 · 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{3XNLPROKAMT4UGFBQARMZ5EHME}

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	2026-07-04T23:55:59.416621Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dddab7c5ca0327ca18a18022ccf4876116602592068a4ea0eca4d843f4b5e693

Aliases

arxiv: 1908.05053 · arxiv_version: 1908.05053v1 · doi: 10.48550/arxiv.1908.05053 · pith_short_12: 3XNLPROKAMT4 · pith_short_16: 3XNLPROKAMT4UGFB · pith_short_8: 3XNLPROK

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/3XNLPROKAMT4UGFBQARMZ5EHME \
  | 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: dddab7c5ca0327ca18a18022ccf4876116602592068a4ea0eca4d843f4b5e693

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "745da86cfbbc966a7a994c59a4207e0ced2b56d22dab0cb0995aa05d81b90afa",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2019-08-14T10:02:33Z",
    "title_canon_sha256": "6a42c816f673e0ed953d9154e36013ca25c62f5ddf0ac48db734229fdb274004"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.05053",
    "kind": "arxiv",
    "version": 1
  }
}