Pith Number

pith:LY2P7CIV

pith:2022:LY2P7CIVLFRNGPQS5PHK4H7OA6

not attested not anchored not stored refs pending

Optimal Second-Order Rates for Quantum Soft Covering and Privacy Amplification

Hao-Chung Cheng, Li Gao, Yu-Chen Shen

arxiv:2202.11590 v1 · 2022-02-23 · quant-ph · cs.CR · cs.IT · math.IT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LY2P7CIVLFRNGPQS5PHK4H7OA6}

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.

Cited by

1 paper in Pith

Strong converse Exponents of Partially Smoothed Information Measures

Receipt and verification

First computed	2026-07-05T03:59:34.847148Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5e34ff89155962d33e12ebceae1fee078dad1bc7543b11a527812bcea8d86042

Aliases

arxiv: 2202.11590 · arxiv_version: 2202.11590v1 · doi: 10.48550/arxiv.2202.11590 · pith_short_12: LY2P7CIVLFRN · pith_short_16: LY2P7CIVLFRNGPQS · pith_short_8: LY2P7CIV

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/LY2P7CIVLFRNGPQS5PHK4H7OA6 \
  | 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: 5e34ff89155962d33e12ebceae1fee078dad1bc7543b11a527812bcea8d86042

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "abdf8603108a25e3293d494e1b00348c419c44533238e07e6d22fba11696a1d8",
    "cross_cats_sorted": [
      "cs.CR",
      "cs.IT",
      "math.IT"
    ],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2022-02-23T16:02:31Z",
    "title_canon_sha256": "6d94ada5a3de5fc44dd4cda8e9fe1e5782a7db98bf17e77687feb5e682e6350c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2202.11590",
    "kind": "arxiv",
    "version": 1
  }
}