Pith Number

pith:RNHOAJT7

pith:2021:RNHOAJT7HU5SBB6TYSVQGZBFM3

not attested not anchored not stored refs pending

Device-independent lower bounds on the conditional von Neumann entropy

Hamza Fawzi, Omar Fawzi, Peter Brown

arxiv:2106.13692 v3 · 2021-06-25 · 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{RNHOAJT7HU5SBB6TYSVQGZBFM3}

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

2 papers in Pith

Semidefinite optimization of the quantum relative entropy of channels

Higher rates for semi-device-independent randomness expansion by recycling input randomness

Receipt and verification

First computed	2026-07-05T08:59:48.129766Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8b4ee0267f3d3b2087d3c4ab03642566ddcf4717d6748b6e899f79c5ea81d9a2

Aliases

arxiv: 2106.13692 · arxiv_version: 2106.13692v3 · doi: 10.48550/arxiv.2106.13692 · pith_short_12: RNHOAJT7HU5S · pith_short_16: RNHOAJT7HU5SBB6T · pith_short_8: RNHOAJT7

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/RNHOAJT7HU5SBB6TYSVQGZBFM3 \
  | 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: 8b4ee0267f3d3b2087d3c4ab03642566ddcf4717d6748b6e899f79c5ea81d9a2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4a3fffceae197eb261538f62a5911fafaa7f35801c30cc9cad9a9a4e3a8af3d4",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2021-06-25T15:24:12Z",
    "title_canon_sha256": "e33b6af2187ca6af4ed32b1b310f2c11adc0591cc2ca7ea53652dca98b290720"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2106.13692",
    "kind": "arxiv",
    "version": 3
  }
}