Pith Number

pith:QYFZ3PBO

pith:2013:QYFZ3PBOMD3JJGX3BEKYQPHAOB

not attested not anchored not stored refs pending

Robust Device-Independent Randomness Amplification with Few Devices

Andrzej Grudka, Fernando G.S.L. Brandao, Hanna Wojewodka, Karol Horodecki, Michal Horodecki, Pawel Horodecki, Ravishankar Ramanathan, Tomasz Szarek

arxiv:1310.4544 v2 · 2013-10-16 · 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{QYFZ3PBOMD3JJGX3BEKYQPHAOB}

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	2026-05-18T01:16:21.934391Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

860b9dbc2e60f6949afb0915883ce0706e551f9ca653ab8427f040b0c266d9cf

Aliases

arxiv: 1310.4544 · arxiv_version: 1310.4544v2 · doi: 10.48550/arxiv.1310.4544 · pith_short_12: QYFZ3PBOMD3J · pith_short_16: QYFZ3PBOMD3JJGX3 · pith_short_8: QYFZ3PBO

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/QYFZ3PBOMD3JJGX3BEKYQPHAOB \
  | 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: 860b9dbc2e60f6949afb0915883ce0706e551f9ca653ab8427f040b0c266d9cf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5d65bc17bd305956ff6816c8d0912db9e63cc341c78214619ce63c26558a1423",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2013-10-16T23:16:32Z",
    "title_canon_sha256": "c9fe8acf1fc58970c4f88c5d5bbbd951ddd56f3557f521acbd669282e982ae8f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.4544",
    "kind": "arxiv",
    "version": 2
  }
}