Pith Number

pith:XFJCN2HI

pith:2014:XFJCN2HIN4DMO7NDFD6QOHN4LV

not attested not anchored not stored refs pending

Quantum-proof randomness extractors via operator space theory

Mario Berta, Omar Fawzi, Volkher B. Scholz

arxiv:1409.3563 v3 · 2014-09-11 · quant-ph · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XFJCN2HIN4DMO7NDFD6QOHN4LV}

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	2026-05-18T00:45:04.337894Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b95226e8e86f06c77da328fd071dbc5d68282d655ba22954a3cde7b750866283

Aliases

arxiv: 1409.3563 · arxiv_version: 1409.3563v3 · doi: 10.48550/arxiv.1409.3563 · pith_short_12: XFJCN2HIN4DM · pith_short_16: XFJCN2HIN4DMO7ND · pith_short_8: XFJCN2HI

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/XFJCN2HIN4DMO7NDFD6QOHN4LV \
  | 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: b95226e8e86f06c77da328fd071dbc5d68282d655ba22954a3cde7b750866283

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5db67494f9c313a451080a11c9e56364eb7c369e9ee376caa04f391bd5f0a3c6",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2014-09-11T19:59:23Z",
    "title_canon_sha256": "86c10cb570b76ed7d2899bb592fad8db824aa205425656f19859f938481f2194"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.3563",
    "kind": "arxiv",
    "version": 3
  }
}