Pith Number

pith:F7PQXCJ5

pith:2007:F7PQXCJ5A7IXLOI7WQZO6RDHS4

not attested not anchored not stored refs pending

Sampling of min-entropy relative to quantum knowledge

Renato Renner, Robert Koenig

arxiv:0712.4291 v1 · 2007-12-28 · 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{F7PQXCJ5A7IXLOI7WQZO6RDHS4}

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

Quantum randomness beyond projective measurements

Receipt and verification

First computed	2026-05-18T03:54:27.892022Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2fdf0b893d07d175b91fb432ef4467972a462f3f8361ffdb41228cdd2bff43a5

Aliases

arxiv: 0712.4291 · arxiv_version: 0712.4291v1 · doi: 10.48550/arxiv.0712.4291 · pith_short_12: F7PQXCJ5A7IX · pith_short_16: F7PQXCJ5A7IXLOI7 · pith_short_8: F7PQXCJ5

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/F7PQXCJ5A7IXLOI7WQZO6RDHS4 \
  | 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: 2fdf0b893d07d175b91fb432ef4467972a462f3f8361ffdb41228cdd2bff43a5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "53d9fe1a5917f53ea0a05d344d17f0871e4a26cb7e609766950d6c33eb1d5f9c",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2007-12-28T17:21:10Z",
    "title_canon_sha256": "3fd6a7fdd9e98e2a413e430207de851bcfc778d2b7a9ac44e1bb6c7431d69dbc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0712.4291",
    "kind": "arxiv",
    "version": 1
  }
}