Pith Number

pith:KCLYTEVP

pith:2014:KCLYTEVPHFFB4EFG3H4ZDPMEQG

not attested not anchored not stored refs pending

Asymptotic entropic uncertainty relations

Karol \.Zyczkowski, Rados{\l}aw Adamczak, Rafa{\l} Lata{\l}a, Zbigniew Pucha{\l}a

arxiv:1412.7065 v2 · 2014-12-22 · quant-ph · cs.IT · math-ph · math.IT · math.MP · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KCLYTEVPHFFB4EFG3H4ZDPMEQG}

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	2026-05-18T01:09:37.052184Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

50978992af394a1e10a6d9f991bd8481ac078dfccc33c4a032bdfbaa7c05fc5c

Aliases

arxiv: 1412.7065 · arxiv_version: 1412.7065v2 · doi: 10.48550/arxiv.1412.7065 · pith_short_12: KCLYTEVPHFFB · pith_short_16: KCLYTEVPHFFB4EFG · pith_short_8: KCLYTEVP

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/KCLYTEVPHFFB4EFG3H4ZDPMEQG \
  | 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: 50978992af394a1e10a6d9f991bd8481ac078dfccc33c4a032bdfbaa7c05fc5c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4cbf8aeb75dc081b231965aa0f74a01090f52d1ba95fdd9aae88b9579249d986",
    "cross_cats_sorted": [
      "cs.IT",
      "math-ph",
      "math.IT",
      "math.MP",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2014-12-22T17:25:56Z",
    "title_canon_sha256": "b9fd7cf1b35795c7f4e7803639af88b1100fa7314354eaad04abe656b2eaf2fc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.7065",
    "kind": "arxiv",
    "version": 2
  }
}