Pith Number

pith:M3JT25NB

pith:2010:M3JT25NBBJM2JMJVDZOZPCHSUW

not attested not anchored not stored refs pending

The Uncertainty Relation for Smooth Entropies

Marco Tomamichel, Renato Renner

arxiv:1009.2015 v3 · 2010-09-10 · 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{M3JT25NBBJM2JMJVDZOZPCHSUW}

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

Generalized measurement incompatibility

Receipt and verification

First computed	2026-05-18T03:43:05.441206Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

66d33d75a10a59a4b1351e5d9788f2a59ddef0c09d65f5ebe2945296bad55d8b

Aliases

arxiv: 1009.2015 · arxiv_version: 1009.2015v3 · doi: 10.48550/arxiv.1009.2015 · pith_short_12: M3JT25NBBJM2 · pith_short_16: M3JT25NBBJM2JMJV · pith_short_8: M3JT25NB

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/M3JT25NBBJM2JMJVDZOZPCHSUW \
  | 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: 66d33d75a10a59a4b1351e5d9788f2a59ddef0c09d65f5ebe2945296bad55d8b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bf0b095bdc6c3252a08d6583dfb1ba6fa3d709d52cf345abb1407c6154a512b0",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2010-09-10T13:45:28Z",
    "title_canon_sha256": "4c40200d3d09bfb85d289cb76122a31624042d6dfe4c665206e49dc80de78d8d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.2015",
    "kind": "arxiv",
    "version": 3
  }
}