Pith Number

pith:7VHR7G5P

pith:2015:7VHR7G5PRTKQOARGNQAGG7ERJW

not attested not anchored not stored refs pending

Optimality of entropic uncertainty relations

Berthold-Georg Englert, Fabian Furrer, Hans Maassen, J\"org Duhme, Kais Abdelkhalek, Philippe Raynal, Reinhard F. Werner, Ren\'e Schwonnek

arxiv:1509.00398 v1 · 2015-09-01 · 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{7VHR7G5PRTKQOARGNQAGG7ERJW}

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	2026-05-18T01:34:14.168678Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fd4f1f9baf8cd50702266c00637c914d96a852887f7cf116512e1db9d87bc06a

Aliases

arxiv: 1509.00398 · arxiv_version: 1509.00398v1 · doi: 10.48550/arxiv.1509.00398 · pith_short_12: 7VHR7G5PRTKQ · pith_short_16: 7VHR7G5PRTKQOARG · pith_short_8: 7VHR7G5P

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/7VHR7G5PRTKQOARGNQAGG7ERJW \
  | 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: fd4f1f9baf8cd50702266c00637c914d96a852887f7cf116512e1db9d87bc06a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9cc4142141d5242f076ef6a03f820c5ac22e5bf15176a0cd81dd23086c25e50d",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2015-09-01T17:20:39Z",
    "title_canon_sha256": "5e38a83f9ec65adb6486e802d4fdd4a313f07d69b3cfec19b1e2a094aea7fb02"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.00398",
    "kind": "arxiv",
    "version": 1
  }
}