Pith Number

pith:33KO5EDN

pith:2013:33KO5EDNMG366EI3E77IFPNJLS

not attested not anchored not stored refs pending

Contradictory entropic joint uncertainty relations for complementary observables in two-level systems

Alfredo Luis

arxiv:1306.5211 v1 · 2013-06-21 · 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{33KO5EDNMG366EI3E77IFPNJLS}

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	2026-05-18T03:20:19.399706Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ded4ee906d61b7ef111b27fe82bda95c96edc74dcb5c1d13972d98cea13425bb

Aliases

arxiv: 1306.5211 · arxiv_version: 1306.5211v1 · doi: 10.48550/arxiv.1306.5211 · pith_short_12: 33KO5EDNMG36 · pith_short_16: 33KO5EDNMG366EI3 · pith_short_8: 33KO5EDN

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/33KO5EDNMG366EI3E77IFPNJLS \
  | 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: ded4ee906d61b7ef111b27fe82bda95c96edc74dcb5c1d13972d98cea13425bb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7fe412cea19453a382dc8edc157457a782b9cce3b5bba809b6e78497d6ec98e1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2013-06-21T18:44:11Z",
    "title_canon_sha256": "43041c4669bab461746cb6120136c1f375823d5f85c79cf06ef0edd7178873a7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.5211",
    "kind": "arxiv",
    "version": 1
  }
}