Pith Number

pith:PKF4MHER

pith:2016:PKF4MHERCFYBD7J57GUMO2MDPC

not attested not anchored not stored refs pending

Uncertainty relations: An operational approach to the error-disturbance tradeoff

Joseph M. Renes, Stefan Huber, Volkher B. Scholz

arxiv:1612.02051 v3 · 2016-12-06 · 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{PKF4MHERCFYBD7J57GUMO2MDPC}

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	2026-05-18T00:39:39.489547Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7a8bc61c91117011fd3df9a8c7698378885515c6dc495b32e7d6e6fe77d2cceb

Aliases

arxiv: 1612.02051 · arxiv_version: 1612.02051v3 · doi: 10.48550/arxiv.1612.02051 · pith_short_12: PKF4MHERCFYB · pith_short_16: PKF4MHERCFYBD7J5 · pith_short_8: PKF4MHER

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/PKF4MHERCFYBD7J57GUMO2MDPC \
  | 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: 7a8bc61c91117011fd3df9a8c7698378885515c6dc495b32e7d6e6fe77d2cceb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b0d3b400eec7d867ea20202f747c6adfe04961ce42c1e95c4d7f8d908dc02d5c",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2016-12-06T22:07:08Z",
    "title_canon_sha256": "7aa413a436b3cdddeb26d09d008ef7de1b89446549c9d542c3894fe460718321"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.02051",
    "kind": "arxiv",
    "version": 3
  }
}