Pith Number

pith:YS4GREGD

pith:2016:YS4GREGDLUTMYNAYBSMYXILNUR

not attested not anchored not stored refs pending

Measurement uncertainty relations for discrete observables: Relative entropy formulation

Alberto Barchielli, Alessandro Toigo, Matteo Gregoratti

arxiv:1608.01986 v3 · 2016-08-05 · math-ph · math.MP · 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{YS4GREGDLUTMYNAYBSMYXILNUR}

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	2026-05-18T00:22:16.418558Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c4b86890c35d26cc34180c998ba16da471ffd9d572b213e49e7b135756f24491

Aliases

arxiv: 1608.01986 · arxiv_version: 1608.01986v3 · doi: 10.48550/arxiv.1608.01986 · pith_short_12: YS4GREGDLUTM · pith_short_16: YS4GREGDLUTMYNAY · pith_short_8: YS4GREGD

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/YS4GREGDLUTMYNAYBSMYXILNUR \
  | 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: c4b86890c35d26cc34180c998ba16da471ffd9d572b213e49e7b135756f24491

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b8bc3376619398369be306e0a0675564d5e13ff8692e4c4974a6a2d1518f5a88",
    "cross_cats_sorted": [
      "math.MP",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2016-08-05T19:52:17Z",
    "title_canon_sha256": "82dfdfa0038f2056ee7c72a6a2bccc68b7a7bfb71015d5ce3ef1e37d9fb18e2e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.01986",
    "kind": "arxiv",
    "version": 3
  }
}