Pith Number

pith:MGMPXKN2

pith:2007:MGMPXKN2A7IABHIYDZQLDAMEZU

not attested not anchored not stored refs pending

Uncertainty Relations for Positive Operator Valued Measures

Serge Massar

arxiv:quant-ph/0703036 v2 · 2007-03-05 · 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{MGMPXKN2A7IABHIYDZQLDAMEZU}

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	2026-05-18T04:20:50.172302Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6198fba9ba07d0009d181e60b18184cd139dbda2bb37d129de79fa186fab1613

Aliases

arxiv: quant-ph/0703036 · arxiv_version: quant-ph/0703036v2 · doi: 10.48550/arxiv.quant-ph/0703036 · pith_short_12: MGMPXKN2A7IA · pith_short_16: MGMPXKN2A7IABHIY · pith_short_8: MGMPXKN2

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/MGMPXKN2A7IABHIYDZQLDAMEZU \
  | 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: 6198fba9ba07d0009d181e60b18184cd139dbda2bb37d129de79fa186fab1613

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e86e93f5c0c786305e874797ecfb920422f9a2d43e872a8682f4273ea98d2bc6",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2007-03-05T10:45:36Z",
    "title_canon_sha256": "77e226c51bc8b1a85b744f14ce58654a0b6b919110b3a2d4c6d269c17c7f4778"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/0703036",
    "kind": "arxiv",
    "version": 2
  }
}