Pith Number

pith:FIJXAXWW

pith:2003:FIJXAXWWGIE2D22DQIVCACEZXJ

not attested not anchored not stored refs pending

Uncertainty Relations for Joint Measurements of Noncommuting Observables

Masanao Ozawa

arxiv:quant-ph/0310070 v1 · 2003-10-11 · 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{FIJXAXWWGIE2D22DQIVCACEZXJ}

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	2026-05-18T01:37:59.054374Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2a13705ed63209a1eb43822a200899ba5e0a7a38cfbc8140c2e02e3dd146bd50

Aliases

arxiv: quant-ph/0310070 · arxiv_version: quant-ph/0310070v1 · doi: 10.48550/arxiv.quant-ph/0310070 · pith_short_12: FIJXAXWWGIE2 · pith_short_16: FIJXAXWWGIE2D22D · pith_short_8: FIJXAXWW

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/FIJXAXWWGIE2D22DQIVCACEZXJ \
  | 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: 2a13705ed63209a1eb43822a200899ba5e0a7a38cfbc8140c2e02e3dd146bd50

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5c275c551ec58c37f3020ece727feedfb3c7d6fc01a6374e85945a759c06db69",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2003-10-11T17:03:23Z",
    "title_canon_sha256": "895a57739629ec2856520d510c5b14e0feb6ecd240b3383f12f3a8161a73d9be"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/0310070",
    "kind": "arxiv",
    "version": 1
  }
}