Pith Number

pith:AAOYDJPM

pith:2004:AAOYDJPM27XTHAI22QUVHYQBMQ

not attested not anchored not stored refs pending

The uncertainty relation for joint measurement of position and momentum

R.F. Werner

arxiv:quant-ph/0405184 v1 · 2004-05-30 · 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{AAOYDJPM27XTHAI22QUVHYQBMQ}

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.

Cited by

1 paper in Pith

The uncertainty geometry of finite-dimensional position and momentum

Receipt and verification

First computed	2026-05-18T01:05:03.497558Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

001d81a5ecd7ef33811ad42953e201642262b33e6661b60ee209f7a7818b8692

Aliases

arxiv: quant-ph/0405184 · arxiv_version: quant-ph/0405184v1 · doi: 10.48550/arxiv.quant-ph/0405184 · pith_short_12: AAOYDJPM27XT · pith_short_16: AAOYDJPM27XTHAI2 · pith_short_8: AAOYDJPM

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/AAOYDJPM27XTHAI22QUVHYQBMQ \
  | 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: 001d81a5ecd7ef33811ad42953e201642262b33e6661b60ee209f7a7818b8692

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fd5508978623e7386a836ac6633c3e664dcce56447441c8cc23e75a18cfbe4ea",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2004-05-30T17:50:59Z",
    "title_canon_sha256": "b635a011686d79bfc95af86dcadc4916a92f8a07eab0a8e560e14072b9c07ab7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/0405184",
    "kind": "arxiv",
    "version": 1
  }
}