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Pith Number

pith:AQ3T6YVP

pith:2017:AQ3T6YVPGJOVVHZDC6D7WU2TDF
not attested not anchored not stored refs pending

Measurement uncertainty relations for position and momentum: Relative entropy formulation

Alberto Barchielli, Alessandro Toigo, Matteo Gregoratti

arxiv:1705.09949 v1 · 2017-05-28 · quant-ph · cs.IT · math-ph · math.IT · math.MP

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{AQ3T6YVPGJOVVHZDC6D7WU2TDF}

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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 2026-05-18T00:41:44.039125Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

04373f62af325d5a9f231787fb53531951a056cae1eeb5703f10c2a2cd9d3bc8

Aliases

arxiv: 1705.09949 · arxiv_version: 1705.09949v1 · doi: 10.48550/arxiv.1705.09949 · pith_short_12: AQ3T6YVPGJOV · pith_short_16: AQ3T6YVPGJOVVHZD · pith_short_8: AQ3T6YVP
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/AQ3T6YVPGJOVVHZDC6D7WU2TDF \
  | 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: 04373f62af325d5a9f231787fb53531951a056cae1eeb5703f10c2a2cd9d3bc8
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "a44ad96164b26f0abf9f9aec569b57ffdd8ca6e6acfb001d5e0be0f4b9123d08",
    "cross_cats_sorted": [
      "cs.IT",
      "math-ph",
      "math.IT",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2017-05-28T15:08:28Z",
    "title_canon_sha256": "eaac8e27d83973842ab393f281cefe8961a53fa075020cc6ac0172d5f9add8ca"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1705.09949",
    "kind": "arxiv",
    "version": 1
  }
}