Pith Number

pith:VKDQ22KG

pith:2010:VKDQ22KG2MRPIM7AAF2TD4C4IT

not attested not anchored not stored refs pending

On the Use of Minimum Volume Ellipsoids and Symplectic Capacities for Studying Classical Uncertainties for Joint Position-Momentum Measurements

Maurice de Gosson

arxiv:1008.4877 v1 · 2010-08-28 · math-ph · math.MP · math.ST · quant-ph · stat.TH

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VKDQ22KG2MRPIM7AAF2TD4C4IT}

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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	2026-05-18T02:05:41.757646Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aa870d6946d322f433e0017531f05c44d3a71e7715fa02054db92dc8b564e370

Aliases

arxiv: 1008.4877 · arxiv_version: 1008.4877v1 · doi: 10.48550/arxiv.1008.4877 · pith_short_12: VKDQ22KG2MRP · pith_short_16: VKDQ22KG2MRPIM7A · pith_short_8: VKDQ22KG

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/VKDQ22KG2MRPIM7AAF2TD4C4IT \
  | 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: aa870d6946d322f433e0017531f05c44d3a71e7715fa02054db92dc8b564e370

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ff47d864c33241d9f701f9f57f96e23ba4e1de9bde0302250b4497d74550c651",
    "cross_cats_sorted": [
      "math.MP",
      "math.ST",
      "quant-ph",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2010-08-28T16:54:00Z",
    "title_canon_sha256": "848baa308276ce0c8bde2729ce0aeaaeadd7eef151396c63fbef1bdb810d3843"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1008.4877",
    "kind": "arxiv",
    "version": 1
  }
}