Pith Number

pith:XNRGBTWG

pith:2009:XNRGBTWG5AXFRKT5SBLK2QVCH4

not attested not anchored not stored refs pending

A dynamical point of view of Quantum Information: entropy, pressure and Wigner measures

A. Baraviera, A. O. Lopes, C. F. Lardizabal, M. Terra Cunha

arxiv:0911.0193 v3 · 2009-11-01 · math.DS · math-ph · math.MP · 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{XNRGBTWG5AXFRKT5SBLK2QVCH4}

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	2026-05-18T04:24:07.305282Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bb6260cec6e82e58aa7d9056ad42a23f32f556cf38fa14b44963e432fdf397d8

Aliases

arxiv: 0911.0193 · arxiv_version: 0911.0193v3 · doi: 10.48550/arxiv.0911.0193 · pith_short_12: XNRGBTWG5AXF · pith_short_16: XNRGBTWG5AXFRKT5 · pith_short_8: XNRGBTWG

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/XNRGBTWG5AXFRKT5SBLK2QVCH4 \
  | 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: bb6260cec6e82e58aa7d9056ad42a23f32f556cf38fa14b44963e432fdf397d8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "44cfcba19da9ed9494e1de8df5ba1e8b2371fa4c575ed3bff30ab309c12036f6",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2009-11-01T19:00:19Z",
    "title_canon_sha256": "aa96930d15224dc42d06e567b0ee4dc640129529419a0ed619f040e6d52f14a6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0911.0193",
    "kind": "arxiv",
    "version": 3
  }
}