Pith Number

pith:ZIFRRZLG

pith:2011:ZIFRRZLG55FZHWDS3YKP3B3UKH

not attested not anchored not stored refs pending

A dynamical point of view of Quantum Information: entropy and pressure

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

arxiv:1104.2868 v1 · 2011-04-14 · quant-ph · math-ph · math.DS · math.MP · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZIFRRZLG55FZHWDS3YKP3B3UKH}

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	2026-05-18T04:15:03.939009Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ca0b18e566ef4b93d872de14fd877451fc4c0cd569a3527fe3aab0130275478b

Aliases

arxiv: 1104.2868 · arxiv_version: 1104.2868v1 · doi: 10.48550/arxiv.1104.2868 · pith_short_12: ZIFRRZLG55FZ · pith_short_16: ZIFRRZLG55FZHWDS · pith_short_8: ZIFRRZLG

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/ZIFRRZLG55FZHWDS3YKP3B3UKH \
  | 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: ca0b18e566ef4b93d872de14fd877451fc4c0cd569a3527fe3aab0130275478b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "17f6a967647f03e4729ec0371f85a378f2cc5e4a6ab1d047caaff44f83647b2e",
    "cross_cats_sorted": [
      "math-ph",
      "math.DS",
      "math.MP",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2011-04-14T18:50:57Z",
    "title_canon_sha256": "4e13a453b3dc236edf294fe8dd2ed4695524bf6740225d4b4669da8122870c15"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.2868",
    "kind": "arxiv",
    "version": 1
  }
}