Pith Number

pith:QZYCDIPJ

pith:2019:QZYCDIPJMMQUZD7NCRIZ6FBOHQ

not attested not anchored not stored refs pending

Operator inequalities I. Models and ergodicity

Dmitry Yakubovich, Glenier Bello-Burguet, Luciano Abadias

arxiv:1908.05032 v3 · 2019-08-14 · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QZYCDIPJMMQUZD7NCRIZ6FBOHQ}

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	2026-07-05T01:15:55.145117Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

867021a1e963214c8fed14519f142e3c0d02f38dd3d4d1baf5442f7658261232

Aliases

arxiv: 1908.05032 · arxiv_version: 1908.05032v3 · doi: 10.48550/arxiv.1908.05032 · pith_short_12: QZYCDIPJMMQU · pith_short_16: QZYCDIPJMMQUZD7N · pith_short_8: QZYCDIPJ

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/QZYCDIPJMMQUZD7NCRIZ6FBOHQ \
  | 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: 867021a1e963214c8fed14519f142e3c0d02f38dd3d4d1baf5442f7658261232

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c633ac5b26ee3970748ff0aaeee9dea93f2e9d5c861b625135ed6c6b59643e80",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2019-08-14T09:22:34Z",
    "title_canon_sha256": "355312daccf913b7bb3373e55cd64abc50cf0ee4dcc261b0746196be40fc77f1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.05032",
    "kind": "arxiv",
    "version": 3
  }
}