Pith Number

pith:G3IZRILU

pith:2011:G3IZRILUQWDYE6SUTJCAJMXULE

not attested not anchored not stored refs pending

Bernstein functions and rates in mean ergodic theorems for operator semigroups

Alexander Gomilko, Markus Haase, Yuri Tomilov

arxiv:1112.0286 v1 · 2011-12-01 · math.FA · math.DS · 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{G3IZRILUQWDYE6SUTJCAJMXULE}

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	2026-05-18T04:07:16.385936Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

36d198a1748587827a549a4404b2f45921fd24af4c02ae00332b27df5386555b

Aliases

arxiv: 1112.0286 · arxiv_version: 1112.0286v1 · doi: 10.48550/arxiv.1112.0286 · pith_short_12: G3IZRILUQWDY · pith_short_16: G3IZRILUQWDYE6SU · pith_short_8: G3IZRILU

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/G3IZRILUQWDYE6SUTJCAJMXULE \
  | 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: 36d198a1748587827a549a4404b2f45921fd24af4c02ae00332b27df5386555b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fe305b5460f7613547bb0ae5f32630c9619b149046da94f90697b3364a804c78",
    "cross_cats_sorted": [
      "math.DS",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2011-12-01T20:04:20Z",
    "title_canon_sha256": "b23387d590d63fde23e80276e0a337e0f6616ee813395a6dfb92a8456c265db6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.0286",
    "kind": "arxiv",
    "version": 1
  }
}