Pith Number

pith:GTOMO5VU

pith:2017:GTOMO5VUHJ4II7W5PLUNHRDAO4

not attested not anchored not stored refs pending

Growth orders and ergodicity for absolutely Ces\`aro bounded operators

Antonio Bonilla, Luciano Abadias

arxiv:1710.02981 v1 · 2017-10-09 · 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{GTOMO5VUHJ4II7W5PLUNHRDAO4}

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	2026-05-18T00:33:28.295472Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

34dcc776b43a78847edd7ae8d3c4607720f6fb5f701a9505eaa6e4236fbe3790

Aliases

arxiv: 1710.02981 · arxiv_version: 1710.02981v1 · doi: 10.48550/arxiv.1710.02981 · pith_short_12: GTOMO5VUHJ4I · pith_short_16: GTOMO5VUHJ4II7W5 · pith_short_8: GTOMO5VU

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/GTOMO5VUHJ4II7W5PLUNHRDAO4 \
  | 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: 34dcc776b43a78847edd7ae8d3c4607720f6fb5f701a9505eaa6e4236fbe3790

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7b588dc04cab7d8b79bd67d01f8610995c78494bc97107e112a526ed7f92d9e9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2017-10-09T08:09:56Z",
    "title_canon_sha256": "2be7de713da8cfc7916c4bec4916badee6a0e271efa5e73c0a2404c37616e873"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.02981",
    "kind": "arxiv",
    "version": 1
  }
}