Pith Number

pith:V7IFEAUQ

pith:2017:V7IFEAUQYL75RKKNVMUFWNQ7IT

not attested not anchored not stored refs pending

Boundedness of averaging operators on geometrically doubling metric spaces

J.M. Aldaz

arxiv:1710.04233 v2 · 2017-10-11 · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{V7IFEAUQYL75RKKNVMUFWNQ7IT}

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	2026-05-17T23:59:03.683605Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

afd0520290c2ffd8a94dab285b361f44d51afee62773d28d27d9280923414341

Aliases

arxiv: 1710.04233 · arxiv_version: 1710.04233v2 · doi: 10.48550/arxiv.1710.04233 · pith_short_12: V7IFEAUQYL75 · pith_short_16: V7IFEAUQYL75RKKN · pith_short_8: V7IFEAUQ

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/V7IFEAUQYL75RKKNVMUFWNQ7IT \
  | 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: afd0520290c2ffd8a94dab285b361f44d51afee62773d28d27d9280923414341

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bf9535762f474fb3d0c33b1d7d52925c536fc3df8e4a786ae8c8599c89a65335",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2017-10-11T18:02:11Z",
    "title_canon_sha256": "7756bdc7d0f0b816fd4ecaa7e07653d6f4f6cf63f3452e81e0ef172dabd23ccf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.04233",
    "kind": "arxiv",
    "version": 2
  }
}