Pith Number

pith:5XNUQNJ3

pith:2012:5XNUQNJ3NS24CA33CZGZXEKE4F

not attested not anchored not stored refs pending

Continuity of weighted estimates for sublinear operators

Michael Papadimitrakis, Nikolaos Pattakos

arxiv:1206.4580 v1 · 2012-06-20 · 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{5XNUQNJ3NS24CA33CZGZXEKE4F}

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	2026-05-17T23:40:56.451824Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eddb48353b6cb5c1037b164d9b9144e16e8c058d8cc3c45bd5293a0a54b14ee5

Aliases

arxiv: 1206.4580 · arxiv_version: 1206.4580v1 · doi: 10.48550/arxiv.1206.4580 · pith_short_12: 5XNUQNJ3NS24 · pith_short_16: 5XNUQNJ3NS24CA33 · pith_short_8: 5XNUQNJ3

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/5XNUQNJ3NS24CA33CZGZXEKE4F \
  | 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: eddb48353b6cb5c1037b164d9b9144e16e8c058d8cc3c45bd5293a0a54b14ee5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "409ddc8abde1a452837d738151ebe259a049a67d45c316e1dbc3602391bdfd5f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2012-06-20T18:59:30Z",
    "title_canon_sha256": "05ee66ead49b18e535b66c2908679c641654f0170910f1ca4465d33788284717"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.4580",
    "kind": "arxiv",
    "version": 1
  }
}