Pith Number

pith:4AYI6ZP4

pith:2010:4AYI6ZP4YCXKKWUZWA6VAWF7Z5

not attested not anchored not stored refs pending

A Bounded Linear Extension Operator for $L^{2,p}(\R^2)$

Arie Israel

arxiv:1011.0689 v2 · 2010-11-02 · 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{4AYI6ZP4YCXKKWUZWA6VAWF7Z5}

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	2026-05-18T04:36:58.896650Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e0308f65fcc0aea55a99b03d5058bfcf4ca847d22e9bdde165a3868fe2fa7d4e

Aliases

arxiv: 1011.0689 · arxiv_version: 1011.0689v2 · doi: 10.48550/arxiv.1011.0689 · pith_short_12: 4AYI6ZP4YCXK · pith_short_16: 4AYI6ZP4YCXKKWUZ · pith_short_8: 4AYI6ZP4

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/4AYI6ZP4YCXKKWUZWA6VAWF7Z5 \
  | 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: e0308f65fcc0aea55a99b03d5058bfcf4ca847d22e9bdde165a3868fe2fa7d4e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bd7e74be8e4dcb46517f87f111de341ccc53115d5b4d5e37a1dd427607115378",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2010-11-02T18:02:52Z",
    "title_canon_sha256": "8bf90bace537ff8ca73faeec38f252408328399befdefaaff9f7088d258a3ab2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.0689",
    "kind": "arxiv",
    "version": 2
  }
}