Pith Number

pith:42BDENXZ

pith:2014:42BDENXZFYEGZBAEPRQ5IOTGZV

not attested not anchored not stored refs pending

Elementary proofs of Embedding Theorems for Potential Spaces of Radial Functions

Irene Drelichman, Pablo L. De Napoli

arxiv:1404.7468 v1 · 2014-04-29 · math.CA · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{42BDENXZFYEGZBAEPRQ5IOTGZV}

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	2026-05-18T02:52:56.535031Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e6823236f92e086c84047c61d43a66cd464fc12df26429f4662462d293abedb8

Aliases

arxiv: 1404.7468 · arxiv_version: 1404.7468v1 · doi: 10.48550/arxiv.1404.7468 · pith_short_12: 42BDENXZFYEG · pith_short_16: 42BDENXZFYEGZBAE · pith_short_8: 42BDENXZ

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/42BDENXZFYEGZBAEPRQ5IOTGZV \
  | 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: e6823236f92e086c84047c61d43a66cd464fc12df26429f4662462d293abedb8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b318a6d29b7b347f27c87c657df662cb404870bcc8b7ecb433901e5612cebe73",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2014-04-29T19:22:38Z",
    "title_canon_sha256": "a06c19b003b0f1ed536006eb7b20332e3d213b03f9a26349c06a0948fdf302d8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1404.7468",
    "kind": "arxiv",
    "version": 1
  }
}