Pith Number

pith:XROJXDKM

pith:2014:XROJXDKMCAMZLFEL5PV57HCSLT

not attested not anchored not stored refs pending

An $L^1$-type estimate for Riesz potentials

Armin Schikorra, Daniel Spector, Jean Van Schaftingen

arxiv:1411.2318 v4 · 2014-11-10 · math.FA · 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{XROJXDKMCAMZLFEL5PV57HCSLT}

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	2026-05-18T00:41:08.517474Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bc5c9b8d4c101995948bebebdf9c525cdac7fd1830e1597642d11c7cdc9ed43b

Aliases

arxiv: 1411.2318 · arxiv_version: 1411.2318v4 · doi: 10.48550/arxiv.1411.2318 · pith_short_12: XROJXDKMCAMZ · pith_short_16: XROJXDKMCAMZLFEL · pith_short_8: XROJXDKM

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/XROJXDKMCAMZLFEL5PV57HCSLT \
  | 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: bc5c9b8d4c101995948bebebdf9c525cdac7fd1830e1597642d11c7cdc9ed43b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fb085b78964e16fad849a99e80739f6591e9edc5a2c8210add008da13c238d35",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2014-11-10T04:28:56Z",
    "title_canon_sha256": "6669b24b624cd40a0a128bd585911ee6c9a4aedd8261f45449f169169ebca093"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1411.2318",
    "kind": "arxiv",
    "version": 4
  }
}