Pith Number

pith:CR4BBGZM

pith:2015:CR4BBGZMD5IMXEZA5E3HPI6TYC

not attested not anchored not stored refs pending

Embeddings into Orlicz spaces via the modified Riesz potential

Petteri Harjulehto, Ritva Hurri-Syrj\"anen

arxiv:1508.00362 v1 · 2015-08-03 · math.FA · 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{CR4BBGZMD5IMXEZA5E3HPI6TYC}

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	2026-05-18T01:35:58.291807Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1478109b2c1f50cb9320e93677a3d3c0a06825bec1fe1330b269ee79ee437e21

Aliases

arxiv: 1508.00362 · arxiv_version: 1508.00362v1 · doi: 10.48550/arxiv.1508.00362 · pith_short_12: CR4BBGZMD5IM · pith_short_16: CR4BBGZMD5IMXEZA · pith_short_8: CR4BBGZM

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/CR4BBGZMD5IMXEZA5E3HPI6TYC \
  | 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: 1478109b2c1f50cb9320e93677a3d3c0a06825bec1fe1330b269ee79ee437e21

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5e906f56d28ec9e4e1bd85a79092848b9360e3f0e4e48a1ba85271aecfecd499",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2015-08-03T09:59:19Z",
    "title_canon_sha256": "5344c050073e7f6e5b422b0310c1c72c6675b8df4dd90f67d1bf9f585417f7ca"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.00362",
    "kind": "arxiv",
    "version": 1
  }
}