Pith Number

pith:XP7UKXFW

pith:2014:XP7UKXFWAYVBA252XPJSUHCN7Q

not attested not anchored not stored refs pending

Pointwise estimates to the modified Riesz potential

Petteri Harjulehto, Ritva Hurri-Syrj\"anen

arxiv:1406.3158 v1 · 2014-06-12 · math.CA · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XP7UKXFWAYVBA252XPJSUHCN7Q}

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	2026-05-18T02:49:52.891528Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bbff455cb6062a106bbabbd32a1c4dfc379d17dff116482393bf57e6e43524d6

Aliases

arxiv: 1406.3158 · arxiv_version: 1406.3158v1 · doi: 10.48550/arxiv.1406.3158 · pith_short_12: XP7UKXFWAYVB · pith_short_16: XP7UKXFWAYVBA252 · pith_short_8: XP7UKXFW

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/XP7UKXFWAYVBA252XPJSUHCN7Q \
  | 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: bbff455cb6062a106bbabbd32a1c4dfc379d17dff116482393bf57e6e43524d6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "12590ae91709f91b5550b8d1710b023d926d45b6be69a803690d707227709eb5",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2014-06-12T09:10:43Z",
    "title_canon_sha256": "ef811cf917b904f2eaa5d9cb62089617155989485f70afb79ce0c8e8b935d09f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1406.3158",
    "kind": "arxiv",
    "version": 1
  }
}