Pith Number

pith:3LVPSCGJ

pith:2013:3LVPSCGJHJS6YDZ5FPCPO75ESR

not attested not anchored not stored refs pending

Smoothing properties of the discrete fractional maximal operator on Besov and Triebel--Lizorkin spaces

Heli Tuominen, Toni Heikkinen

arxiv:1301.4819 v1 · 2013-01-21 · 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{3LVPSCGJHJS6YDZ5FPCPO75ESR}

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	2026-05-18T03:35:55.519286Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

daeaf908c93a65ec0f3d2bc4f77fa4947626f3ea335f9b5980f675fe05fcec46

Aliases

arxiv: 1301.4819 · arxiv_version: 1301.4819v1 · doi: 10.48550/arxiv.1301.4819 · pith_short_12: 3LVPSCGJHJS6 · pith_short_16: 3LVPSCGJHJS6YDZ5 · pith_short_8: 3LVPSCGJ

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/3LVPSCGJHJS6YDZ5FPCPO75ESR \
  | 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: daeaf908c93a65ec0f3d2bc4f77fa4947626f3ea335f9b5980f675fe05fcec46

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e6c738db662d94902eb5a026b8abc8e64208f2981f67be89067b68fb929f2f28",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2013-01-21T11:08:30Z",
    "title_canon_sha256": "ad19fbf7a2fd00afcd3d7f5b75ae9c1e1dbd4c32f840725faa1dc29acef666a0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.4819",
    "kind": "arxiv",
    "version": 1
  }
}