Pith Number

pith:FYOUTFIL

pith:2012:FYOUTFILG7L2EGG7YDPKW2PPSF

not attested not anchored not stored refs pending

Riesz type potential operators in generalized grand Morrey spaces

Alexander Meskhi, Humberto Rafeiro, Vakhtang Kokilashvili

arxiv:1204.2208 v1 · 2012-04-10 · 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{FYOUTFILG7L2EGG7YDPKW2PPSF}

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	2026-05-18T03:58:13.021441Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2e1d49950b37d7a218dfc0deab69ef91618abc290fd70cf1fa472a36e9278bed

Aliases

arxiv: 1204.2208 · arxiv_version: 1204.2208v1 · doi: 10.48550/arxiv.1204.2208 · pith_short_12: FYOUTFILG7L2 · pith_short_16: FYOUTFILG7L2EGG7 · pith_short_8: FYOUTFIL

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/FYOUTFILG7L2EGG7YDPKW2PPSF \
  | 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: 2e1d49950b37d7a218dfc0deab69ef91618abc290fd70cf1fa472a36e9278bed

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3b3da407d39be3cff90a8dc145dd5e281a545b38693ca30304bba84258d7f78c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2012-04-10T16:17:41Z",
    "title_canon_sha256": "077061e1f777d4433f383ff2af2568483ae5a514d69e55afe3e463ad14b5da6e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.2208",
    "kind": "arxiv",
    "version": 1
  }
}