Pith Number

pith:3KES4UOO

pith:2014:3KES4UOOZ4EEPNTFZ5356YVIFG

not attested not anchored not stored refs pending

Two-weight Norm Estimates for Multilinear Fractional Integrals in Classical Lebesgue Spaces

Alexander Meskhi, Mieczyslaw Mastylo, Vakhtang Kokilashvili

arxiv:1407.8197 v1 · 2014-07-30 · 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{3KES4UOOZ4EEPNTFZ5356YVIFG}

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	2026-05-18T02:46:05.647552Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

da892e51cecf0847b665cf77df62a8299f9af91b14bd37e4211f52baeca214ea

Aliases

arxiv: 1407.8197 · arxiv_version: 1407.8197v1 · doi: 10.48550/arxiv.1407.8197 · pith_short_12: 3KES4UOOZ4EE · pith_short_16: 3KES4UOOZ4EEPNTF · pith_short_8: 3KES4UOO

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/3KES4UOOZ4EEPNTFZ5356YVIFG \
  | 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: da892e51cecf0847b665cf77df62a8299f9af91b14bd37e4211f52baeca214ea

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "274b05e962287c7c2f8df80f493d1634e5e9526e5a29d62e9d0226de4f492dd6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2014-07-30T20:11:20Z",
    "title_canon_sha256": "b218e5c7feabae0d94bea051966f339b40669836f330d9900bfa288f07a84c77"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1407.8197",
    "kind": "arxiv",
    "version": 1
  }
}