Pith Number

pith:PESQJQXY

pith:2008:PESQJQXYEAMDPPEKOYMGUBPDRH

not attested not anchored not stored refs pending

Interpolation of Sobolev spaces, Littlewood-Paley inequalities and Riesz transforms on graphs

Emmanuel Russ (LATP), Nadine Badr (LM-Orsay)

arxiv:0802.0922 v1 · 2008-02-07 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PESQJQXYEAMDPPEKOYMGUBPDRH}

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	2026-05-18T04:41:06.083456Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

792504c2f8201837bc8a76186a05e389e42a894ce3878c97b3b969f199949344

Aliases

arxiv: 0802.0922 · arxiv_version: 0802.0922v1 · doi: 10.48550/arxiv.0802.0922 · pith_short_12: PESQJQXYEAMD · pith_short_16: PESQJQXYEAMDPPEK · pith_short_8: PESQJQXY

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/PESQJQXYEAMDPPEKOYMGUBPDRH \
  | 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: 792504c2f8201837bc8a76186a05e389e42a894ce3878c97b3b969f199949344

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9f715342986492b22e7c4c15e147b72298a9391f6da8329bb9b1e939d7e750f7",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.AP",
    "submitted_at": "2008-02-07T08:24:55Z",
    "title_canon_sha256": "a5edcd7c5dbd6f7be9d449b821387c10455cdf08bbd5ad84966add3b43cfe884"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0802.0922",
    "kind": "arxiv",
    "version": 1
  }
}