Pith Number

pith:IIU5OE3K

pith:2006:IIU5OE3KEYY5IS6M4IPT3DBFW3

not attested not anchored not stored refs pending

Weighted norm inequalities, off-diagonal estimates and elliptic operators. Part IV: Riesz transforms on manifolds and weights

Jos\'e Maria Martell (IMFF), Pascal Auscher (LM-Orsay)

arxiv:math/0603643 v2 · 2006-03-28 · math.DG · 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{IIU5OE3KEYY5IS6M4IPT3DBFW3}

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	2026-05-18T00:03:42.122405Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4229d7136a2631d44bcce21f3d8c25b6f6fcc42b06f151dafc478f7442fdf1be

Aliases

arxiv: math/0603643 · arxiv_version: math/0603643v2 · doi: 10.48550/arxiv.math/0603643 · pith_short_12: IIU5OE3KEYY5 · pith_short_16: IIU5OE3KEYY5IS6M · pith_short_8: IIU5OE3K

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/IIU5OE3KEYY5IS6M4IPT3DBFW3 \
  | 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: 4229d7136a2631d44bcce21f3d8c25b6f6fcc42b06f151dafc478f7442fdf1be

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0b4e35b1d86e253301bdb45cd1ea087248d0d835946b7b81dcd8add3ecc88437",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "",
    "primary_cat": "math.DG",
    "submitted_at": "2006-03-28T08:13:22Z",
    "title_canon_sha256": "2c5a841a7fad15aeb7c03fdafda6b4de30165c3bd7b8037c62dcdd0e631b1a15"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0603643",
    "kind": "arxiv",
    "version": 2
  }
}