Pith Number

pith:6CKT34IU

pith:2006:6CKT34IUVCZH35IFQKRFFIRL6Y

not attested not anchored not stored refs pending

Weighted norm inequalities, off-diagonal estimates and elliptic operators. Part III: Harmonic analysis of elliptic operators

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

arxiv:math/0603642 v1 · 2006-03-28 · math.CA · 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{6CKT34IUVCZH35IFQKRFFIRL6Y}

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	2026-05-18T00:03:42.131092Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f0953df114a8b27df50582a252a22bf60b7d94fb5f18530f5946be4a64db056b

Aliases

arxiv: math/0603642 · arxiv_version: math/0603642v1 · doi: 10.48550/arxiv.math/0603642 · pith_short_12: 6CKT34IUVCZH · pith_short_16: 6CKT34IUVCZH35IF · pith_short_8: 6CKT34IU

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/6CKT34IUVCZH35IFQKRFFIRL6Y \
  | 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: f0953df114a8b27df50582a252a22bf60b7d94fb5f18530f5946be4a64db056b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5e5a90fac5e275f09f8570b2c6e01f8b0e0818eab6fad03031dfc0feb6c70e50",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "",
    "primary_cat": "math.CA",
    "submitted_at": "2006-03-28T08:06:16Z",
    "title_canon_sha256": "ade80cc22a8afa1cbc3a244fd7986acb06522ce1c39f55459d3f02111151f737"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0603642",
    "kind": "arxiv",
    "version": 1
  }
}