Pith Number

pith:VYVM437C

pith:2006:VYVM437CARUBWIPZWGI2EJCJHM

not attested not anchored not stored refs pending

Weighted norm inequalities, off-diagonal estimates and elliptic operators. Part II: Off-diagonal estimates on spaces of homogeneous type

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

arxiv:math/0603641 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{VYVM437CARUBWIPZWGI2EJCJHM}

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	2026-05-18T00:03:42.138002Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ae2ace6fe204681b21f9b191a224493b39ce8aec7c16926c24f798678d6addd4

Aliases

arxiv: math/0603641 · arxiv_version: math/0603641v1 · doi: 10.48550/arxiv.math/0603641 · pith_short_12: VYVM437CARUB · pith_short_16: VYVM437CARUBWIPZ · pith_short_8: VYVM437C

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/VYVM437CARUBWIPZWGI2EJCJHM \
  | 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: ae2ace6fe204681b21f9b191a224493b39ce8aec7c16926c24f798678d6addd4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "38d1abd32ac21dcc1ae889fb2043d3f0f974409bae7a7c14e077f32385a091dc",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "",
    "primary_cat": "math.CA",
    "submitted_at": "2006-03-28T08:02:30Z",
    "title_canon_sha256": "c17451f5c13117555117337ecb437ebff016a6e95a47c2fd4b5fcae9cba3aa4e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0603641",
    "kind": "arxiv",
    "version": 1
  }
}