Pith Number

pith:Q4WYQKES

pith:2011:Q4WYQKESNK66YVCY7HTB6KPY5H

not attested not anchored not stored refs pending

Singular integral operators on tent spaces

Christoph Kriegler, Pascal Auscher (LM-Orsay), Pierre Portal (MSI), Sylvie Monniaux (LATP)

arxiv:1112.4292 v2 · 2011-12-19 · math.CA · 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{Q4WYQKESNK66YVCY7HTB6KPY5H}

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	2026-05-18T03:59:49.165747Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

872d8828926abdec5458f9e61f29f8e9df49f5d6332b4858a75ff39fe5444273

Aliases

arxiv: 1112.4292 · arxiv_version: 1112.4292v2 · doi: 10.48550/arxiv.1112.4292 · pith_short_12: Q4WYQKESNK66 · pith_short_16: Q4WYQKESNK66YVCY · pith_short_8: Q4WYQKES

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/Q4WYQKESNK66YVCY7HTB6KPY5H \
  | 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: 872d8828926abdec5458f9e61f29f8e9df49f5d6332b4858a75ff39fe5444273

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "08eb6c0d4a5660399e91b72c35544c42af214bfba496e430158c951137bfa3dd",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2011-12-19T10:35:01Z",
    "title_canon_sha256": "0218822ffcb3703a6f544a204c5b40f264b08c8924dc74f7ac1c81170d88a041"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.4292",
    "kind": "arxiv",
    "version": 2
  }
}