Pith Number

pith:4PPXM6ZJ

pith:2011:4PPXM6ZJ7QM5QHG4P7N7ZXUE67

not attested not anchored not stored refs pending

On the Haar Shift representations of Calder\'on-Zygmund Operators

Tuomas Orponen

arxiv:1110.3756 v2 · 2011-10-17 · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4PPXM6ZJ7QM5QHG4P7N7ZXUE67}

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	2026-05-18T03:13:11.079948Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e3df767b29fc19d81cdc7fdbfcde84f7e0608870c3554b1aa2581593ec30c2d1

Aliases

arxiv: 1110.3756 · arxiv_version: 1110.3756v2 · doi: 10.48550/arxiv.1110.3756 · pith_short_12: 4PPXM6ZJ7QM5 · pith_short_16: 4PPXM6ZJ7QM5QHG4 · pith_short_8: 4PPXM6ZJ

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/4PPXM6ZJ7QM5QHG4P7N7ZXUE67 \
  | 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: e3df767b29fc19d81cdc7fdbfcde84f7e0608870c3554b1aa2581593ec30c2d1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ff3c6fbf1fa30a8ac0767ca3f596266e46c0e022f27c7ff561f8eb1506ed8c53",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2011-10-17T18:31:11Z",
    "title_canon_sha256": "cfb235e9e40e7a80890e09f1b98a36fcd78d53a7296ed16a075d5bc1da7ffcd1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.3756",
    "kind": "arxiv",
    "version": 2
  }
}