Pith Number

pith:TD5W76XT

pith:2011:TD5W76XTYMHIXOS7ETMN3J4DHC

not attested not anchored not stored refs pending

Variation for the Riesz transform and uniform rectifiability

Albert Mas, Xavier Tolsa

arxiv:1109.0466 v1 · 2011-09-02 · 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{TD5W76XTYMHIXOS7ETMN3J4DHC}

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	2026-05-18T04:14:15.582068Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

98fb6ffaf3c30e8bba5f24d8dda78338aa6f02ae3cbd0182afc69df553c394da

Aliases

arxiv: 1109.0466 · arxiv_version: 1109.0466v1 · doi: 10.48550/arxiv.1109.0466 · pith_short_12: TD5W76XTYMHI · pith_short_16: TD5W76XTYMHIXOS7 · pith_short_8: TD5W76XT

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/TD5W76XTYMHIXOS7ETMN3J4DHC \
  | 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: 98fb6ffaf3c30e8bba5f24d8dda78338aa6f02ae3cbd0182afc69df553c394da

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1b0c3375c9948b6a9a7ef5ece3ecb22358bc48e8b1a9d45cbebaf6f7e8d5c611",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2011-09-02T15:00:06Z",
    "title_canon_sha256": "7944dab2b928156fe19f73a6af7b9491724a0727ee97d8c4794ae05aba973411"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.0466",
    "kind": "arxiv",
    "version": 1
  }
}