Pith Number

pith:CCL2JL6Z

pith:2012:CCL2JL6ZTEPBGFAYL42V57CDCV

not attested not anchored not stored refs pending

On the uniform rectifiability of AD regular measures with bounded Riesz transform operator: the case of codimension 1

Alexander Volberg, Fedor Nazarov, Xavier Tolsa

arxiv:1212.5229 v2 · 2012-12-20 · math.AP · 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{CCL2JL6ZTEPBGFAYL42V57CDCV}

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	2026-05-18T03:37:52.143702Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1097a4afd9991e1314185f355efc43157c5b4d900ee30c465a19eb5c117342d6

Aliases

arxiv: 1212.5229 · arxiv_version: 1212.5229v2 · doi: 10.48550/arxiv.1212.5229 · pith_short_12: CCL2JL6ZTEPB · pith_short_16: CCL2JL6ZTEPBGFAY · pith_short_8: CCL2JL6Z

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/CCL2JL6ZTEPBGFAYL42V57CDCV \
  | 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: 1097a4afd9991e1314185f355efc43157c5b4d900ee30c465a19eb5c117342d6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "85565c1508b9b96f63527b8d5375616709b5e321a38cfaf596aa4c5128d85fc7",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-12-20T20:31:51Z",
    "title_canon_sha256": "1873da5659a9e28c4276bca3fd9cb6d21d1b8bcd4d14faba94d96df68cadca67"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.5229",
    "kind": "arxiv",
    "version": 2
  }
}