Pith Number

pith:JU4KHZWD

pith:2016:JU4KHZWDRGWIIKTPTO55MEBB57

not attested not anchored not stored refs pending

Uniform rectifiability from Carleson measure estimates and $\varepsilon$-approximability of bounded harmonic functions

John Garnett, Mihalis Mourgoglou, Xavier Tolsa

arxiv:1611.00264 v3 · 2016-11-01 · 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{JU4KHZWDRGWIIKTPTO55MEBB57}

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	2026-05-18T00:10:32.453595Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4d38a3e6c389ac842a6f9bbbd61021efee0689833ed3a17987c6d6bae95646c5

Aliases

arxiv: 1611.00264 · arxiv_version: 1611.00264v3 · doi: 10.48550/arxiv.1611.00264 · pith_short_12: JU4KHZWDRGWI · pith_short_16: JU4KHZWDRGWIIKTP · pith_short_8: JU4KHZWD

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/JU4KHZWDRGWIIKTPTO55MEBB57 \
  | 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: 4d38a3e6c389ac842a6f9bbbd61021efee0689833ed3a17987c6d6bae95646c5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "62b0dca75589b0d98df56e60e624211777a0c2ac8f6000e0bd2b63c2475f7698",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2016-11-01T15:12:12Z",
    "title_canon_sha256": "55182877d96ede21b1ae3fe1dee340b4af4de25bd61b867aa074f7a3a4dacf95"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.00264",
    "kind": "arxiv",
    "version": 3
  }
}