Pith Number

pith:I5J5P3X3

pith:2012:I5J5P3X3B7T4YKPQ2AVO23E64H

not attested not anchored not stored refs pending

Uniform rectifiability and harmonic measure I: Uniform rectifiability implies Poisson kernels in $L^p$

Jos\'e Mar\'ia Martell, Steve Hofmann

arxiv:1202.3857 v3 · 2012-02-17 · 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{I5J5P3X3B7T4YKPQ2AVO23E64H}

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	2026-05-18T01:37:11.766616Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4753d7eefb0fe7cc29f0d02aed6c9ee1e3c454cbfae5d1badeb37441c71b3797

Aliases

arxiv: 1202.3857 · arxiv_version: 1202.3857v3 · doi: 10.48550/arxiv.1202.3857 · pith_short_12: I5J5P3X3B7T4 · pith_short_16: I5J5P3X3B7T4YKPQ · pith_short_8: I5J5P3X3

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/I5J5P3X3B7T4YKPQ2AVO23E64H \
  | 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: 4753d7eefb0fe7cc29f0d02aed6c9ee1e3c454cbfae5d1badeb37441c71b3797

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dd448cf009c60bfa7aea6be0eee815f14f021605e111d35ae255aec359961c78",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2012-02-17T09:43:05Z",
    "title_canon_sha256": "48ed6d974c272d770a35a7a0555a7918ae7c91409befd9279e17fab473f6dab4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.3857",
    "kind": "arxiv",
    "version": 3
  }
}