Pith Number

pith:PGKQ5R4O

pith:2019:PGKQ5R4OCDHVPRMG5COXGRPBKT

not attested not anchored not stored refs pending

Harmonic measure and quantitative connectivity: geometric characterization of the $L^p$-solvability of the Dirichlet problem

Jonas Azzam, Jos\'e Mar\'ia Martell, Mihalis Mourgoglou, Steve Hofmann, Xavier Tolsa

arxiv:1907.07102 v2 · 2019-07-04 · 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{PGKQ5R4OCDHVPRMG5COXGRPBKT}

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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.

Cited by

1 paper in Pith

Uniform rectifiability and elliptic operators satisfying a Carleson measure condition. Part II: The large constant case

Receipt and verification

First computed	2026-07-05T01:26:38.632704Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

79950ec78e10cf57c586e89d7345e154e7188be5a9e461283ee31d00821d42b0

Aliases

arxiv: 1907.07102 · arxiv_version: 1907.07102v2 · doi: 10.48550/arxiv.1907.07102 · pith_short_12: PGKQ5R4OCDHV · pith_short_16: PGKQ5R4OCDHVPRMG · pith_short_8: PGKQ5R4O

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/PGKQ5R4OCDHVPRMG5COXGRPBKT \
  | 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: 79950ec78e10cf57c586e89d7345e154e7188be5a9e461283ee31d00821d42b0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c8e56e66200e8a51c86be67004313a1b7ac8bd4eaf8ce67b7639036743b20480",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2019-07-04T17:23:54Z",
    "title_canon_sha256": "c37724828cdbe91b36c0ea84d9db554627bffb3fe3962d5f74ba7a8996dc4377"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.07102",
    "kind": "arxiv",
    "version": 2
  }
}