Pith Number

pith:JP7TTW26

pith:2018:JP7TTW26HSEUQN4LNR2XXNUUQN

not attested not anchored not stored refs pending

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

Jonas Azzam, Mihalis Mourgoglou, Xavier Tolsa

arxiv:1803.07975 v3 · 2018-03-21 · 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{JP7TTW26HSEUQN4LNR2XXNUUQN}

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	2026-05-18T00:11:11.170218Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4bff39db5e3c8948378b6c757bb694837e319923e3c6fcaba008501cc87789a8

Aliases

arxiv: 1803.07975 · arxiv_version: 1803.07975v3 · doi: 10.48550/arxiv.1803.07975 · pith_short_12: JP7TTW26HSEU · pith_short_16: JP7TTW26HSEUQN4L · pith_short_8: JP7TTW26

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/JP7TTW26HSEUQN4LNR2XXNUUQN \
  | 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: 4bff39db5e3c8948378b6c757bb694837e319923e3c6fcaba008501cc87789a8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2b4d94d00f2f4fa433a84ba4a0cd28deca4fd938dc638a34786dbf600496b94b",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-03-21T15:57:06Z",
    "title_canon_sha256": "73bc265e03e363eb7e7b68919d3a097202c54a29ea9c1f62b12567257c5488bf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1803.07975",
    "kind": "arxiv",
    "version": 3
  }
}