Pith Number

pith:KG4QPKKA

pith:2018:KG4QPKKAY7ZOUBWMUTO2BUTYJF

not attested not anchored not stored refs pending

On $C^1$-approximability of functions by solutions of second order elliptic equations on plane compact sets and $C$-analytic capacity

Petr V. Paramonov, Xavier Tolsa

arxiv:1811.06288 v1 · 2018-11-15 · 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{KG4QPKKAY7ZOUBWMUTO2BUTYJF}

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	2026-05-18T00:00:38.097199Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

51b907a940c7f2ea06cca4dda0d27849629c59735c71e452b0974e9f3a2a3f14

Aliases

arxiv: 1811.06288 · arxiv_version: 1811.06288v1 · doi: 10.48550/arxiv.1811.06288 · pith_short_12: KG4QPKKAY7ZO · pith_short_16: KG4QPKKAY7ZOUBWM · pith_short_8: KG4QPKKA

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/KG4QPKKAY7ZOUBWMUTO2BUTYJF \
  | 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: 51b907a940c7f2ea06cca4dda0d27849629c59735c71e452b0974e9f3a2a3f14

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "677bd65a5089ab83bb8b2556e7b73e2ad629a3c451626b8ee5f7a6ba99bcada2",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2018-11-15T10:44:51Z",
    "title_canon_sha256": "40135c20f50161a68e81b4a0cd1274ba02fb625553c932e913ff52b358692118"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1811.06288",
    "kind": "arxiv",
    "version": 1
  }
}