Pith Number

pith:OFODMYUN

pith:2018:OFODMYUNHNS2KL7FQQZDAHPRJI

not attested not anchored not stored refs pending

A density result for homogeneous Sobolev spaces on planar domains

Debanjan Nandi, Tapio Rajala, Timo Schultz

arxiv:1801.02824 v1 · 2018-01-09 · math.FA · 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{OFODMYUNHNS2KL7FQQZDAHPRJI}

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	2026-05-18T00:26:22.326947Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

715c36628d3b65a52fe58432301df14a364295c83398571bff2a11ff0f09c938

Aliases

arxiv: 1801.02824 · arxiv_version: 1801.02824v1 · doi: 10.48550/arxiv.1801.02824 · pith_short_12: OFODMYUNHNS2 · pith_short_16: OFODMYUNHNS2KL7F · pith_short_8: OFODMYUN

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/OFODMYUNHNS2KL7FQQZDAHPRJI \
  | 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: 715c36628d3b65a52fe58432301df14a364295c83398571bff2a11ff0f09c938

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "894660b0b12548c56eae4e2c92395c6ad8ca7ddfbd64f6f1f3a722156e178031",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2018-01-09T07:20:25Z",
    "title_canon_sha256": "4fd23499e675013a1291d4c830374c3ad62beaef3fcd9b117786de372ce07469"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1801.02824",
    "kind": "arxiv",
    "version": 1
  }
}