Pith Number

pith:GEBFJ2GM

pith:2018:GEBFJ2GMG3EIIDAV6XIK7TAG6Z

not attested not anchored not stored refs pending

Convergence rate of the finite element approximation for extremizers of Sobolev inequalities

Jinmyoung Seok, Woocheol Choi, Younghun Hong

arxiv:1809.09852 v1 · 2018-09-26 · math.NA · 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{GEBFJ2GMG3EIIDAV6XIK7TAG6Z}

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	2026-05-18T00:04:43.481173Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

310254e8cc36c8840c15f5d0afcc06f65e0a4dc2aee14679fea358fdba213605

Aliases

arxiv: 1809.09852 · arxiv_version: 1809.09852v1 · doi: 10.48550/arxiv.1809.09852 · pith_short_12: GEBFJ2GMG3EI · pith_short_16: GEBFJ2GMG3EIIDAV · pith_short_8: GEBFJ2GM

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/GEBFJ2GMG3EIIDAV6XIK7TAG6Z \
  | 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: 310254e8cc36c8840c15f5d0afcc06f65e0a4dc2aee14679fea358fdba213605

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4c972faeca10789c16867c334d6b170ae51de3aa5cd89dd2e580c11fbce0590b",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2018-09-26T08:54:13Z",
    "title_canon_sha256": "33d97c4b4c25c76bcf24c199dfa50293f5c1ba7818e94dcf788b73eddbdbea3b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1809.09852",
    "kind": "arxiv",
    "version": 1
  }
}