Pith Number

pith:LGDDDWCN

pith:2026:LGDDDWCN7YKRMLVR5HH2GFTQKK

not attested not anchored not stored refs pending

Stable Semilinear Elliptic Equations: $\varepsilon$-Regularity \`a la Brezis and Dimensional Bounds for the Singular Set

Alessio Figalli, Federico Franceschini

arxiv:2606.21546 v1 · 2026-06-19 · 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{LGDDDWCN7YKRMLVR5HH2GFTQKK}

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	2026-06-23T01:13:14.277213Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

598631d84dfe15162eb1e9cfa3167052a59af90f495e1225c66bb4ddaa072564

Aliases

arxiv: 2606.21546 · arxiv_version: 2606.21546v1 · doi: 10.48550/arxiv.2606.21546 · pith_short_12: LGDDDWCN7YKR · pith_short_16: LGDDDWCN7YKRMLVR · pith_short_8: LGDDDWCN

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/LGDDDWCN7YKRMLVR5HH2GFTQKK \
  | 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: 598631d84dfe15162eb1e9cfa3167052a59af90f495e1225c66bb4ddaa072564

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "61bdc34cdb68397dc0f80e7db70a3039ae191c577f1859c316ce3610f7bbd47d",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-sa/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2026-06-19T15:43:30Z",
    "title_canon_sha256": "b5c6d0bcff98ac32346729baed165a7558873f9fc5552dcbf0c4963331e900de"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.21546",
    "kind": "arxiv",
    "version": 1
  }
}