Pith Number

pith:3RNW7SYN

pith:2026:3RNW7SYNSUIP7EIV6U3QVUB6B6

not attested not anchored not stored refs pending

Schauder--Orlicz-Type Estimates for Divergence-Form Elliptic Equations with Lower-Order Terms

Abdelouahab Hanine, Jaouad Bourabiaa, Youssef Elmadani

arxiv:2605.24596 v1 · 2026-05-23 · 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{3RNW7SYNSUIP7EIV6U3QVUB6B6}

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	2026-05-26T01:03:48.149644Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dc5b6fcb0d9510ff9115f5370ad03e0fbad02e24555053e4efeb9f381decd191

Aliases

arxiv: 2605.24596 · arxiv_version: 2605.24596v1 · doi: 10.48550/arxiv.2605.24596 · pith_short_12: 3RNW7SYNSUIP · pith_short_16: 3RNW7SYNSUIP7EIV · pith_short_8: 3RNW7SYN

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/3RNW7SYNSUIP7EIV6U3QVUB6B6 \
  | 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: dc5b6fcb0d9510ff9115f5370ad03e0fbad02e24555053e4efeb9f381decd191

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "00943ec855cf3ca563d0eb463b77270a431915af600def729d3cc5e4b66d6d2a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2026-05-23T14:21:17Z",
    "title_canon_sha256": "b26a530f8432dfa75e369e2771c42cf6de5fed8a2c76053c6e4ba12b2ce529c7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.24596",
    "kind": "arxiv",
    "version": 1
  }
}