Pith Number

pith:XZFME4RY

pith:2024:XZFME4RYUMTXOKNXBHKYB2MJKW

not attested not anchored not stored refs pending

Applications of the Painlev\'e-Kuratowski convergence: Lipschitz functions with converging Clarke subdifferentials and convergence of sets defined by converging equations

Daniel Fatu{\l}a

arxiv:2405.06314 v4 · 2024-05-10 · math.GT · math.CA · math.MG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XZFME4RYUMTXOKNXBHKYB2MJKW}

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	2026-05-20T00:02:46.072456Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

be4ac27238a3277729b709d580e989559c5987fff33fb10819e864a16bffe263

Aliases

arxiv: 2405.06314 · arxiv_version: 2405.06314v4 · doi: 10.48550/arxiv.2405.06314 · pith_short_12: XZFME4RYUMTX · pith_short_16: XZFME4RYUMTXOKNX · pith_short_8: XZFME4RY

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/XZFME4RYUMTXOKNXBHKYB2MJKW \
  | 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: be4ac27238a3277729b709d580e989559c5987fff33fb10819e864a16bffe263

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3ba0421f6ed5f16599729f9024668dbd328bf63861b962a37e04fe1393f9a385",
    "cross_cats_sorted": [
      "math.CA",
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2024-05-10T08:36:15Z",
    "title_canon_sha256": "f46137cd7e6360b8048b1c9272aafa351b891cede63b1b5c5c561c386beb23d4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2405.06314",
    "kind": "arxiv",
    "version": 4
  }
}