Pith Number

pith:OBGMUELL

pith:2025:OBGMUELL6BFHOAYAJI44JBXFIQ

not attested not anchored not stored refs pending

An overview of regularity results for the Laplacian and $p$-Laplacian in metric spaces

Ivan Yuri Violo

arxiv:2502.00825 v1 · 2025-02-02 · math.AP · 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{OBGMUELL6BFHOAYAJI44JBXFIQ}

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	2026-07-05T10:08:38.928002Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

704cca116bf04a7703004a39c486e5440b3c4c2a8d45703860ff590a5e5a8495

Aliases

arxiv: 2502.00825 · arxiv_version: 2502.00825v1 · doi: 10.48550/arxiv.2502.00825 · pith_short_12: OBGMUELL6BFH · pith_short_16: OBGMUELL6BFHOAYA · pith_short_8: OBGMUELL

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/OBGMUELL6BFHOAYAJI44JBXFIQ \
  | 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: 704cca116bf04a7703004a39c486e5440b3c4c2a8d45703860ff590a5e5a8495

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b7e57bd94770b5f75692e72b3f453735c7ebcf83f16f221e5103d1a8a3fa61eb",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2025-02-02T15:43:10Z",
    "title_canon_sha256": "334e495a39371726303eb2dc076caaf69f28392f404a0f47521e3a61b03c90bb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2502.00825",
    "kind": "arxiv",
    "version": 1
  }
}