Pith Number

pith:LCVQ7B2O

pith:2026:LCVQ7B2O2C2MQV7XW2BSKZI5W5

not attested not anchored not stored refs pending

Liouville-type theorems and existence of solutions for quasilinear elliptic problems

E. S. Medeiros, J. M. do \'O, R. F. Freire

arxiv:2607.02152 v1 · 2026-07-02 · 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{LCVQ7B2O2C2MQV7XW2BSKZI5W5}

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	2026-07-03T01:17:43.515480Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

58ab0f874ed0b4c857f7b68325651db7521b8ccb629e9a234c930cebb5236dfc

Aliases

arxiv: 2607.02152 · arxiv_version: 2607.02152v1 · doi: 10.48550/arxiv.2607.02152 · pith_short_12: LCVQ7B2O2C2M · pith_short_16: LCVQ7B2O2C2MQV7X · pith_short_8: LCVQ7B2O

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/LCVQ7B2O2C2MQV7XW2BSKZI5W5 \
  | 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: 58ab0f874ed0b4c857f7b68325651db7521b8ccb629e9a234c930cebb5236dfc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "063258b7a882258ea6a3427cbed58107eb07dbbc1c0194d4b91b086639eca5e4",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2026-07-02T13:26:55Z",
    "title_canon_sha256": "5a214c633670e614b47d612612ed14baf29dfdbe83935ae59b1d7501c4740539"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.02152",
    "kind": "arxiv",
    "version": 1
  }
}