Pith Number

pith:GTZBGU36

pith:2020:GTZBGU36RVLN4LFR7ABY4UTJUG

not attested not anchored not stored refs pending

Liouville-type theorems for sign-changing solutions to nonlocal elliptic inequalities and systems with variable-exponent nonlinearities

Ahmad Z. Fino, Bessem Samet, Mohamed Jleli

arxiv:2003.12167 v1 · 2020-03-26 · 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{GTZBGU36RVLN4LFR7ABY4UTJUG}

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.

Cited by

1 paper in Pith

List Decoding Expander-Based Codes up to Capacity in Near-Linear Time

Receipt and verification

First computed	2026-07-05T00:50:55.996014Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

34f213537e8d56de2cb1f8038e5269a1949cb6d5c3879185c34d22e49bceb1a3

Aliases

arxiv: 2003.12167 · arxiv_version: 2003.12167v1 · doi: 10.48550/arxiv.2003.12167 · pith_short_12: GTZBGU36RVLN · pith_short_16: GTZBGU36RVLN4LFR · pith_short_8: GTZBGU36

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/GTZBGU36RVLN4LFR7ABY4UTJUG \
  | 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: 34f213537e8d56de2cb1f8038e5269a1949cb6d5c3879185c34d22e49bceb1a3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4c522bb39ae388e951e169b9b1d4488fbd10542c4dca15ffbaa27f2ecdb83d66",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2020-03-26T22:02:17Z",
    "title_canon_sha256": "f67214373c6fbc2f0a7f49dc22b04b912c074a40a18df71b6f03d4116577cc2a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2003.12167",
    "kind": "arxiv",
    "version": 1
  }
}