Pith Number

pith:U7G2FTFK

pith:2024:U7G2FTFKUMV4RV2URS5RBBMBHM

not attested not anchored not stored refs pending

On solutions to a class of degenerate equations with the Grushin operator

Alberto Ferrero, Laura Abatangelo, Paolo Luzzini

arxiv:2410.12637 v1 · 2024-10-16 · 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{U7G2FTFKUMV4RV2URS5RBBMBHM}

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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

Existence and decay for a Grushin problem in $\mathbb{R}^N$ with singular, convective, critical reaction

Receipt and verification

First computed	2026-07-05T09:21:31.892307Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a7cda2ccaaa32bc8d7548cbb1085813b1efd52353985adb8c419d532919e07d9

Aliases

arxiv: 2410.12637 · arxiv_version: 2410.12637v1 · doi: 10.48550/arxiv.2410.12637 · pith_short_12: U7G2FTFKUMV4 · pith_short_16: U7G2FTFKUMV4RV2U · pith_short_8: U7G2FTFK

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/U7G2FTFKUMV4RV2URS5RBBMBHM \
  | 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: a7cda2ccaaa32bc8d7548cbb1085813b1efd52353985adb8c419d532919e07d9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6654b200aba3538391654b945658cde0b3c158809e0eab8bfdeec1fb15e76c99",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2024-10-16T14:55:22Z",
    "title_canon_sha256": "1e26977024b268a4f1fc1e53cb9f457c9979ad01e6f549ada088143360be3063"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2410.12637",
    "kind": "arxiv",
    "version": 1
  }
}