Pith Number

pith:FS64PWIC

pith:2022:FS64PWICI2EDIQHH3BWFMKBJVE

not attested not anchored not stored refs pending

Symmetry of positive solutions for Lane-Emden systems involving the Logarithmic Laplacian

Michael Ruzhansky, Rong Zhang, Vishvesh Kumar

arxiv:2210.09110 v2 · 2022-10-17 · 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{FS64PWICI2EDIQHH3BWFMKBJVE}

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	2026-07-05T05:34:03.093203Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2cbdc7d90246883440e7d86c562829a9003cc8965208eaf0cf3318f6bcc81341

Aliases

arxiv: 2210.09110 · arxiv_version: 2210.09110v2 · doi: 10.48550/arxiv.2210.09110 · pith_short_12: FS64PWICI2ED · pith_short_16: FS64PWICI2EDIQHH · pith_short_8: FS64PWIC

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/FS64PWICI2EDIQHH3BWFMKBJVE \
  | 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: 2cbdc7d90246883440e7d86c562829a9003cc8965208eaf0cf3318f6bcc81341

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a1bed77faf20188dbf9687d9ca37ae6e9bd9a91c07664c03afc208e643b36caf",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2022-10-17T14:00:56Z",
    "title_canon_sha256": "22261a3c0942258c2802d77f0f1a4eeed59f7a5aed37db17ea2766eaf29c4728"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2210.09110",
    "kind": "arxiv",
    "version": 2
  }
}