Pith Number

pith:QMCJOXLP

pith:2018:QMCJOXLPH2ZJOFIOS3HEEGNBRR

not attested not anchored not stored refs pending

Morse index and uniqueness of positive solutions of the Lane-Emden problem in planar domains

Filomena Pacella, Francesca De Marchis, Isabella Ianni, Massimo Grossi

arxiv:1804.03499 v1 · 2018-04-10 · 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{QMCJOXLPH2ZJOFIOS3HEEGNBRR}

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	2026-05-18T00:18:47.946002Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8304975d6f3eb297150e96ce4219a18c527b5bfcfa07188e3d38d5bd9065da40

Aliases

arxiv: 1804.03499 · arxiv_version: 1804.03499v1 · doi: 10.48550/arxiv.1804.03499 · pith_short_12: QMCJOXLPH2ZJ · pith_short_16: QMCJOXLPH2ZJOFIO · pith_short_8: QMCJOXLP

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/QMCJOXLPH2ZJOFIOS3HEEGNBRR \
  | 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: 8304975d6f3eb297150e96ce4219a18c527b5bfcfa07188e3d38d5bd9065da40

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "74d7e8a72050a9e96ccc1c90150a6907427b0dbe1dc07c45b705a7caad284c3e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-04-10T13:18:46Z",
    "title_canon_sha256": "32c14791267cadb8fc5b3e76a097e15570945732abfe563f52088a0aab7a7299"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1804.03499",
    "kind": "arxiv",
    "version": 1
  }
}