Pith Number

pith:47NPMEMI

pith:2018:47NPMEMIMJ4HKWFTHWMGKGZ6JW

not attested not anchored not stored refs pending

On a singular eigenvalue problem and its applications in computing the Morse index of solutions to semilinear PDE's

Anna Lisa Amadori, Francesca Gladiali

arxiv:1805.04321 v2 · 2018-05-11 · 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{47NPMEMIMJ4HKWFTHWMGKGZ6JW}

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	2026-05-17T23:44:32.511966Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e7daf6118862787558b33d98651b3e4d8d62193d1408dc40dba45bc10a41cf23

Aliases

arxiv: 1805.04321 · arxiv_version: 1805.04321v2 · doi: 10.48550/arxiv.1805.04321 · pith_short_12: 47NPMEMIMJ4H · pith_short_16: 47NPMEMIMJ4HKWFT · pith_short_8: 47NPMEMI

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/47NPMEMIMJ4HKWFTHWMGKGZ6JW \
  | 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: e7daf6118862787558b33d98651b3e4d8d62193d1408dc40dba45bc10a41cf23

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6b647fae24ad2b390f4dde3f7817ebfef02de7325d14a8af62c11fec1999a8ec",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-05-11T11:05:29Z",
    "title_canon_sha256": "bb789481ee873488b1080320f148ca56d99d1954cc7c8e3031fb623f7d409ab1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1805.04321",
    "kind": "arxiv",
    "version": 2
  }
}