Pith Number

pith:VAX7YWBD

pith:2016:VAX7YWBD2ZU4VU6LDIKXAXCI7P

not attested not anchored not stored refs pending

A Morse index formula for radial solutions of Lane-Emden problems

Filomena Pacella, Francesca De Marchis, Isabella Ianni

arxiv:1605.03357 v1 · 2016-05-11 · 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{VAX7YWBD2ZU4VU6LDIKXAXCI7P}

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	2026-05-18T01:01:44.514951Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a82ffc5823d669cad3cb1a15705c48fbddd6be2d8608ae91fef7694dd3711ff8

Aliases

arxiv: 1605.03357 · arxiv_version: 1605.03357v1 · doi: 10.48550/arxiv.1605.03357 · pith_short_12: VAX7YWBD2ZU4 · pith_short_16: VAX7YWBD2ZU4VU6L · pith_short_8: VAX7YWBD

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/VAX7YWBD2ZU4VU6LDIKXAXCI7P \
  | 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: a82ffc5823d669cad3cb1a15705c48fbddd6be2d8608ae91fef7694dd3711ff8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fcc1eb776c6042c7f3220ce19d9692a41143753f41eca65054ba950f77fa6c50",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-05-11T09:58:41Z",
    "title_canon_sha256": "4734a20e5e499ba7d6a7955eee7d830dd2a23ca36bf70499ab8ed6f49d5d6f42"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.03357",
    "kind": "arxiv",
    "version": 1
  }
}