Pith Number

pith:B3OKESFO

pith:2015:B3OKESFOILQ5PQ7JBOG7GAHEAQ

not attested not anchored not stored refs pending

Exact Morse index computation for nodal radial solutions of Lane-Emden problems

Filomena Pacella, Francesca De Marchis, Isabella Ianni

arxiv:1507.01360 v2 · 2015-07-06 · 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{B3OKESFOILQ5PQ7JBOG7GAHEAQ}

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	2026-05-18T01:20:01.619193Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0edca248ae42e1d7c3e90b8df300e40410ccd610e6e3cdfeed9413a6c74c37f2

Aliases

arxiv: 1507.01360 · arxiv_version: 1507.01360v2 · doi: 10.48550/arxiv.1507.01360 · pith_short_12: B3OKESFOILQ5 · pith_short_16: B3OKESFOILQ5PQ7J · pith_short_8: B3OKESFO

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/B3OKESFOILQ5PQ7JBOG7GAHEAQ \
  | 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: 0edca248ae42e1d7c3e90b8df300e40410ccd610e6e3cdfeed9413a6c74c37f2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8489193b46ca9fe172a037648677fb09fe338bca9f5adc2ba4a5086467f2dd7b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-07-06T09:04:40Z",
    "title_canon_sha256": "5eccf06dfd0ea65920b944497f3fab4055474f14d675ca0b608edfbf227a82f7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.01360",
    "kind": "arxiv",
    "version": 2
  }
}