Pith Number

pith:LNOWA75T

pith:2014:LNOWA75TCWV6DD4YPAKU27WVQX

not attested not anchored not stored refs pending

Morse index and sign changing bubble towers for Lane-Emden problems

Filomena Pacella, Francesca De Marchis, Isabella Ianni

arxiv:1406.3970 v1 · 2014-06-16 · 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{LNOWA75TCWV6DD4YPAKU27WVQX}

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	2026-05-18T01:22:48.868675Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5b5d607fb315abe18f9878154d7ed585dbdd235ed5f408382c4779e74559a30f

Aliases

arxiv: 1406.3970 · arxiv_version: 1406.3970v1 · doi: 10.48550/arxiv.1406.3970 · pith_short_12: LNOWA75TCWV6 · pith_short_16: LNOWA75TCWV6DD4Y · pith_short_8: LNOWA75T

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/LNOWA75TCWV6DD4YPAKU27WVQX \
  | 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: 5b5d607fb315abe18f9878154d7ed585dbdd235ed5f408382c4779e74559a30f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "42eafee97a93a38a5e3806782e10ee5f01eeabc35028099f039120847ca37278",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2014-06-16T11:02:10Z",
    "title_canon_sha256": "b65c998282415bfe7bb4648937a9bba01ea5aef9f64139b5843c36247dbcbd58"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1406.3970",
    "kind": "arxiv",
    "version": 1
  }
}