Pith Number

pith:RKPPTZFV

pith:2016:RKPPTZFV5HCI7EMI7KPQB4AQET

not attested not anchored not stored refs pending

Logarithmic NLS equation on star graphs: existence and stability of standing waves

Alex H. Ardila

arxiv:1611.03319 v3 · 2016-11-10 · 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{RKPPTZFV5HCI7EMI7KPQB4AQET}

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	2026-05-18T00:31:36.290163Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8a9ef9e4b5e9c48f9188fa9f00f01024d4d35d42d21f40f12bd8b3ae921bef92

Aliases

arxiv: 1611.03319 · arxiv_version: 1611.03319v3 · doi: 10.48550/arxiv.1611.03319 · pith_short_12: RKPPTZFV5HCI · pith_short_16: RKPPTZFV5HCI7EMI · pith_short_8: RKPPTZFV

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/RKPPTZFV5HCI7EMI7KPQB4AQET \
  | 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: 8a9ef9e4b5e9c48f9188fa9f00f01024d4d35d42d21f40f12bd8b3ae921bef92

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0db4567e299e3dbb697c21f6e91b6f56fd025977aa9d2ea727c589c006ebb7c0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-11-10T14:44:38Z",
    "title_canon_sha256": "40c7d14f400ff82534e04033d14a8e5bca949ba415d2bc4a10557a076532cd30"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.03319",
    "kind": "arxiv",
    "version": 3
  }
}