Pith Number

pith:5AFBVZNP

pith:2019:5AFBVZNPI7HLOIJKKVJI2GM55I

not attested not anchored not stored refs pending

Cubic-quintic nonlinear Helmholtz equation: Modulational instability, chirped elliptic and solitary waves

A. Govindarajan, K. Tamilselvan, T. Kanna

arxiv:1906.02908 v1 · 2019-06-07 · nlin.PS

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5AFBVZNPI7HLOIJKKVJI2GM55I}

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	2026-05-17T23:42:13.360365Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e80a1ae5af47ceb7212a55528d199dea3e95162489e4ca9dae30cbd9942ec6d7

Aliases

arxiv: 1906.02908 · arxiv_version: 1906.02908v1 · doi: 10.48550/arxiv.1906.02908 · pith_short_12: 5AFBVZNPI7HL · pith_short_16: 5AFBVZNPI7HLOIJK · pith_short_8: 5AFBVZNP

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/5AFBVZNPI7HLOIJKKVJI2GM55I \
  | 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: e80a1ae5af47ceb7212a55528d199dea3e95162489e4ca9dae30cbd9942ec6d7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ccb632f0873aadd7ee8d3b8be389d845989559afeee8caedbe097de9d85e2b65",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "nlin.PS",
    "submitted_at": "2019-06-07T05:50:23Z",
    "title_canon_sha256": "0835a74dd3215d6788e0d44b4cbca94b0fcf75aaa38f2c56ef406afe8051433a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1906.02908",
    "kind": "arxiv",
    "version": 1
  }
}