Pith Number

pith:ZCGFGSU4

pith:2018:ZCGFGSU4GG7F76H4DFKOBHWVZI

not attested not anchored not stored refs pending

The Lugiato-Lefever equation with nonlinear damping caused by two photon absorption

Janina G\"artner, Rainer Mandel, Wolfgang Reichel

arxiv:1811.12200 v3 · 2018-11-29 · 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{ZCGFGSU4GG7F76H4DFKOBHWVZI}

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	2026-05-17T23:58:47.154902Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c88c534a9c31be5ff8fc1954e09ed5ca17797df710375b8246578a27f3f51336

Aliases

arxiv: 1811.12200 · arxiv_version: 1811.12200v3 · doi: 10.48550/arxiv.1811.12200 · pith_short_12: ZCGFGSU4GG7F · pith_short_16: ZCGFGSU4GG7F76H4 · pith_short_8: ZCGFGSU4

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/ZCGFGSU4GG7F76H4DFKOBHWVZI \
  | 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: c88c534a9c31be5ff8fc1954e09ed5ca17797df710375b8246578a27f3f51336

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0e57283566d94966b2e32bf6888bb9f929f3d18ea1db247c4cd07217452ad68d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-11-29T14:36:46Z",
    "title_canon_sha256": "8c95d391a22272e58a478707df65f776b7dbf0cf54c14153855ade8b57c37001"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1811.12200",
    "kind": "arxiv",
    "version": 3
  }
}