Pith Number

pith:E6ZC6YZ2

pith:2016:E6ZC6YZ2YWXD7A5ADBYE5RRUZM

not attested not anchored not stored refs pending

A priori bounds and global bifurcation results for frequency combs modeled by the Lugiato-Lefever equation

Rainer Mandel, Wolfgang Reichel

arxiv:1603.02206 v5 · 2016-03-07 · 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{E6ZC6YZ2YWXD7A5ADBYE5RRUZM}

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	2026-05-18T01:01:00.276673Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

27b22f633ac5ae3f83a018704ec634cb30034f85d9d941bfe81ff026115df72d

Aliases

arxiv: 1603.02206 · arxiv_version: 1603.02206v5 · doi: 10.48550/arxiv.1603.02206 · pith_short_12: E6ZC6YZ2YWXD · pith_short_16: E6ZC6YZ2YWXD7A5A · pith_short_8: E6ZC6YZ2

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/E6ZC6YZ2YWXD7A5ADBYE5RRUZM \
  | 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: 27b22f633ac5ae3f83a018704ec634cb30034f85d9d941bfe81ff026115df72d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7feaff7f753301d4c750c9dde10b2d0eae1eccbb072e9461b606a96cdde84d5d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-03-07T19:06:12Z",
    "title_canon_sha256": "fe158e33a7fe6755aed466c5b2f95cfe537911e05a2a038e8e199581648f0e5e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.02206",
    "kind": "arxiv",
    "version": 5
  }
}