Pith Number

pith:QXL3PYKO

pith:2015:QXL3PYKOFYC7QDFTPERWDQ5OTU

not attested not anchored not stored refs pending

The dynamical playground of a higher-order cubic Ginzburg-Landau equation: from orbital connections and limit cycles to invariant tori and the onset of chaos

A. R. Bishop, D. J. Frantzeskakis, N. I. Karachalios, P. G. Kevrekidis, S. Diamantidis, T. P. Horikis, V. Achilleos

arxiv:1509.03828 v3 · 2015-09-13 · 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{QXL3PYKOFYC7QDFTPERWDQ5OTU}

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	2026-05-18T01:10:52.442798Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

85d7b7e14e2e05f80cb3792361c3ae9d3d24c32409afb8c25b0ba90249a7f2b3

Aliases

arxiv: 1509.03828 · arxiv_version: 1509.03828v3 · doi: 10.48550/arxiv.1509.03828 · pith_short_12: QXL3PYKOFYC7 · pith_short_16: QXL3PYKOFYC7QDFT · pith_short_8: QXL3PYKO

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/QXL3PYKOFYC7QDFTPERWDQ5OTU \
  | 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: 85d7b7e14e2e05f80cb3792361c3ae9d3d24c32409afb8c25b0ba90249a7f2b3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "05c71fe03a881544e35e29a2fda97e3151d46f2b793794c76bace22342de08bd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "nlin.PS",
    "submitted_at": "2015-09-13T09:42:36Z",
    "title_canon_sha256": "4455ceafc5de8b9199e63e1caf7fe0e24f254f0bde4fd4cef948ec38f4decb10"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.03828",
    "kind": "arxiv",
    "version": 3
  }
}