Pith Number

pith:LHA4K4LI

pith:2008:LHA4K4LIEKHF7N3JO6ETE5NUDC

not attested not anchored not stored refs pending

A new sharp estimate on the dimension of the attractor for the Dirichlet problem of the complex Ginzburg-Landau equation

Nikos I. Karachalios

arxiv:0803.0817 v1 · 2008-03-06 · math.AP · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LHA4K4LIEKHF7N3JO6ETE5NUDC}

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	2026-05-18T02:16:00.517370Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

59c1c57168228e5fb76977893275b418ad25ad7e490084db9941b456f8c34bec

Aliases

arxiv: 0803.0817 · arxiv_version: 0803.0817v1 · doi: 10.48550/arxiv.0803.0817 · pith_short_12: LHA4K4LIEKHF · pith_short_16: LHA4K4LIEKHF7N3J · pith_short_8: LHA4K4LI

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/LHA4K4LIEKHF7N3JO6ETE5NUDC \
  | 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: 59c1c57168228e5fb76977893275b418ad25ad7e490084db9941b456f8c34bec

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bc6e40a5474333e6fc1f5878699d41f2773254404652efa29dd2cde17b09e192",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2008-03-06T12:28:31Z",
    "title_canon_sha256": "b589ca701c9736d46e87b91f9864ed959c7009fcef61125e13525a359ad71be2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0803.0817",
    "kind": "arxiv",
    "version": 1
  }
}