Pith Number

pith:KK67PJMU

pith:2009:KK67PJMUEKT5JTJ266DMM6MMUH

not attested not anchored not stored refs pending

Elliptic Vortices in Composite Mathieu Lattices

Bambi Hu, Dumitru Mihalache, Fangwei Ye

arxiv:0905.0186 v1 · 2009-05-02 · nlin.PS · nlin.AO · physics.optics

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KK67PJMUEKT5JTJ266DMM6MMUH}

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	2026-05-18T02:13:48.352580Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

52bdf7a59422a7d4cd3af786c6798ca1f2d21274d502e5389bc9631376745203

Aliases

arxiv: 0905.0186 · arxiv_version: 0905.0186v1 · doi: 10.48550/arxiv.0905.0186 · pith_short_12: KK67PJMUEKT5 · pith_short_16: KK67PJMUEKT5JTJ2 · pith_short_8: KK67PJMU

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/KK67PJMUEKT5JTJ266DMM6MMUH \
  | 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: 52bdf7a59422a7d4cd3af786c6798ca1f2d21274d502e5389bc9631376745203

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "19fd45be94ac2e2929a393a5e4cf2a1cf0446972637fdd5d9f26e70d37f4fc45",
    "cross_cats_sorted": [
      "nlin.AO",
      "physics.optics"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "nlin.PS",
    "submitted_at": "2009-05-02T08:05:51Z",
    "title_canon_sha256": "af9279584d9fa62a1cd00e037ad06e3dcf4e8ed65e35cca9b03811d746c70806"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0905.0186",
    "kind": "arxiv",
    "version": 1
  }
}