Pith Number

pith:QTOYYN4Q

pith:2009:QTOYYN4QWIXBTDU2KOPJ3OBZLH

not attested not anchored not stored refs pending

Symmetry Analysis for a New Form of the Vortex Mode Equation

Ali Mahdipour--Shirayeh, Mehdi Nadjafikhah

arxiv:0905.0175 v1 · 2009-05-04 · math.DG · 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{QTOYYN4QWIXBTDU2KOPJ3OBZLH}

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	2026-05-18T04:05:46.174619Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

84dd8c3790b22e198e9a539e9db83959eaab780b835881b60de990fb37a741ee

Aliases

arxiv: 0905.0175 · arxiv_version: 0905.0175v1 · doi: 10.48550/arxiv.0905.0175 · pith_short_12: QTOYYN4QWIXB · pith_short_16: QTOYYN4QWIXBTDU2 · pith_short_8: QTOYYN4Q

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/QTOYYN4QWIXBTDU2KOPJ3OBZLH \
  | 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: 84dd8c3790b22e198e9a539e9db83959eaab780b835881b60de990fb37a741ee

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "30dfd36f5625ecd09d68029d9aa8c829d23678a6bba758c037f8e400d73e0684",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2009-05-04T12:56:59Z",
    "title_canon_sha256": "4081c332e990ff616552aff0fa6c74b07049b2e2a966cf0d91e08586265f0797"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0905.0175",
    "kind": "arxiv",
    "version": 1
  }
}