Pith Number

pith:JLZTKOB6

pith:2007:JLZTKOB6XY7FERYAHXU5ISS2V4

not attested not anchored not stored refs pending

The Lie-Poisson Structure of the Euler Equations of an Ideal Fluid

Jerrold E. Marsden, Sergiy Vasylkevych

arxiv:0711.4875 v1 · 2007-11-30 · math.AP · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JLZTKOB6XY7FERYAHXU5ISS2V4}

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	2026-07-04T15:05:58.028857Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4af335383ebe3e5247003de9d44a5aaf27d2493c8b86f0cc16ad34c25873e1f1

Aliases

arxiv: 0711.4875 · arxiv_version: 0711.4875v1 · doi: 10.48550/arxiv.0711.4875 · pith_short_12: JLZTKOB6XY7F · pith_short_16: JLZTKOB6XY7FERYA · pith_short_8: JLZTKOB6

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/JLZTKOB6XY7FERYAHXU5ISS2V4 \
  | 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: 4af335383ebe3e5247003de9d44a5aaf27d2493c8b86f0cc16ad34c25873e1f1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "51127600c243c12f2ced0bae2e9e72a52526cbfcaa2959db0078a78ae69e9a18",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "",
    "primary_cat": "math.AP",
    "submitted_at": "2007-11-30T06:26:17Z",
    "title_canon_sha256": "04dbe0f18f6aaa064e44f6d41b4e7ee89e8da17a0efe5a9d59c0ed31adb4be02"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0711.4875",
    "kind": "arxiv",
    "version": 1
  }
}