Pith Number

pith:6LU6PX7E

pith:2015:6LU6PX7EHQY3FARY7SFMFMUTY4

not attested not anchored not stored refs pending

Multipole Vortex Blob (MVB): Symplectic Geometry and Dynamics

Darryl D. Holm, Henry O. Jacobs

arxiv:1505.05950 v5 · 2015-05-22 · physics.flu-dyn · math.DS · math.SG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6LU6PX7EHQY3FARY7SFMFMUTY4}

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	2026-05-18T00:02:46.094784Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f2e9e7dfe43c31b28238fc8ac2b293c710f50165b3fa7439b2513ccd9bea0f90

Aliases

arxiv: 1505.05950 · arxiv_version: 1505.05950v5 · doi: 10.48550/arxiv.1505.05950 · pith_short_12: 6LU6PX7EHQY3 · pith_short_16: 6LU6PX7EHQY3FARY · pith_short_8: 6LU6PX7E

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/6LU6PX7EHQY3FARY7SFMFMUTY4 \
  | 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: f2e9e7dfe43c31b28238fc8ac2b293c710f50165b3fa7439b2513ccd9bea0f90

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c605a12079f8080cd9a5240888bbc0f440305357e05c930f26f0008ec7580b75",
    "cross_cats_sorted": [
      "math.DS",
      "math.SG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.flu-dyn",
    "submitted_at": "2015-05-22T04:54:38Z",
    "title_canon_sha256": "5c9e27d251f51e572db7f4904d830dceec98913da5418808601d7968cac59f52"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.05950",
    "kind": "arxiv",
    "version": 5
  }
}