Pith Number

pith:TEKSSWN7

pith:2010:TEKSSWN7MSIVNCOMMTGNUFKMW4

not attested not anchored not stored refs pending

The gradient of potential vorticity, quaternions and an orthonormal frame for fluid particles

D. D. Holm, J. D. Gibbon

arxiv:1006.3891 v1 · 2010-06-19 · nlin.CD · math-ph · math.MP · physics.ao-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TEKSSWN7MSIVNCOMMTGNUFKMW4}

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	2026-05-18T02:06:44.322401Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

99152959bf64915689cc64ccda154cb71c6e12d408ab5db35289fb673ba25174

Aliases

arxiv: 1006.3891 · arxiv_version: 1006.3891v1 · doi: 10.48550/arxiv.1006.3891 · pith_short_12: TEKSSWN7MSIV · pith_short_16: TEKSSWN7MSIVNCOM · pith_short_8: TEKSSWN7

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/TEKSSWN7MSIVNCOMMTGNUFKMW4 \
  | 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: 99152959bf64915689cc64ccda154cb71c6e12d408ab5db35289fb673ba25174

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "84997ab50d3bf72febcf32350cbfe2b3d025a6abfbe3e46a439c7132112aaafb",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "physics.ao-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "nlin.CD",
    "submitted_at": "2010-06-19T20:56:45Z",
    "title_canon_sha256": "6b752dcf0f4e96433b8a34be3b2fb7e17b9c3fd399ae6413da3d1559f074c652"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1006.3891",
    "kind": "arxiv",
    "version": 1
  }
}