Pith Number

pith:3W6B7PUJ

pith:2026:3W6B7PUJKFXJJEA46CCQZUTJYL

not attested not anchored not stored refs pending

Extra Invariant in Magnetohydrodynamics of Planets and Stars

Alexander M. Balk

arxiv:2607.07654 v1 · 2026-07-08 · astro-ph.EP · math-ph · math.MP · physics.flu-dyn · physics.geo-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{3W6B7PUJKFXJJEA46CCQZUTJYL}

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	2026-07-09T01:20:38.097712Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ddbc1fbe89516e94901cf0850cd269c2fec882a2266c16999221f82ca9dbe205

Aliases

arxiv: 2607.07654 · arxiv_version: 2607.07654v1 · doi: 10.48550/arxiv.2607.07654 · pith_short_12: 3W6B7PUJKFXJ · pith_short_16: 3W6B7PUJKFXJJEA4 · pith_short_8: 3W6B7PUJ

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/3W6B7PUJKFXJJEA46CCQZUTJYL \
  | 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: ddbc1fbe89516e94901cf0850cd269c2fec882a2266c16999221f82ca9dbe205

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "82535f0dc1da94a6bd89ae3d922f4dbd24f3cae7882738c146ac96ef60a28c93",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "physics.flu-dyn",
      "physics.geo-ph"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "astro-ph.EP",
    "submitted_at": "2026-07-08T17:09:45Z",
    "title_canon_sha256": "8173558d9933999a1def78577ddc81733a9ec98eccde28ce3686d99c35c3fc6c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.07654",
    "kind": "arxiv",
    "version": 1
  }
}