Pith Number

pith:SO26JY3P

pith:2026:SO26JY3PF4DJROCOBVDLA5SDTT

not attested not anchored not stored refs pending

Subgrid Modelling for Relativistic Magnetohydrodynamics with Machine Learning

Sebastiano Bernuzzi, William Cook

arxiv:2606.21659 v1 · 2026-06-19 · astro-ph.HE · gr-qc · physics.flu-dyn

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SO26JY3PF4DJROCOBVDLA5SDTT}

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	2026-06-23T01:13:18.180043Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

93b5e4e36f2f0698b84e0d46b076439cddfa9e6ca62800b9a3a5dc246e1bd335

Aliases

arxiv: 2606.21659 · arxiv_version: 2606.21659v1 · doi: 10.48550/arxiv.2606.21659 · pith_short_12: SO26JY3PF4DJ · pith_short_16: SO26JY3PF4DJROCO · pith_short_8: SO26JY3P

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/SO26JY3PF4DJROCOBVDLA5SDTT \
  | 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: 93b5e4e36f2f0698b84e0d46b076439cddfa9e6ca62800b9a3a5dc246e1bd335

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cad6a12eb5d3b1622514e11fded96b962d91f976f36defb845c5f9caef34b829",
    "cross_cats_sorted": [
      "gr-qc",
      "physics.flu-dyn"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.HE",
    "submitted_at": "2026-06-19T18:03:14Z",
    "title_canon_sha256": "fd9398c2877f4bef438b943a24494cc0eb87319466709a700ad046ce71426524"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.21659",
    "kind": "arxiv",
    "version": 1
  }
}