Pith Number

pith:FJTYZQJC

pith:2026:FJTYZQJC3DQ56BNNFYDQUAKQHU

not attested not anchored not stored refs pending

Per Astronomix ad Astra: High-Order Differentiable (Magneto)hydrodynamics with Energy-Conserving Self-Gravity

Leonard Storcks, Nils Thuerey, Tobias Buck

arxiv:2607.18176 v1 · 2026-07-20 · astro-ph.IM · 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{FJTYZQJC3DQ56BNNFYDQUAKQHU}

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	2026-07-21T02:22:26.136162Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2a678cc122d8e1df05ad2e070a01503d34f9294ee5bde94773c0b118242cb0d8

Aliases

arxiv: 2607.18176 · arxiv_version: 2607.18176v1 · doi: 10.48550/arxiv.2607.18176 · pith_short_12: FJTYZQJC3DQ5 · pith_short_16: FJTYZQJC3DQ56BNN · pith_short_8: FJTYZQJC

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/FJTYZQJC3DQ56BNNFYDQUAKQHU \
  | 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: 2a678cc122d8e1df05ad2e070a01503d34f9294ee5bde94773c0b118242cb0d8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d3832ba01010d6f0ef3fae3ae2aaa241d7169687381ae6508a6d7b4b1b2fbf5c",
    "cross_cats_sorted": [
      "physics.flu-dyn"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "astro-ph.IM",
    "submitted_at": "2026-07-20T17:14:07Z",
    "title_canon_sha256": "d6735f3325b5d15055b5fd4e59f6ad7f8507214e9b87e6eada059082b259b0c7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.18176",
    "kind": "arxiv",
    "version": 1
  }
}