Pith Number

pith:ZD3PZIU4

pith:2026:ZD3PZIU4H6HUQUIOAYULBI3VJM

not attested not anchored not stored refs pending

A Differentiable Programming Framework for Accurate and Stable Reduced-Order Modeling of Chaotic Flows

Anant Kumar, Oliver Morales, Rohit Deshmukh

arxiv:2605.26416 v1 · 2026-05-26 · physics.comp-ph · nlin.CD · 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{ZD3PZIU4H6HUQUIOAYULBI3VJM}

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	2026-05-27T01:05:16.761674Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c8f6fca29c3f8f48510e0628b0a3754b3fd9d43ddf4c0c58fa43a4414e16f2cf

Aliases

arxiv: 2605.26416 · arxiv_version: 2605.26416v1 · doi: 10.48550/arxiv.2605.26416 · pith_short_12: ZD3PZIU4H6HU · pith_short_16: ZD3PZIU4H6HUQUIO · pith_short_8: ZD3PZIU4

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/ZD3PZIU4H6HUQUIOAYULBI3VJM \
  | 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: c8f6fca29c3f8f48510e0628b0a3754b3fd9d43ddf4c0c58fa43a4414e16f2cf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a88a98072f7d692687a709ee15c04c0a1e794c7af831fa8dc1332a3dca760e50",
    "cross_cats_sorted": [
      "nlin.CD",
      "physics.flu-dyn"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.comp-ph",
    "submitted_at": "2026-05-26T00:48:12Z",
    "title_canon_sha256": "7f2074646c93bbdc8b2a25572796e8f41e4d987bbb44bdd50b1036222c46b90b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.26416",
    "kind": "arxiv",
    "version": 1
  }
}