Pith Number

pith:Z45RQM2I

pith:2026:Z45RQM2IAXN2H5VWPKBZQIQXT6

not attested not anchored not stored refs pending

Physics-Informed Neural Networks for coupled stiff transport systems

Gabriel Turinici, Laetitia Laguzet

arxiv:2606.21236 v1 · 2026-06-19 · physics.comp-ph · cs.NA · math.NA · math.OC · 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{Z45RQM2IAXN2H5VWPKBZQIQXT6}

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	2026-06-23T01:12:34.332851Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cf3b18334805dba3f6b67a839822179fa92c60b0475773bbb5b0935d09b31355

Aliases

arxiv: 2606.21236 · arxiv_version: 2606.21236v1 · doi: 10.48550/arxiv.2606.21236 · pith_short_12: Z45RQM2IAXN2 · pith_short_16: Z45RQM2IAXN2H5VW · pith_short_8: Z45RQM2I

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/Z45RQM2IAXN2H5VWPKBZQIQXT6 \
  | 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: cf3b18334805dba3f6b67a839822179fa92c60b0475773bbb5b0935d09b31355

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3a5fed89d579dcf67f35ea0710926a386fdf88b03443a321c4aa2ee5153c4f1d",
    "cross_cats_sorted": [
      "cs.NA",
      "math.NA",
      "math.OC",
      "physics.flu-dyn"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "physics.comp-ph",
    "submitted_at": "2026-06-19T08:59:38Z",
    "title_canon_sha256": "a058e3676227ff6320fdb69ab218e81c8b3d9f27431da3e6fed372e0190c3f80"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.21236",
    "kind": "arxiv",
    "version": 1
  }
}