Pith Number

pith:7X4YASX3

pith:2026:7X4YASX3XHLAOZFYIBFROG4WOS

not attested not anchored not stored refs pending

G-PINNs: Gaussian-based spatially weighted formulation for PINNs: 1D low-viscous Burgers

Abdelhalim Azzouz, Esteban Ferrer, Kheir-eddine Otmani, Nourelhouda Groun

arxiv:2606.26013 v1 · 2026-06-24 · 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{7X4YASX3XHLAOZFYIBFROG4WOS}

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	2026-06-25T01:18:45.861685Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fdf9804afbb9d60764b8404b171b96749222470ef5df6e8dfc4e5b5a0b26fcea

Aliases

arxiv: 2606.26013 · arxiv_version: 2606.26013v1 · doi: 10.48550/arxiv.2606.26013 · pith_short_12: 7X4YASX3XHLA · pith_short_16: 7X4YASX3XHLAOZFY · pith_short_8: 7X4YASX3

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/7X4YASX3XHLAOZFYIBFROG4WOS \
  | 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: fdf9804afbb9d60764b8404b171b96749222470ef5df6e8dfc4e5b5a0b26fcea

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5af64bc82d0eb460bc1fc463c871473d0a6b28f612f8374c076433952461ed2d",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "physics.flu-dyn",
    "submitted_at": "2026-06-24T16:32:51Z",
    "title_canon_sha256": "6ce6362a3604c85621734d79ea0c7f0ff2cbb47c4323a3ea481ac82877a1df77"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.26013",
    "kind": "arxiv",
    "version": 1
  }
}