Pith Number

pith:LP347OTM

pith:2025:LP347OTM4HI77OJFJCEKBNQNQP

not attested not anchored not stored refs pending

Learning Rarefied Gas Dynamics with Physics-Enforced Neural Networks

Ahmad Peyvan, Ahmad Shoja-Sani, Bijan Goshayeshi, Ehsan Roohi

arxiv:2509.06231 v1 · 2025-09-07 · 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{LP347OTM4HI77OJFJCEKBNQNQP}

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	2026-07-05T12:06:32.105576Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5bf7cfba6ce1d1ffb9254888a0b60d83f5b9f74f55de99c3116a06313eeae876

Aliases

arxiv: 2509.06231 · arxiv_version: 2509.06231v1 · doi: 10.48550/arxiv.2509.06231 · pith_short_12: LP347OTM4HI7 · pith_short_16: LP347OTM4HI77OJF · pith_short_8: LP347OTM

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/LP347OTM4HI77OJFJCEKBNQNQP \
  | 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: 5bf7cfba6ce1d1ffb9254888a0b60d83f5b9f74f55de99c3116a06313eeae876

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "03d8e9a0e7d59ce2050a8ae3c470cdaedeebb6bbf1d27ad1a12fbb746fa0867f",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "physics.flu-dyn",
    "submitted_at": "2025-09-07T22:41:17Z",
    "title_canon_sha256": "3183110c2a30b86ccfeeab7d0c705824526bc228078311836705652f8ab0855b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2509.06231",
    "kind": "arxiv",
    "version": 1
  }
}