Pith Number

pith:SM6EWDCO

pith:2020:SM6EWDCOMYOFKQF3XVFLHAONGX

not attested not anchored not stored refs pending

Learning Thermodynamically Stable and Galilean Invariant Partial Differential Equations for Non-equilibrium Flows

Juntao Huang, Wen-an Yong, Yizhou Zhou, Zhiting Ma

arxiv:2009.13415 v2 · 2020-09-28 · physics.comp-ph · cs.LG · cs.NA · math.NA · 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{SM6EWDCOMYOFKQF3XVFLHAONGX}

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	2026-07-05T03:21:39.476137Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

933c4b0c4e661c5540bbbd4ab381cd35d4d2b5ad875c230f8797123d74f0cc83

Aliases

arxiv: 2009.13415 · arxiv_version: 2009.13415v2 · doi: 10.48550/arxiv.2009.13415 · pith_short_12: SM6EWDCOMYOF · pith_short_16: SM6EWDCOMYOFKQF3 · pith_short_8: SM6EWDCO

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/SM6EWDCOMYOFKQF3XVFLHAONGX \
  | 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: 933c4b0c4e661c5540bbbd4ab381cd35d4d2b5ad875c230f8797123d74f0cc83

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "73ab16f834676edd675b80ef258c8621ec9835a225397254b7ed6c5d150ef730",
    "cross_cats_sorted": [
      "cs.LG",
      "cs.NA",
      "math.NA",
      "physics.flu-dyn"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "physics.comp-ph",
    "submitted_at": "2020-09-28T15:31:16Z",
    "title_canon_sha256": "4a8d01eb0cf95b06d8411860bfe474a4ef1d80f322779d4136fa1ae749cc9ff6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2009.13415",
    "kind": "arxiv",
    "version": 2
  }
}