Pith Number

pith:UPPIBCKY

pith:2021:UPPIBCKYAAY4FRUFU5E3ISQCMH

not attested not anchored not stored refs pending

Neural Differential Equations for Inverse Modeling in Model Combustors

Long Zhang, Sili Deng, Wantong Wu, Weiqi Ji, Xingyu Su, Zhuyin Ren

arxiv:2107.11510 v1 · 2021-07-24 · physics.flu-dyn · physics.comp-ph

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UPPIBCKYAAY4FRUFU5E3ISQCMH}

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	2026-07-05T03:00:35.626407Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a3de8089580031c2c685a749b44a0261d14d6f62e53949dcd9ca501484dec0ce

Aliases

arxiv: 2107.11510 · arxiv_version: 2107.11510v1 · doi: 10.48550/arxiv.2107.11510 · pith_short_12: UPPIBCKYAAY4 · pith_short_16: UPPIBCKYAAY4FRUF · pith_short_8: UPPIBCKY

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/UPPIBCKYAAY4FRUFU5E3ISQCMH \
  | 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: a3de8089580031c2c685a749b44a0261d14d6f62e53949dcd9ca501484dec0ce

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5ad4d71a609b7d45d3955ef259422b84e10b8576cc7a8eed5c3403f2733868e9",
    "cross_cats_sorted": [
      "physics.comp-ph"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "physics.flu-dyn",
    "submitted_at": "2021-07-24T02:06:19Z",
    "title_canon_sha256": "4cc08b3e4b144e9bf2406bb2b05021daf4c41305ae56e15629e5ec5d9991642a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2107.11510",
    "kind": "arxiv",
    "version": 1
  }
}